Q. For a gas, the difference between the two principle specific heats is 4150 $Jkg^{- 1}K^{- 1}$ . What is the specific heat of the gas at constant volume if the ratio of specific heat is 1.4?
A) $5186\ Jkg^{- 1}K^{- 1}$
B) $10375\ Jkg^{- 1}K^{- 1}$
C) $1660\ Jkg^{- 1}K^{- 1}$
D) $8475\ Jkg^{- 1}K^{- 1}$
Explanation
(b) $C_{p} - C_{v} = 4150$
$\frac{C_{p}}{C_{v}} = 1.4,\ C_{p} = 1.4\ C_{v}$
$\therefore 1.4\ C_{v} - C_{v} = 4150$
$C_{v} = 4150/0.4 = 10375\ J\ kg\ K^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.