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A vessel of volume 20L contains a mixture of hydrogen and helium at temperature of 27°C and pressure 2 atm. The mass of mixture is 5g. Assuming the gases to be ideal, the ratio of mass of hydrogen to that of helium in the given mixture will be
  • a)
    1 : 2
  • b)
    2 : 3
  • c)
    2 : 1
  • d)
    2 : 5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A vessel of volume 20L contains a mixture of hydrogen and helium at te...
Let there are 
 moles of hydrogen and 
 moles of helium in the given mixture. As 

Then the pressure of the mixture


or, 

or, 

The mass of the mixture is (in grams)


Solving the eqns. 
 and 
, we get
 and 

Hence, 
.

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Most Upvoted Answer
A vessel of volume 20L contains a mixture of hydrogen and helium at te...
Let ther e are n1 moles of hydrogen and n2 moles of helium in the given mixture. As Pv = nRT
Then the pressure of the mixture 
⇒ 
or, 
or, n1 + n2 = 1.62 ... (1)
The mass of the mixture is (in grams)
  n1 × 2 + n2 × 4 = 5
⇒ (n1 + 2n2) = 2.5 ... (2)
Solving the eqns. (1) and (2), we get n1 = 0.74 and n2 = 0.88
Hence, 
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Community Answer
A vessel of volume 20L contains a mixture of hydrogen and helium at te...
It seems like the question is incomplete. The temperature is given as 27, but there is no unit specified. Could you please provide the unit for the temperature?
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A vessel of volume 20L contains a mixture of hydrogen and helium at temperature of 27°C and pressure 2 atm. The mass of mixture is 5g.Assuming the gases to be ideal, the ratio of mass of hydrogen to that of helium in the given mixture will bea)1 : 2b)2 : 3c)2 : 1d)2 : 5Correct answer is option 'D'. Can you explain this answer?
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