at what temperature, the celsius and fahrenheit scales will read the same ?
the formulas for converting between degree celsius and degree fahrenheit are: °f = (°c * 9/5) + 32 °c = (°f - 32) * 5/9 to find the temperature when both are equal, we use an old algebra trick and just set of = oc and solve one of the equations. °c = (°c * 9/5) + 32 °c - (°c * 9/5) = 32 - 4/5 * °c = 32 °c = - 32 * 5/4 °c = - 40 °f = (°f * 9/5) + 32 °f - (°f * 9/5) = 32 - 4/5 * °f = 32 °f = - 32 * 5/4 °f = - 40 so the temperature when both the celsius and fahrenheit scales are the same is - 40 degrees.
we’re being asked to convert the given temperature from celsius to fahrenheit and kelvin. recall that the conversion from celsius to fahrenheit is given by:°f=1.8(°c)+32[readmore]converting 54 °c  to fahrenheit:°f=1.8(°c)+32°f=1.8(54)+32 of = 129.2 ofrecall that the conversion from celsius to kelvin is given by:k=°c+273.15converting 54 ˚c to kelvin:k=54°c+273.15k = 327.15 k54 °c is equivalent to 129.2 of and 327.15 k yes, with fever, your temperature could rise above 99 degrees f. hi carla! how lucky are you and your three kids to be spending the holidays in the most magical place! unfortunately, i think you'll find it much cooler than your tropical island. the average low temperature is 52 degrees, and the high is 73. but don't fret - these temperatures are most enjoyable if you dress for it! i recommend layers. capris, tee shirts, and the a hoody and windbreaker should be fine. as the sun warms it up in the afternoon, then you can peel off a layer or two. wishing you a magical vacation carla! heat lost by the vessel and water= [150 x 4.2 x (30 - 5) j + 100 x 0.4 x (30-5)] j = (150 x 4.2 x 25 + 100 x 0.4 x 25) j = (15,750 + 1000) j= 16,750 j heat gained by ice to change into water at 0 °c = m x specific latent heat of fusion of ice = {m x 336} heat gained by water to come to final temperature (5 °c) = m x specific heat capacity of water x final temperature = (m x 4.2 x 5) = 21m if there is no loss of heat to the surroundings, according to the principle of calorimetry: heat gained by ice to melt and come to final temperature = heat lost by vessel and water or 336m + 21m= 16,750 or 357m = 16,750 or m = 16750/357 = 46.92 let's be clear, here: luminosity, "lumen output", "light output", or whatever you want to call the light intensity of a bulb is not a direct function of filament temperature. that's a gross ignorance and nothing more.
incandescents are rated by the power they use and nothing else. the color temperature is a function of the filament and the power applied. most filaments are tungsten so the filament can never heat above 3,700 kelvin, the melting point of tungsten.

so, most filaments are limited to 2,000 to 3,300 kelvin. this is the resulting color temperature and why some lights are whiter and some are more yellow., the latter tending to last longer since they are cooler or "warm" light.
in other words, a 100 watt bulb and a 40 watt bulb operate at the same filament temperature if they are both the same type of bulb, but the 100 watt bulb produces more of it. the "light output" , is not a function of filament temperature as veeyesvee and tony rb asserted.
so, a 60 watt bulb, tony, better produce more lumens than a 25 watt bulb, or what's the point of the other 35 watts? can someone design a really ineffecient transducer? sure... a toaster makes a terrible light source considering the power it consumes.
the real answer lies in the fact that the filament is not a linear resistance ( see below).

the hotter the bulb gets, the more efficient it becomes in producing light and a 60 watt bulb is about 14.2 lumens per watt where a 25 watt bulb is 8 lumens/watt.

the amount of light produced by a bulb depends on the ratings vs applied. since all you can vary is the voltage:
raise the voltage ratio to the 3.5 power to get equivalent luminosity.
life would be the -12th power of the voltage ratio.
and current is the .55 power of the voltage ratio.

(v2/v1)^3.5 = .235 (since 200lm/850lm = .235) 
(v2/v1)^3.5 = .235 ==> v2 = 120 * .661 = 79.34 volts

(v2/v1)^.55 = i2/.5 (60/120 = .5) ==> i2 = .398 a

79.34 x .398 = 31.6 w
or v2/v1 * (v2/v1) ^.55 = .52 power ratio and 60 * .52 = 31.6 w

so, the 60 watt bulb would need 32 watts of power to generate 200 lumen. your cubic meter box contains about 1.2 kg of air. the specific heat of air is about 1 kilojoule per kilogram per degree centigrade.

so 1.2 kilojoules per degree centigrade. to get from 20c to 1000c you need 980 * 1.2 = 1176 kilojoules = 327 watt-hours. you can get 1440 watts from a us 15a hous… the sun fuses hydrogen to helium in an atomic reaction similar to a hydrogen bomb, this reaction gives off energy and hence provides us with a lot radiant energy, most astronomers believe that the sun has been “turned on” for about 4.5 billion years. 

as the sun gets older, it will continue to fuse hydrogen in its core, scientists estimate that there is enough hydrogen fuel to continue this process for another 4 billion years or so, then the fun starts….

once the majority of the sun’s hydrogen is turned into helium, it stops fusing hydrogen and loses its ability to combat gravity, the sun will begin to compress under its own weight. the higher pressures and temperatures at the sun’s core will cause helium to begin to fuse into carbon in a similar process to the hydrogen fusion, this too balances out the gravity and the sun will continue to shine, but the process of fusing helium gives off more energy than the fusing of hydrogen. this additional energy streaming out of the core radiates through the “envelope”, the layers outside the core. this very high energy into the envelope heats up the envelope causing the envelope expand greatly to hundreds of times its original size. 

the part that can be seen (the envelope) is much cooler than the young sun was and it is red in color, the sun has become a red giant star. 

even though the red envelope is cooler than the young sun it is still very hot, about 5000° fahrenheit! unfortunately, for any life on planets in the inner solar system, the red giant sun's envelope will expand to engulf all the way out past earth and mars. all the oceans will be evaporated away and in fact the earth's atmosphere will be blown into space. the engulfed planets will, obivously, be uninhabitable. Tungsten, also known as wolfram, is a hard, rare metal that is found naturally only in chemical compounds. The free element is remarkable for its robustness, especially the fact that it has the highest melting point of all the elements.  
Tungsten in pure form has the highest melting point (3422 °C, 6192 °F), lowest vapor pressure (at temperatures above 1650 °C, 3000 °F) and the highest tensile strength. Tungsten has the lowest coefficient of thermal expansion of any pure metal. The low thermal expansion and high melting point and tensile strength of tungsten originate from strong covalent bonds formed between tungsten atoms by the 5d electrons. Alloying small quantities of tungsten with steel greatly increases its toughness. answer: `1.00` the relationship of wavelength and frequency will appear as:using the wavelength range given, 280-320 nm, frequency range will be calculated using the equation above and by converting the values to the proper units [readmore]each wavelength must be in meters:we need to calculate the frequency for both 280 and 320 nm:range of frequency will appear as 1.07x1015 to 9.38x1014 s-1