The ratio of specific heats ((CP/CV)) in terms of degree of freedom (f) is given by:

Question

The ratio of specific heats ((CP/CV)) in terms of degree of freedom (f) is given by: (A) (1+( f /3)) (B) (1+(2/ f )) (C) (1+( f /2)) (D) (1+(1/f))

Tardigrade Admin · Accepted Answer

Molar heat capacity at constant volume C V =(f R /2) where f is degree of freedom. Molar heat capacity at constant pressure can be written as C P = R + C V = R +( fR /2)=(1+( f /2)) R So (CP/Cv)=1+(2/f)

Q. The ratio of specific heats $(\frac{C _{P}}{C _{V}})$ in terms of degree of freedom $(f)$ is given by:

$(1 + \frac{f}{3})$

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

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

$(1 + \frac{1}{f})$

Molar heat capacity at constant volume $C_{V} = \frac{f R}{2}$
where $f$ is degree of freedom.
Molar heat capacity at constant pressure can be written as
$C_{P} = R + C_{V} = R + \frac{f R}{2} = (1 + \frac{f}{2}) R$
So $\frac{C _{P}}{C _{v}} = 1 + \frac{2}{f}$

Q. The ratio of specific heats (CV​CP​​) in terms of degree of freedom (f) is given by:

(1+3f​)

(1+f2​)

(1+2f​)

(1+f1​)