# The specific heat of water is 4.18 J/(g⋅∘ c. Calculate the molar heat capacity of water.

## Question

The specific heat of water is 4.18 J/(g⋅∘
c. Calculate the molar heat capacity of water.

## Answer #1

We are given that the specific heat of water is 4.18 J / g °C. We know that the molar mass of water is 18.02 g/mol, therefore the molar heat capacity is:

molar heat capacity = (4.18 J / g °C) * 18.02 g / mol

molar heat capacity = 75.32 J / mol °C

## Answer #2

The molar heat capacity of water 75.24 J/mol °C.

Explanation:

Specific heat is defined as amount of energy required to raise by the temperature of 1 g of substance by 1 degree Celsius.

Molar eat capacity as amount of energy required to raise by the temperature of 1 mole of substance by 1 degree Celsius.

Specific heat and molar heat capacities can be written:

Molar heat capacity = Specific heat × Molar mass of the substance

Specific heat of water = 4.18 J/g °C

Molar mass of water = 18 g/mol

Molar heat capacity of the water :

The molar heat capacity of water 75.24 J/mol °C.

Thank you to both Isla and Burnuts for these great answers to this Chemistry question.

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