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Question

A mixture of 4 g of hydrogen and 8 g of helium at pressure P=1.01×105 Pa and temperature T=273 K has a density of about


Your Answer
A
0.22 kg/m3
Your Answer
B
0.62 kg/m3
Your Answer
C
1.12 kg/m3
Correct Answer
D
0.13 kg/m3

Solution

The correct option is D 0.13 kg/m3
Given,
Mass of hydrogen gas in mixture =4 g
Mass of helium gas in mixture =8 g
No. of moles of hydrogen gas (n1)=2
No. of moles of helium gas (n2)=2
Molecular weight of mixture (M)=n1M1+n2M2n1+n2
=2(2)+2(4)4=3 g/mol
Density of mixture, (ρ)=PMRT=(1.01×105)×(3×103)8.31×273
=0.13 kg/m3

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