Q.

Number of degrees of freedom of a gas A are higher compared to that of gas B at  the same temperature. It means

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a

It is relatively more difficult to compress the gas B adiabatically

b

At a given temperature, RMS velocity of gas A is more

c

If gases are mixed, then number of degrees of freedom of mixture is equal to  sum of number of degrees of freedom of the two gases

d

Dalton’s law of partial pressure may only be applicable for gas A

answer is A.

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Detailed Solution

In adiabatic process,  PVγ=constantBut  γ=1+2f.As f is high,  γ is low.Adiabatic Bulk modulus (which gives measure of elasticity of gas in adiabatic  process) =  BADIA=γP.If  γ is low, BADIA also low. It is easier to compress the gas A. Option (A) is correct.RMS velocity only depends on temperature and molar mass. Option (B) is wrong.fMIXTURE=f1n1+f2n2n1+n2. Option (C) is wrong.Dalton’s law is true for all gases. Option (D) is wrong.
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