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Question

# A 0.5 dm3 flask contains gas A and a 1 dm3 flask contains gas B at the same temperature. If the density of A=3 g.dm−3, that of B=1.5 g.dm−3 and the molar mass of A=12 B, the ratio of pressures exerted by the gases is:

A
PAPB=2
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B
PAPB=1
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C
PAPB=4
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D
PAPB=3
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Solution

## The correct option is C PAPB=4Pressure=ρRTM where, ρ is the density of the gas. Given, Density of the gas A, ρA=3 g.dm−3 Density of the gas B, ρB=1.5 g.dm−3 molar mass of A=12×molar mass of B Hence, PA=3RTMA;PB=1.5RTMB PAPB=2MBMA=2×2MAMA=4

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