Q.

The density of a gas is 1.964 g dm3 at 273 K and 76 cm Hg. The gas is

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a

CH4

b

C2H6

c

CO2

d

Xe

answer is C.

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Detailed Solution

From ideal gas equation, PV =nRTor,  PV=wMRT  or  M=wV⋅RTP=dRTPd=1.964g/dm3=1.964×10−3g/ccP=76cm=1atmR=0.0821lit.atmK−1mol−1=82.1ccatmK−1mol−1T=273K∴ M=1.964×10−3×82.1×2731=44The molecular weight of CO2 is 44.
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The density of a gas is 1.964 g dm3 at 273 K and 76 cm Hg. The gas is