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Questions  

The Physical state of a gas is represented by P, V and T in Vessel A and 2P,V42T in vessel B. The ratio of number of molecules in A and B is

a
4 : 1
b
2 : 1
c
1 : 4
d
1 : 1

detailed solution

Correct option is A

P1=P;                        P2=2P; V1=V;                       V2=V/4 T1=T;                        T2=2TWe Know that,PV=μRT P1V1=μART1..........(1) P2V2=μBRT2...........(2)Taking ratio of Eq. (1) and Eq (2), we get,P1V1P2V2=μART1μBRT2 PV2P(V/4)=μART μBR(2T) 2=μA2μB μAμB=41⇒μA=μB=4:1

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