Question

An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas is

• A. $3/8$
• B. $3/5$
• C. $3/4$
• D. $2/5$

Answer 1

Answer: (B)

$3/5$

Fraction $=\frac{\Delta U}{\Delta Q}=\frac{C_v}{C_p}$
for monoatomic gas $\frac{C_p}{C_v}=\gamma =\frac{5}{3}$
So, $\frac{C_v}{C_p}=\frac{1}{\gamma }=\frac{3}{5}$