Which one of the following is NOT a correct e | vedclass

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

Question

(A) For an ideal gas,the relationship between molar specific heats at constant pressure $(C_{P})$ and constant volume $(C_{V})$ is given by Mayer's re

Vedclass · Accepted Answer

$C_{V}=C_{P}+R$

Vedclass · Answer

(A) For an ideal gas,the relationship between molar specific heats at constant pressure $(C_{P})$ and constant volume $(C_{V})$ is given by Mayer's relation: $C_{P} - C_{V} = R$.From this,we can write $C_{P} = C_{V} + R$. Therefore,the expression $C_{V} = C_{P} + R$ given in option $(A)$ is incorrect.Let us verify the other options:$(B)$ $R = C_{P} - C_{V}$. Since $\gamma = \frac{C_{P}}{C_{V}}$,we have $C_{P} = \gamma C_{V}$. Substituting this,$R = \gamma C_{V} - C_{V} = C_{V}(\gamma - 1)$. This is correct.$(C)$ $\frac{C_{V}}{C_{P}} = \frac{1}{\gamma}$. Since $\gamma = \frac{C_{P}}{C_{V}}$,this is correct.$(D)$ $R = C_{P} - C_{V} = C_{P} - \frac{C_{P}}{\gamma} = C_{P}(1 - \frac{1}{\gamma}) = C_{P}(\frac{\gamma - 1}{\gamma})$. This is correct.

Which one of the following is $NOT$ a correct expression for an ideal gas?
[$C_{P}=$ Molar specific heat of a gas at constant pressure,
$C_{V}=$ Molar specific heat of a gas at constant volume,
$\gamma=$ Ratio of two specific heats of a gas,$R=$ Universal gas constant]

Similar Questions

The amount of heat that must be supplied to $35 \ g$ of oxygen at room temperature to raise its temperature by $80^{\circ} C$ at constant volume is (molecular mass of oxygen is $32$ and $R = 8.3 \ J \ mol^{-1} \ K^{-1}$) (in $kJ$)

The ratio of the adiabatic to isothermal elasticities of a triatomic gas is

When heat is supplied to a diatomic gas,it expands at constant pressure. What fraction of the heat supplied is converted into internal energy?

For a gas if $\gamma = 1.4$,then atomicity,${C_p}$ and ${C_v}$ of the gas are respectively

If the ratio of specific heat of a gas at constant pressure to that at constant volume is $\gamma$,the change in internal energy of a mass of gas,when the volume changes from $V$ to $2V$ at constant pressure $p$,is

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Which one of the following is $NOT$ a correct expression for an ideal gas?[$C_{P}=$ Molar specific heat of a gas at constant pressure,$C_{V}=$ Molar specific heat of a gas at constant volume,$\gamma=$ Ratio of two specific heats of a gas,$R=$ Universal gas constant]