1.

A closed vessel contains a mixture of two diatomic gases A and B.Molar massof A is 16 timesthat of Band mass of gas A. contained in the vessel is 2 times that of B . Then

Answer»

AVERAGE kinetic energy per molecule of gas A is equal to that of gas B.
root mean square value of translational velocity of gas B is fourtimesthat of A.
root mean square value of translational VELOCITYOF gas B is fourtimesthat of A.
number of molecules of gas Bin the CYLINDER is eight times that of gas A.

Solution :Average KE per molecule = ` 5/2 kT `
Itdependsonlyon temperature.
` v_(rmsA) = sqrt((3RT)/(M_(A)))`
` v_(rms B) = sqrt((3RT)/(M_(B)) = sqrt((3RT)/(M_(A)//16)) = 4 v_(rms)A `
` n_(A) = m_(A)/(M_(A) ,n_(B) = m_(B)/(M_(B) = (M_(A)//2)/((M_(A)//16)) = 8 NA `
` P_(B) = ( n_(B)/(n_(A) + n_(B))) P_(0) , P_(A)= ( n_(A)/(n_(A)+ n_(B))) P_(0)`
` RightarrowP_(B) = 8 P_(A)`


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