The density of a gas is found to be 1.5kg/m³at 273k at a pressure of 1 bar .What is the molar mass of the gas?
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Question

Density of a gas is found to be 5.46 g/dm3 at 27∘C and 2 bar pressure. What will be its density at STP?
A
3.0 g dm−3
B
5.0 g dm−3
C
6.0 g dm−3
D
10.82 g dm−3
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Solution

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Correct option is
A
3.0 g dm−3
P=VnRT=Vm×MRT=MdRT
or d=RTPM or d∝TP
d2d1=P2P
Answered by
0
Answer:
Pressure is p=745mm=0.98atm (1 atm = 760 mm Hg)
Temperature is T=65
0
C=65+273=338K
density is d=1.56g/L
P=
M
dRT
where M is molecular wt.
⟹M=
P
dRT
⟹M=
0.98
1.56×338×0.0821
=44.2u
Hence, the molecular mass of the gas is 44.2u.
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