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Specific Heat capacity and Molar specific Heat capacity

Chaitanya asked:

“how to calculate molar the heat capacity of a gas
given cp and cv of the gas?”

 

Answer:

Specific heat capacity of a substance is the quantity of heat required to raise the temperature of 1g of that substance through 1oC. It can be measured at constant pressure (Cp) and at constant volume (Cv).

Molar heat capacity of a substance is the quantity of heat required to raise the temperature of 1 mole of the substance by 1oC.

Molar heat capacity = Specific heat capacity × Molecular weight,

i.e.,

Cv = cv × M and Cp = cp × M.

 

A Problem from Specific Heat of Gases

Priyanshi Gaur posted”:

“A sample of air weighing 1.18g occupies 1000 cubic cm when kept at 300 K at 1000000 Pa.When 2 cal of heat is added to it at constant volume, its temperature increases by 1 degree celcius.Calculate the amount of heat needed to increase the temperature of air by 1 degree celcius at constant pressure if the mechanical equivalent of heat is 4.2*10000000 erg/cal.”

Hints:

Remember that

Cp/Cv = γ

Cp-Cv=R

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