Question

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

Answer 1

Answer:

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 :

$4.18 J/g ^oC\times 18 g/mol= 75.24 J /mol^oC$

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

Answer 2

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