A monoatomic gas is expanded adiabatically to n times its initial volume. The ratio of final rate of collision of molecules with unit area of container walls to the initial rate will be
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a
n−43
b
n43
c
n23
d
n−53
answer is D.
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Detailed Solution
The rate of collision of molecules with unit area of walls of container is proportional to pressure.Now, P1V1γ = P2V2γ ⇒P2P1=V1V2γ For mono atomic gas γ=1+23=53∴P2P1=V1nV153=n−53