(a) $pV = nRT$ $V = same$ $R = constant$ $T = same$ $p \propto n$ $or\ \ p \propto \frac{w}{M}\ but\ w\ is\ same.$ $So,\ p \propto \frac{1}{M}$ $\frac{p_{CH_{4}}}{p_{O_{2}}} = \frac{M_{O_{2}}}{M_{{CH}_{4}}} = \frac{32}{16} = \frac{2}{1}$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.