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Two vessels separately contain two ideal...

Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. the rato of molecular weight of A and B is

A

`(1)/(2)`

B

`(2)/(3)`

C

`(3)/(4)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C

`P_(A)=2P_(B)`
`rho_(A)=1.5rhoa`
`(M_(A))/(M_(B))=?`
`because(P)/(rho)=(RT)/(M_(0))impliesM_(0)=(rhoRT)/(P)`
`R,T=`const.
`M_(0)prop(rho)/(P)`
`implies(M_(A))/(M_(B))=(rho_(A))/(rho_(B))xx(P_(B))/(P_(A))`
`=1.5xx(1)/(2)`
`=0.75=3//4`
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