Question

The molar heat capacity at constant pressure is ----

a) The rate of change of internal energy with volume at constant pressure
b) The rate of change in enthalpy with volume at constant pressure
c) The rate of change of internal energy with temperature at constant pressure
d) The rate of change in enthalpy with temperature at constant pressure
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Answer 1

Answer:

HEAT CAPACITY AT CONSTANT VOLUME - DEFINITION

According to the first law of thermodynamics, we know that

δq=dU+PdV

C=dTdU+PdV

When the volume is kept constant dV=0 so the equation becomes

Cv=(δTδU)v∗

Cv=dTdU

Heat capacity at constant volume may be defined as the rate of change of internal energy with temperature at constant volume.