When a monoatomic gas is heated at constant p | vedclass

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

Question

(B) For a monoatomic gas,the molar heat capacity at constant volume is $C_V = \frac{3}{2}R$ and at constant pressure is $C_P = \frac{5}{2}R$.When heat

Vedclass · Accepted Answer

$3/5$

Vedclass · Answer

(B) For a monoatomic gas,the molar heat capacity at constant volume is $C_V = \frac{3}{2}R$ and at constant pressure is $C_P = \frac{5}{2}R$.When heat $\Delta Q$ is supplied at constant pressure,the total heat energy is given by $\Delta Q = \mu C_P \Delta T$.The change in internal energy is given by $\Delta U = \mu C_V \Delta T$.The fraction of heat energy used to increase internal energy is $\frac{\Delta U}{\Delta Q} = \frac{\mu C_V \Delta T}{\mu C_P \Delta T} = \frac{C_V}{C_P}$.Substituting the values,we get $\frac{\Delta U}{\Delta Q} = \frac{3/2 R}{5/2 R} = \frac{3}{5}$.

List-$I$	List-$II$
$A$. Triatomic rigid gas	$I$. $\frac{C_P}{C_V} = \frac{5}{3}$
$B$. Diatomic non-rigid gas	$II$. $\frac{C_P}{C_V} = \frac{7}{5}$
$C$. Monoatomic gas	$III$. $\frac{C_P}{C_V} = \frac{4}{3}$
$D$. Diatomic rigid gas	$IV$. $\frac{C_P}{C_V} = \frac{9}{7}$

When a monoatomic gas is heated at constant pressure,what fraction of the heat energy supplied is used to increase the internal energy?

Similar Questions

The difference between the two specific heats of $1\, g$ of helium gas at $NTP$ is .... $cal\, g^{-1} K^{-1}$. (Atomic weight of helium $= 4$ and $J = 4.186 \times 10^7\, erg\, cal^{-1}$)

The following sets of values for ${C_V}$ and ${C_P}$ of a gas have been reported by different students. The units are $cal/gm-mole-K$. Which of these sets is most reliable?

What will be the molar specific heat at constant volume of an ideal gas consisting of rigid diatomic molecules?

What is molar specific heat? Write its unit and also definitions of molar specific heat at constant pressure and constant volume.

Vedclass Test Series

Exam Paper Generator

Online Exam Module