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Equal masses of SO2, CH4 and O2 are mixe...

Equal masses of `SO_2`, `CH_4 and O_2` are mixed in an empty container at 298 K, when total pressure is 2.1 atm. The partial pressure of `CH_4` in the mixture is

A

0.5 atm

B

0.75 atm

C

1.2 atm

D

0.6 atm

Text Solution

Verified by Experts

The correct Answer is:
C

Let w g of each `SO_2 , CH_4 and O_2` are mixed
`:.` Mole fraction ,
`x _(CH_4) = (n_(CH_4))/( n_(SO_2) + n_(CH_4) + n_(O_2)) = ((w)/(16))/((w)/(64) + (w)/(16) + (w)/(32)) = (4)/(7)`
(Molecular weight of `SO_2 = 64 , CH_4 = 16, O_2 = 32`)
Partial pressure of `CH_4 , p_(CH_4)`
= Mole fraction ` xx ` Total pressure `=(4)/(7) xx 2.1 = 1.2` atm
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