STANDARDPhysics-Kinetic Theory of Gases
STANDARD Physics Root Mean Square Speed MCQ Question
Type: MCQ-numerical-Medium-Class 11
The temperature of a gas is −50°C. To what temperature the gas should be heated so that the rms speed is increased by 3 times?
A
3295°C
B
3097 K
C
223 K
D
669°C
Correct Answer
Option A
Detailed Explanation
The rms speed is proportional to the square root of temperature. If the speed increases by 3 times, the temperature must increase by 9 times. Calculating the new temperature gives 3568 K, which is 3295°C.
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