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Solutions

Question
CBSEENCH12010825

Equal masses of methane and oxygen are mixed in an empty container at 25ºC. The fraction of the total pressure exerted by oxygen is

  • 2/3

  • (1/3) x (273 / 298)

  • 1/3

  • 1/2

Solution

C.

1/3

Let the mass of methane and oxygen is w
mole fraction of oxygen 
space equals space fraction numerator begin display style straight w over 32 end style over denominator begin display style straight w over 32 end style plus begin display style straight w over 16 end style end fraction
space equals space fraction numerator begin display style 1 over 32 end style over denominator begin display style 1 over 32 end style plus begin display style 1 over 16 end style end fraction space equals space fraction numerator begin display style 1 over 32 end style over denominator begin display style 3 over 32 end style end fraction space equals space 1 third
Let the total pressure be P The pressure exerted by oxygen (partial pressure) = XO2 ×  Ptotal
 P =1/3