Question
The temperature of an ideal gas is increased from 200 K to 800 K . If r.m.s. speed of gas at 200 K is v_0. Then, r.m.s. speed of the gas at 800 K will be:
BITSAT
Physics
Kinetic Theory of Gases
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Physics Question (2024) — Solution
Options
- A. v _0
- B. 4 v_0
- C. v_0 4
- D. 2 v _0
Answer
D. 2 v _0
Step-by-step solution
RMS speed, V _ rms = 3 RT M V _ mm T Here, T _ initiol =200 ~K T _ fing1 =800 ~K Initial RMS speed = v _0 v_0 v_ rms = 200 800 v_ ms =2 v_0
Related: Physics — Kinetic Theory of Gases · All PYQ Banks