Question

Which statement is correct?

• A. $\left(\frac{d H}{d T}\right)_{P}<\left(\frac{d E}{d T}\right)_{V}$
• B. $\left(\frac{ dH }{ dT }\right)_{ P }+\left(\frac{ dE }{ dT }\right)_{ V }= R$
• C. $\left(\frac{ dE }{ dV }\right)_{ T }$ for ideal gas is zero
• D. All of these

Answer 1

Answer: (C)

For an ideal gas,
$dU$ or $dE =0$ when $T$ is constant
$\therefore \left(\frac{ dU }{ dV }\right)_{ T }$
i.e., $\frac{ dU }{ dV }$ at constant volume is 0 .