Home Physics Kinetic Theory of Gases All Topic Question for Revision Test An ideal gas is expanded adiabatically. How…
Physics Kinetic Theory of Gases All Topic Question for Revision Test MCQ (Single Correct)

An ideal gas is expanded adiabatically. How many times the gas has to be expanded to reduce the root mean square velocity of the molecules 2.0 times?

A
4 times
B
16 times
C
8 times
D
2 times

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The correct answer is:
B

As, root mean square speed of gas molecule is or

is to reduce two times, i.e. the temperature of the gas will have to reduce four times or

During adiabatic process,

or

Hence, gas has to be expanded to 16 times.

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