Equal masses of `SO_(2), CH_(4)` and `O_(2)` are mixed in empty container at `298` K, when total pressure is `2` atm. The partial pressure of `CH_(4)` in the mixture is

Options

A. `0.5` atm
B. `0.75` atm
C. `1.2` atm
D. `0.6` atm

Answer

C

Explanation

Molescular masses of `SO_(2), CH_(4)` and `O_(2)` are 64, 16 and 32. Let mass of each gas taken = 64 g
`n_(SO_(2)) = (64)/(64) = 1, n_(CH_(4)) = (64)/(16) = 4, n_(O_(2)) = (64)/(32) = 2`
`x_(CH_(4)) = (4)/(7) , p_(CH_(4)) = x_(CH_(4)) P_("Total")`
`= (4)/(7) xx 2 atm = 1.14 atm`