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7.34k
9
2939-2942
13(b)], two Rationalised 2023-24 Physics 316 deuterons combine to form the light isotope of helium In reaction (13 13c), two deuterons combine to form a triton and a proton For fusion to take place, the two nuclei must come close enough so that attractive short-range nuclear force is able to affect them
9
2940-2943
In reaction (13 13c), two deuterons combine to form a triton and a proton For fusion to take place, the two nuclei must come close enough so that attractive short-range nuclear force is able to affect them However, since they are both positively charged particles, they experience coulomb repulsion
9
2941-2944
13c), two deuterons combine to form a triton and a proton For fusion to take place, the two nuclei must come close enough so that attractive short-range nuclear force is able to affect them However, since they are both positively charged particles, they experience coulomb repulsion They, therefore, must have enough energy to overcome this coulomb barrier
9
2942-2945
For fusion to take place, the two nuclei must come close enough so that attractive short-range nuclear force is able to affect them However, since they are both positively charged particles, they experience coulomb repulsion They, therefore, must have enough energy to overcome this coulomb barrier The height of the barrier depends on the charges and radii of the two interacting nuclei
9
2943-2946
However, since they are both positively charged particles, they experience coulomb repulsion They, therefore, must have enough energy to overcome this coulomb barrier The height of the barrier depends on the charges and radii of the two interacting nuclei It can be shown, for example, that the barrier height for two protons is ~ 400 keV, and is higher for nuclei with higher charges
9
2944-2947
They, therefore, must have enough energy to overcome this coulomb barrier The height of the barrier depends on the charges and radii of the two interacting nuclei It can be shown, for example, that the barrier height for two protons is ~ 400 keV, and is higher for nuclei with higher charges We can estimate the temperature at which two protons in a proton gas would (averagely) have enough energy to overcome the coulomb barrier: (3/2)k T = K ≃ 400 keV, which gives T ~ 3 × 109 K
9
2945-2948
The height of the barrier depends on the charges and radii of the two interacting nuclei It can be shown, for example, that the barrier height for two protons is ~ 400 keV, and is higher for nuclei with higher charges We can estimate the temperature at which two protons in a proton gas would (averagely) have enough energy to overcome the coulomb barrier: (3/2)k T = K ≃ 400 keV, which gives T ~ 3 × 109 K When fusion is achieved by raising the temperature of the system so that particles have enough kinetic energy to overcome the coulomb repulsive behaviour, it is called thermonuclear fusion
9
2946-2949
It can be shown, for example, that the barrier height for two protons is ~ 400 keV, and is higher for nuclei with higher charges We can estimate the temperature at which two protons in a proton gas would (averagely) have enough energy to overcome the coulomb barrier: (3/2)k T = K ≃ 400 keV, which gives T ~ 3 × 109 K When fusion is achieved by raising the temperature of the system so that particles have enough kinetic energy to overcome the coulomb repulsive behaviour, it is called thermonuclear fusion Thermonuclear fusion is the source of energy output in the interior of stars
9
2947-2950
We can estimate the temperature at which two protons in a proton gas would (averagely) have enough energy to overcome the coulomb barrier: (3/2)k T = K ≃ 400 keV, which gives T ~ 3 × 109 K When fusion is achieved by raising the temperature of the system so that particles have enough kinetic energy to overcome the coulomb repulsive behaviour, it is called thermonuclear fusion Thermonuclear fusion is the source of energy output in the interior of stars The interior of the sun has a temperature of 1
9
2948-2951
When fusion is achieved by raising the temperature of the system so that particles have enough kinetic energy to overcome the coulomb repulsive behaviour, it is called thermonuclear fusion Thermonuclear fusion is the source of energy output in the interior of stars The interior of the sun has a temperature of 1 5×107 K, which is considerably less than the estimated temperature required for fusion of particles of average energy
9
2949-2952
Thermonuclear fusion is the source of energy output in the interior of stars The interior of the sun has a temperature of 1 5×107 K, which is considerably less than the estimated temperature required for fusion of particles of average energy Clearly, fusion in the sun involves protons whose energies are much above the average energy
9
2950-2953
The interior of the sun has a temperature of 1 5×107 K, which is considerably less than the estimated temperature required for fusion of particles of average energy Clearly, fusion in the sun involves protons whose energies are much above the average energy The fusion reaction in the sun is a multi-step process in which the hydrogen is burned into helium
9
2951-2954
5×107 K, which is considerably less than the estimated temperature required for fusion of particles of average energy Clearly, fusion in the sun involves protons whose energies are much above the average energy The fusion reaction in the sun is a multi-step process in which the hydrogen is burned into helium Thus, the fuel in the sun is the hydrogen in its core
9
2952-2955
Clearly, fusion in the sun involves protons whose energies are much above the average energy The fusion reaction in the sun is a multi-step process in which the hydrogen is burned into helium Thus, the fuel in the sun is the hydrogen in its core The proton-proton (p, p) cycle by which this occurs is represented by the following sets of reactions: 1 1 2 1 1 1 H H H + → + e+ + n + 0
9
2953-2956
The fusion reaction in the sun is a multi-step process in which the hydrogen is burned into helium Thus, the fuel in the sun is the hydrogen in its core The proton-proton (p, p) cycle by which this occurs is represented by the following sets of reactions: 1 1 2 1 1 1 H H H + → + e+ + n + 0 42 MeV (i) e + + e – ® g + g + 1
9
2954-2957
Thus, the fuel in the sun is the hydrogen in its core The proton-proton (p, p) cycle by which this occurs is represented by the following sets of reactions: 1 1 2 1 1 1 H H H + → + e+ + n + 0 42 MeV (i) e + + e – ® g + g + 1 02 MeV (ii) 2 1 3 1 1 2 H H He + → + g + 5
9
2955-2958
The proton-proton (p, p) cycle by which this occurs is represented by the following sets of reactions: 1 1 2 1 1 1 H H H + → + e+ + n + 0 42 MeV (i) e + + e – ® g + g + 1 02 MeV (ii) 2 1 3 1 1 2 H H He + → + g + 5 49 MeV (iii) + → + + 3 3 4 1 1 2 2 2 1 1 He He He H H + 12
9
2956-2959
42 MeV (i) e + + e – ® g + g + 1 02 MeV (ii) 2 1 3 1 1 2 H H He + → + g + 5 49 MeV (iii) + → + + 3 3 4 1 1 2 2 2 1 1 He He He H H + 12 86 MeV (iv) (13
9
2957-2960
02 MeV (ii) 2 1 3 1 1 2 H H He + → + g + 5 49 MeV (iii) + → + + 3 3 4 1 1 2 2 2 1 1 He He He H H + 12 86 MeV (iv) (13 14) For the fourth reaction to occur, the first three reactions must occur twice, in which case two light helium nuclei unite to form ordinary helium nucleus
9
2958-2961
49 MeV (iii) + → + + 3 3 4 1 1 2 2 2 1 1 He He He H H + 12 86 MeV (iv) (13 14) For the fourth reaction to occur, the first three reactions must occur twice, in which case two light helium nuclei unite to form ordinary helium nucleus If we consider the combination 2(i) + 2(ii) + 2(iii) +(iv), the net effect is 1 4 1 2 4 H 2 He 2 6 26
9
2959-2962
86 MeV (iv) (13 14) For the fourth reaction to occur, the first three reactions must occur twice, in which case two light helium nuclei unite to form ordinary helium nucleus If we consider the combination 2(i) + 2(ii) + 2(iii) +(iv), the net effect is 1 4 1 2 4 H 2 He 2 6 26 7 MeV e ν γ − + → + + + or 1 4 1 2 (4 H 4 ) ( He 2 ) 2 6 26
9
2960-2963
14) For the fourth reaction to occur, the first three reactions must occur twice, in which case two light helium nuclei unite to form ordinary helium nucleus If we consider the combination 2(i) + 2(ii) + 2(iii) +(iv), the net effect is 1 4 1 2 4 H 2 He 2 6 26 7 MeV e ν γ − + → + + + or 1 4 1 2 (4 H 4 ) ( He 2 ) 2 6 26 7MeV e e ν γ − − + → + + + + (13
9
2961-2964
If we consider the combination 2(i) + 2(ii) + 2(iii) +(iv), the net effect is 1 4 1 2 4 H 2 He 2 6 26 7 MeV e ν γ − + → + + + or 1 4 1 2 (4 H 4 ) ( He 2 ) 2 6 26 7MeV e e ν γ − − + → + + + + (13 15) Thus, four hydrogen atoms combine to form an 4 2He atom with a release of 26
9
2962-2965
7 MeV e ν γ − + → + + + or 1 4 1 2 (4 H 4 ) ( He 2 ) 2 6 26 7MeV e e ν γ − − + → + + + + (13 15) Thus, four hydrogen atoms combine to form an 4 2He atom with a release of 26 7 MeV of energy
9
2963-2966
7MeV e e ν γ − − + → + + + + (13 15) Thus, four hydrogen atoms combine to form an 4 2He atom with a release of 26 7 MeV of energy Helium is not the only element that can be synthesized in the interior of a star
9
2964-2967
15) Thus, four hydrogen atoms combine to form an 4 2He atom with a release of 26 7 MeV of energy Helium is not the only element that can be synthesized in the interior of a star As the hydrogen in the core gets depleted and becomes helium, the core starts to cool
9
2965-2968
7 MeV of energy Helium is not the only element that can be synthesized in the interior of a star As the hydrogen in the core gets depleted and becomes helium, the core starts to cool The star begins to collapse under its own gravity which increases the temperature of the core
9
2966-2969
Helium is not the only element that can be synthesized in the interior of a star As the hydrogen in the core gets depleted and becomes helium, the core starts to cool The star begins to collapse under its own gravity which increases the temperature of the core If this temperature increases to about 108 K, fusion takes place again, this time of helium nuclei into carbon
9
2967-2970
As the hydrogen in the core gets depleted and becomes helium, the core starts to cool The star begins to collapse under its own gravity which increases the temperature of the core If this temperature increases to about 108 K, fusion takes place again, this time of helium nuclei into carbon This kind of process can generate through fusion higher and higher mass number elements
9
2968-2971
The star begins to collapse under its own gravity which increases the temperature of the core If this temperature increases to about 108 K, fusion takes place again, this time of helium nuclei into carbon This kind of process can generate through fusion higher and higher mass number elements But elements more massive than those near the peak of the binding energy curve in Fig
9
2969-2972
If this temperature increases to about 108 K, fusion takes place again, this time of helium nuclei into carbon This kind of process can generate through fusion higher and higher mass number elements But elements more massive than those near the peak of the binding energy curve in Fig 13
9
2970-2973
This kind of process can generate through fusion higher and higher mass number elements But elements more massive than those near the peak of the binding energy curve in Fig 13 1 cannot be so produced
9
2971-2974
But elements more massive than those near the peak of the binding energy curve in Fig 13 1 cannot be so produced Rationalised 2023-24 317 Nuclei The age of the sun is about 5×109 y and it is estimated that there is enough hydrogen in the sun to keep it going for another 5 billion years
9
2972-2975
13 1 cannot be so produced Rationalised 2023-24 317 Nuclei The age of the sun is about 5×109 y and it is estimated that there is enough hydrogen in the sun to keep it going for another 5 billion years After that, the hydrogen burning will stop and the sun will begin to cool and will start to collapse under gravity, which will raise the core temperature
9
2973-2976
1 cannot be so produced Rationalised 2023-24 317 Nuclei The age of the sun is about 5×109 y and it is estimated that there is enough hydrogen in the sun to keep it going for another 5 billion years After that, the hydrogen burning will stop and the sun will begin to cool and will start to collapse under gravity, which will raise the core temperature The outer envelope of the sun will expand, turning it into the so called red giant
9
2974-2977
Rationalised 2023-24 317 Nuclei The age of the sun is about 5×109 y and it is estimated that there is enough hydrogen in the sun to keep it going for another 5 billion years After that, the hydrogen burning will stop and the sun will begin to cool and will start to collapse under gravity, which will raise the core temperature The outer envelope of the sun will expand, turning it into the so called red giant 13
9
2975-2978
After that, the hydrogen burning will stop and the sun will begin to cool and will start to collapse under gravity, which will raise the core temperature The outer envelope of the sun will expand, turning it into the so called red giant 13 7
9
2976-2979
The outer envelope of the sun will expand, turning it into the so called red giant 13 7 3 Controlled thermonuclear fusion The natural thermonuclear fusion process in a star is replicated in a thermonuclear fusion device
9
2977-2980
13 7 3 Controlled thermonuclear fusion The natural thermonuclear fusion process in a star is replicated in a thermonuclear fusion device In controlled fusion reactors, the aim is to generate steady power by heating the nuclear fuel to a temperature in the range of 108 K
9
2978-2981
7 3 Controlled thermonuclear fusion The natural thermonuclear fusion process in a star is replicated in a thermonuclear fusion device In controlled fusion reactors, the aim is to generate steady power by heating the nuclear fuel to a temperature in the range of 108 K At these temperatures, the fuel is a mixture of positive ions and electrons (plasma)
9
2979-2982
3 Controlled thermonuclear fusion The natural thermonuclear fusion process in a star is replicated in a thermonuclear fusion device In controlled fusion reactors, the aim is to generate steady power by heating the nuclear fuel to a temperature in the range of 108 K At these temperatures, the fuel is a mixture of positive ions and electrons (plasma) The challenge is to confine this plasma, since no container can stand such a high temperature
9
2980-2983
In controlled fusion reactors, the aim is to generate steady power by heating the nuclear fuel to a temperature in the range of 108 K At these temperatures, the fuel is a mixture of positive ions and electrons (plasma) The challenge is to confine this plasma, since no container can stand such a high temperature Several countries around the world including India are developing techniques in this connection
9
2981-2984
At these temperatures, the fuel is a mixture of positive ions and electrons (plasma) The challenge is to confine this plasma, since no container can stand such a high temperature Several countries around the world including India are developing techniques in this connection If successful, fusion reactors will hopefully supply almost unlimited power to humanity
9
2982-2985
The challenge is to confine this plasma, since no container can stand such a high temperature Several countries around the world including India are developing techniques in this connection If successful, fusion reactors will hopefully supply almost unlimited power to humanity Example 13
9
2983-2986
Several countries around the world including India are developing techniques in this connection If successful, fusion reactors will hopefully supply almost unlimited power to humanity Example 13 4 Answer the following questions: (a) Are the equations of nuclear reactions (such as those given in Section 13
9
2984-2987
If successful, fusion reactors will hopefully supply almost unlimited power to humanity Example 13 4 Answer the following questions: (a) Are the equations of nuclear reactions (such as those given in Section 13 7) ‘balanced’ in the sense a chemical equation (e
9
2985-2988
Example 13 4 Answer the following questions: (a) Are the equations of nuclear reactions (such as those given in Section 13 7) ‘balanced’ in the sense a chemical equation (e g
9
2986-2989
4 Answer the following questions: (a) Are the equations of nuclear reactions (such as those given in Section 13 7) ‘balanced’ in the sense a chemical equation (e g , 2H2 + O2® 2 H2O) is
9
2987-2990
7) ‘balanced’ in the sense a chemical equation (e g , 2H2 + O2® 2 H2O) is If not, in what sense are they balanced on both sides
9
2988-2991
g , 2H2 + O2® 2 H2O) is If not, in what sense are they balanced on both sides (b) If both the number of protons and the number of neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice-versa) in a nuclear reaction
9
2989-2992
, 2H2 + O2® 2 H2O) is If not, in what sense are they balanced on both sides (b) If both the number of protons and the number of neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice-versa) in a nuclear reaction (c) A general impression exists that mass-energy interconversion takes place only in nuclear reaction and never in chemical reaction
9
2990-2993
If not, in what sense are they balanced on both sides (b) If both the number of protons and the number of neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice-versa) in a nuclear reaction (c) A general impression exists that mass-energy interconversion takes place only in nuclear reaction and never in chemical reaction This is strictly speaking, incorrect
9
2991-2994
(b) If both the number of protons and the number of neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice-versa) in a nuclear reaction (c) A general impression exists that mass-energy interconversion takes place only in nuclear reaction and never in chemical reaction This is strictly speaking, incorrect Explain
9
2992-2995
(c) A general impression exists that mass-energy interconversion takes place only in nuclear reaction and never in chemical reaction This is strictly speaking, incorrect Explain Solution (a) A chemical equation is balanced in the sense that the number of atoms of each element is the same on both sides of the equation
9
2993-2996
This is strictly speaking, incorrect Explain Solution (a) A chemical equation is balanced in the sense that the number of atoms of each element is the same on both sides of the equation A chemical reaction merely alters the original combinations of atoms
9
2994-2997
Explain Solution (a) A chemical equation is balanced in the sense that the number of atoms of each element is the same on both sides of the equation A chemical reaction merely alters the original combinations of atoms In a nuclear reaction, elements may be transmuted
9
2995-2998
Solution (a) A chemical equation is balanced in the sense that the number of atoms of each element is the same on both sides of the equation A chemical reaction merely alters the original combinations of atoms In a nuclear reaction, elements may be transmuted Thus, the number of atoms of each element is not necessarily conserved in a nuclear reaction
9
2996-2999
A chemical reaction merely alters the original combinations of atoms In a nuclear reaction, elements may be transmuted Thus, the number of atoms of each element is not necessarily conserved in a nuclear reaction However, the number of protons and the number of neutrons are both separately conserved in a nuclear reaction
9
2997-3000
In a nuclear reaction, elements may be transmuted Thus, the number of atoms of each element is not necessarily conserved in a nuclear reaction However, the number of protons and the number of neutrons are both separately conserved in a nuclear reaction [Actually, even this is not strictly true in the realm of very high energies – what is strictly conserved is the total charge and total ‘baryon number’
9
2998-3001
Thus, the number of atoms of each element is not necessarily conserved in a nuclear reaction However, the number of protons and the number of neutrons are both separately conserved in a nuclear reaction [Actually, even this is not strictly true in the realm of very high energies – what is strictly conserved is the total charge and total ‘baryon number’ We need not pursue this matter here
9
2999-3002
However, the number of protons and the number of neutrons are both separately conserved in a nuclear reaction [Actually, even this is not strictly true in the realm of very high energies – what is strictly conserved is the total charge and total ‘baryon number’ We need not pursue this matter here ] In nuclear reactions (e
9
3000-3003
[Actually, even this is not strictly true in the realm of very high energies – what is strictly conserved is the total charge and total ‘baryon number’ We need not pursue this matter here ] In nuclear reactions (e g
9
3001-3004
We need not pursue this matter here ] In nuclear reactions (e g , Eq
9
3002-3005
] In nuclear reactions (e g , Eq 13
9
3003-3006
g , Eq 13 10), the number of protons and the number of neutrons are the same on the two sides of the equation
9
3004-3007
, Eq 13 10), the number of protons and the number of neutrons are the same on the two sides of the equation (b) We know that the binding energy of a nucleus gives a negative contribution to the mass of the nucleus (mass defect)
9
3005-3008
13 10), the number of protons and the number of neutrons are the same on the two sides of the equation (b) We know that the binding energy of a nucleus gives a negative contribution to the mass of the nucleus (mass defect) Now, since proton number and neutron number are conserved in a nuclear reaction, the total rest mass of neutrons and protons is the same on either side of a reaction
9
3006-3009
10), the number of protons and the number of neutrons are the same on the two sides of the equation (b) We know that the binding energy of a nucleus gives a negative contribution to the mass of the nucleus (mass defect) Now, since proton number and neutron number are conserved in a nuclear reaction, the total rest mass of neutrons and protons is the same on either side of a reaction But the total binding energy of nuclei on the left side need not be the same as that on the right hand side
9
3007-3010
(b) We know that the binding energy of a nucleus gives a negative contribution to the mass of the nucleus (mass defect) Now, since proton number and neutron number are conserved in a nuclear reaction, the total rest mass of neutrons and protons is the same on either side of a reaction But the total binding energy of nuclei on the left side need not be the same as that on the right hand side The difference in these binding energies appears as energy released or absorbed in a nuclear reaction
9
3008-3011
Now, since proton number and neutron number are conserved in a nuclear reaction, the total rest mass of neutrons and protons is the same on either side of a reaction But the total binding energy of nuclei on the left side need not be the same as that on the right hand side The difference in these binding energies appears as energy released or absorbed in a nuclear reaction Since binding energy EXAMPLE 13
9
3009-3012
But the total binding energy of nuclei on the left side need not be the same as that on the right hand side The difference in these binding energies appears as energy released or absorbed in a nuclear reaction Since binding energy EXAMPLE 13 4 Rationalised 2023-24 Physics 318 EXAMPLE 13
9
3010-3013
The difference in these binding energies appears as energy released or absorbed in a nuclear reaction Since binding energy EXAMPLE 13 4 Rationalised 2023-24 Physics 318 EXAMPLE 13 4 contributes to mass, we say that the difference in the total mass of nuclei on the two sides get converted into energy or vice-versa
9
3011-3014
Since binding energy EXAMPLE 13 4 Rationalised 2023-24 Physics 318 EXAMPLE 13 4 contributes to mass, we say that the difference in the total mass of nuclei on the two sides get converted into energy or vice-versa It is in these sense that a nuclear reaction is an example of mass- energy interconversion
9
3012-3015
4 Rationalised 2023-24 Physics 318 EXAMPLE 13 4 contributes to mass, we say that the difference in the total mass of nuclei on the two sides get converted into energy or vice-versa It is in these sense that a nuclear reaction is an example of mass- energy interconversion (c) From the point of view of mass-energy interconversion, a chemical reaction is similar to a nuclear reaction in principle
9
3013-3016
4 contributes to mass, we say that the difference in the total mass of nuclei on the two sides get converted into energy or vice-versa It is in these sense that a nuclear reaction is an example of mass- energy interconversion (c) From the point of view of mass-energy interconversion, a chemical reaction is similar to a nuclear reaction in principle The energy released or absorbed in a chemical reaction can be traced to the difference in chemical (not nuclear) binding energies of atoms and molecules on the two sides of a reaction
9
3014-3017
It is in these sense that a nuclear reaction is an example of mass- energy interconversion (c) From the point of view of mass-energy interconversion, a chemical reaction is similar to a nuclear reaction in principle The energy released or absorbed in a chemical reaction can be traced to the difference in chemical (not nuclear) binding energies of atoms and molecules on the two sides of a reaction Since, strictly speaking, chemical binding energy also gives a negative contribution (mass defect) to the total mass of an atom or molecule, we can equally well say that the difference in the total mass of atoms or molecules, on the two sides of the chemical reaction gets converted into energy or vice-versa
9
3015-3018
(c) From the point of view of mass-energy interconversion, a chemical reaction is similar to a nuclear reaction in principle The energy released or absorbed in a chemical reaction can be traced to the difference in chemical (not nuclear) binding energies of atoms and molecules on the two sides of a reaction Since, strictly speaking, chemical binding energy also gives a negative contribution (mass defect) to the total mass of an atom or molecule, we can equally well say that the difference in the total mass of atoms or molecules, on the two sides of the chemical reaction gets converted into energy or vice-versa However, the mass defects involved in a chemical reaction are almost a million times smaller than those in a nuclear reaction
9
3016-3019
The energy released or absorbed in a chemical reaction can be traced to the difference in chemical (not nuclear) binding energies of atoms and molecules on the two sides of a reaction Since, strictly speaking, chemical binding energy also gives a negative contribution (mass defect) to the total mass of an atom or molecule, we can equally well say that the difference in the total mass of atoms or molecules, on the two sides of the chemical reaction gets converted into energy or vice-versa However, the mass defects involved in a chemical reaction are almost a million times smaller than those in a nuclear reaction This is the reason for the general impression, (which is incorrect) that mass-energy interconversion does not take place in a chemical reaction
9
3017-3020
Since, strictly speaking, chemical binding energy also gives a negative contribution (mass defect) to the total mass of an atom or molecule, we can equally well say that the difference in the total mass of atoms or molecules, on the two sides of the chemical reaction gets converted into energy or vice-versa However, the mass defects involved in a chemical reaction are almost a million times smaller than those in a nuclear reaction This is the reason for the general impression, (which is incorrect) that mass-energy interconversion does not take place in a chemical reaction SUMMARY 1
9
3018-3021
However, the mass defects involved in a chemical reaction are almost a million times smaller than those in a nuclear reaction This is the reason for the general impression, (which is incorrect) that mass-energy interconversion does not take place in a chemical reaction SUMMARY 1 An atom has a nucleus
9
3019-3022
This is the reason for the general impression, (which is incorrect) that mass-energy interconversion does not take place in a chemical reaction SUMMARY 1 An atom has a nucleus The nucleus is positively charged
9
3020-3023
SUMMARY 1 An atom has a nucleus The nucleus is positively charged The radius of the nucleus is smaller than the radius of an atom by a factor of 104
9
3021-3024
An atom has a nucleus The nucleus is positively charged The radius of the nucleus is smaller than the radius of an atom by a factor of 104 More than 99
9
3022-3025
The nucleus is positively charged The radius of the nucleus is smaller than the radius of an atom by a factor of 104 More than 99 9% mass of the atom is concentrated in the nucleus
9
3023-3026
The radius of the nucleus is smaller than the radius of an atom by a factor of 104 More than 99 9% mass of the atom is concentrated in the nucleus 2
9
3024-3027
More than 99 9% mass of the atom is concentrated in the nucleus 2 On the atomic scale, mass is measured in atomic mass units (u)
9
3025-3028
9% mass of the atom is concentrated in the nucleus 2 On the atomic scale, mass is measured in atomic mass units (u) By definition, 1 atomic mass unit (1u) is 1/12th mass of one atom of 12C; 1u = 1
9
3026-3029
2 On the atomic scale, mass is measured in atomic mass units (u) By definition, 1 atomic mass unit (1u) is 1/12th mass of one atom of 12C; 1u = 1 660563 × 10–27 kg
9
3027-3030
On the atomic scale, mass is measured in atomic mass units (u) By definition, 1 atomic mass unit (1u) is 1/12th mass of one atom of 12C; 1u = 1 660563 × 10–27 kg 3
9
3028-3031
By definition, 1 atomic mass unit (1u) is 1/12th mass of one atom of 12C; 1u = 1 660563 × 10–27 kg 3 A nucleus contains a neutral particle called neutron
9
3029-3032
660563 × 10–27 kg 3 A nucleus contains a neutral particle called neutron Its mass is almost the same as that of proton 4
9
3030-3033
3 A nucleus contains a neutral particle called neutron Its mass is almost the same as that of proton 4 The atomic number Z is the number of protons in the atomic nucleus of an element
9
3031-3034
A nucleus contains a neutral particle called neutron Its mass is almost the same as that of proton 4 The atomic number Z is the number of protons in the atomic nucleus of an element The mass number A is the total number of protons and neutrons in the atomic nucleus; A = Z+N; Here N denotes the number of neutrons in the nucleus
9
3032-3035
Its mass is almost the same as that of proton 4 The atomic number Z is the number of protons in the atomic nucleus of an element The mass number A is the total number of protons and neutrons in the atomic nucleus; A = Z+N; Here N denotes the number of neutrons in the nucleus A nuclear species or a nuclide is represented as ZAX , where X is the chemical symbol of the species
9
3033-3036
The atomic number Z is the number of protons in the atomic nucleus of an element The mass number A is the total number of protons and neutrons in the atomic nucleus; A = Z+N; Here N denotes the number of neutrons in the nucleus A nuclear species or a nuclide is represented as ZAX , where X is the chemical symbol of the species Nuclides with the same atomic number Z, but different neutron number N are called isotopes
9
3034-3037
The mass number A is the total number of protons and neutrons in the atomic nucleus; A = Z+N; Here N denotes the number of neutrons in the nucleus A nuclear species or a nuclide is represented as ZAX , where X is the chemical symbol of the species Nuclides with the same atomic number Z, but different neutron number N are called isotopes Nuclides with the same A are isobars and those with the same N are isotones
9
3035-3038
A nuclear species or a nuclide is represented as ZAX , where X is the chemical symbol of the species Nuclides with the same atomic number Z, but different neutron number N are called isotopes Nuclides with the same A are isobars and those with the same N are isotones Most elements are mixtures of two or more isotopes
9
3036-3039
Nuclides with the same atomic number Z, but different neutron number N are called isotopes Nuclides with the same A are isobars and those with the same N are isotones Most elements are mixtures of two or more isotopes The atomic mass of an element is a weighted average of the masses of its isotopes and calculated in accordance to the relative abundances of the isotopes
9
3037-3040
Nuclides with the same A are isobars and those with the same N are isotones Most elements are mixtures of two or more isotopes The atomic mass of an element is a weighted average of the masses of its isotopes and calculated in accordance to the relative abundances of the isotopes 5
9
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Most elements are mixtures of two or more isotopes The atomic mass of an element is a weighted average of the masses of its isotopes and calculated in accordance to the relative abundances of the isotopes 5 A nucleus can be considered to be spherical in shape and assigned a radius