Question
One mole of an ideal diatomic gas undergoes a process as shown in the figure. The molar specific heat of the gas in the process is
BITSAT
Physics
Kinetic Theory of Gases
2022
BITSAT 2022
BITSAT Physics Question (2022) — Solution
Options
- A. 3 R / 2
- B. R / 2
- C. 5 R / 2
- D. 7 R / 2
Answer
A. 3 R / 2
Step-by-step solution
In the curve, V 1 T aligned & V=m 1 T where, m= slope of curve. \\ & V T= constant \\ & T d V+V d T=0 \\ & d V=- V T d T \\ & As, Q= U+W \\ & C d T=C_V d T+p d V \\ & C d T=C_V d T- p T V d T \\ & C=C_V- p V T \\ & =C_V-R ( p V T =R ) \\ & aligned For diatomic gas, C_V= 5 2 R C=C_V-R= 5 2 R-R= 3 R 2
Related: Physics — Kinetic Theory of Gases · All PYQ Banks