Question

The ratio of specific heats

$(\frac{c_p}{c_v})$

in terms of degree of freedom (f) is given by:

• A. $(1+\frac{f}{3})$
• B. $(1+\frac{2}{f})$
• C. $(1+\frac{f}{2})$
• D. $(1+\frac{1}{f})$

Answer 1

Answer: (A)

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

Answer 2

The correct option is(B): $(1+\frac{1}{f})$.

$\frac{c_p}{c_v}=γ$

$c_v=(\frac{f}{2})R$

and

$C_p-C_v=R$

$⇒\frac{c_p}{c}=\frac{1+\frac{f}{2}}{\frac{f}{2}}$

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