Question

Two cylinders contain same amount of ideal monatomic gas. Same amount of heat is given to two cylinders. If temperature rise in cylinder $A$ is $T_{0}$ then temperature rise in cylinder $B$ will be

• A. $\frac{4}{3} T_{0}$
• B. $2 T_{0}$
• C. $\frac{T_{0}}{2}$
• D. $\frac{5}{3} T_{0}$

Answer 1

Answer: (D)

Cylinder $A$
Free piston i.e., at
constant pressure
Cylinder $B$
Fixed piston i.e., at
constant volume
$\Delta Q=\Delta U$
$n C_{P} \Delta T=n C_{V} \Delta T'$
$C_{P} T_{0}=C_{V}(\Delta T)'$
$\Delta T'=\frac{C_{P}}{C_{V}} T_{0}$
$=\gamma T_{0}=\frac{5}{3} T_{0}$