Cv is given by

(\frac{\partial E}{\partial T})_{V}

Answer

(\frac{\partial E}{\partial V})_{T}

(\frac{\partial E}{\partial P})_{V}

(\frac{\partial V}{\partial T})_{P}

Answer: Option A

Answer: Option A

Solution:

Definition of

C_{V}

: when we add the heat to a system which is undergoing only expansion work or

P d V

work at constant volume than the amount of heat required to raise the temperature by an infinitesimal amount is called as

C_{V}

C_{V} = δ T \to 0 lim \frac{\partial Q}{\partial T}

By first law of thermodynamics:

δ Q = d U + δ W (P d V)

Since here

d V = 0

δ Q = d U

So,

C_{V} = (\frac{d U}{d T})_{V} .

Where

U =

internal energy.