Question
A monoatomic gas of molar mass m is kept in a insulated container. Container is moving with velocity v. If the container is suddenly stopped, then the change in the temperature of the gas is
BITSAT
Physics
Kinetic Theory of Gases
2022
BITSAT 2022
BITSAT Physics Question (2022) — Solution
Options
- A. m v^2 / 4 R
- B. m v^2 / 2 R
- C. m v^2 / R
- D. m v^2 / 3 R
Answer
D. m v^2 / 3 R
Step-by-step solution
Let the insulated container has n moles of the monoatomic gas. The loss of kinetic energy of the gas, E_K= 1 2 (m n) v^2 If the change in temperature of the gas is T, then heat gained by the gas is, Q= 3 2 n R T Now, according to question, aligned Q & = E_K \\ 3 2 n R T & = 1 2 m n v^2 \\ T & = m v^2 3 R aligned
Related: Physics — Kinetic Theory of Gases · All PYQ Banks