1 molar mixture of He and
CH4
is containing in a
vessel at 20 bar pressure. Due to a hole in the
vessel, the gas mixture leaks out, what is the
composition of the mixture effusing out initially?
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Answer:
Hey dear,
● Answer -
He : CH4 = 8 : 1.
● Explaination -
# Given -
P = 20 bar
n1/n2 = 4
# Explanation -
For He,
M(He) = 4
P(He) = P.X(He)
P(He) = 20 × 4 / (4+1) P(He) = 16 bar
For CH4,
M(CH4) = 16
P(CH4) = P.X(CH4)
P(CH4) = 20 × 1 / (4+1)
P(CH4) = 4 bar
Rate of diffusion is given by -
r1/r2 = √[M(CH4)/M(He)] × P(He)/P(CH4)
r1/r2 = √(16/4) × 16/4
r1/r2 = 8
Therefore, composition of initial mixture is He : CH4 = 8 : 1.
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