Which of the following expressions is true fo | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For an ideal gas,the internal energy $U$ is a function of temperature only,i.e.,$U = f(T)$.Therefore,the change in internal energy with respect to

Vedclass · Accepted Answer

$\left( \frac{\partial U}{\partial V} \right)_T = 0$

Vedclass · Answer

(C) For an ideal gas,the internal energy $U$ is a function of temperature only,i.e.,$U = f(T)$.Therefore,the change in internal energy with respect to volume at constant temperature is zero:$\left( \frac{\partial U}{\partial V} ight)_T = 0$.Let us evaluate the other options:$1$. From the ideal gas equation $PV = nRT$,we have $\left( \frac{\partial V}{\partial T} ight)_P = \frac{nR}{P} 
eq 0$.$2$. From the ideal gas equation $PV = nRT$,we have $\left( \frac{\partial P}{\partial T} ight)_V = \frac{nR}{V} 
eq 0$.$3$. $\left( \frac{\partial U}{\partial T} ight)_V = C_V 
eq 0$ (for a non-zero heat capacity).Thus,the correct expression is $\left( \frac{\partial U}{\partial V} ight)_T = 0$.

Which of the following expressions is true for an ideal gas?

Similar Questions

Which among the following is $NOT$ an intensive property?

In thermodynamics,the $P-V$ work done is given by $w = -\int P_{ext} dV$. For a system undergoing a particular process,the work done is $w = -\int \left(\frac{RT}{V - b} - \frac{a}{V^2}\right) dV$. This equation is applicable to a:

Energy can be transferred from a system to the surroundings as work if $.....$

Which of the following is correct regarding the internal energy of a substance?

For the reaction $H_{2}F_{2(g)} \rightarrow H_{2(g)} + F_{2(g)}$,$\Delta U = -59.6 \ kJ \ mol^{-1}$ at $27^{\circ} C$. The enthalpy change for the above reaction is $(-)$ $kJ \ mol^{-1}$ [nearest integer]. Given: $R = 8.314 \ J \ K^{-1} \ mol^{-1}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module