(c)
Suppose the equal mass of methane and oxygen = w= 1g
Mole fraction of oxygen = $\frac{w/32}{\frac{w}{32} + w/16}$
=$\frac{\frac{1}{32}}{\frac{3}{32}} = \frac{1}{3}$
Let the total pressure = p
Pressure exerted by oxygen (partial pressure)
= $X_{o_{2}} \times p_{total} = p \times \frac{1}{3}$