The ratio of specific heats left(frac{C_{P}}{ | vedclass

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

Question

(B) The molar heat capacity at constant volume is given by $C_{V} = \frac{fR}{2}$,where $f$ is the degree of freedom and $R$ is the universal gas cons

Vedclass · Accepted Answer

$1+\frac{2}{f}$

Vedclass · Answer

(B) The molar heat capacity at constant volume is given by $C_{V} = \frac{fR}{2}$,where $f$ is the degree of freedom and $R$ is the universal gas constant.The molar heat capacity at constant pressure is given by Mayer's relation: $C_{P} = C_{V} + R$.Substituting the value of $C_{V}$,we get $C_{P} = \frac{fR}{2} + R = R\left(1 + \frac{f}{2}\right) = R\left(\frac{f+2}{2}\right)$.The ratio of specific heats $\gamma = \frac{C_{P}}{C_{V}}$ is calculated as:$\gamma = \frac{R\left(\frac{f+2}{2}\right)}{\frac{fR}{2}} = \frac{f+2}{f} = 1 + \frac{2}{f}$.

The ratio of specific heats $\left(\frac{C_{P}}{C_{V}}\right)$ in terms of degree of freedom $(f)$ is given by

Similar Questions

One mole of an ideal monoatomic gas is heated at a constant pressure from $0^{\circ} C$ to $100^{\circ} C$. The change in the internal energy of the gas is (Given, $R = 8.32 \text{ J mol}^{-1} \text{ K}^{-1}$):

When an ideal diatomic gas is heated at constant pressure,the fraction of the heat energy supplied which increases the internal energy of the gas is:

For an ideal gas of diatomic molecules,which of the following relations is correct?

For a diatomic gas,write the value of the ratio of $C_P$ and $C_V$.

The ratio of the molar specific heat capacities of monatomic and diatomic gases at constant pressure is (in $: 7$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module