\(10 \text{ g}\) each of \(\text{CH}_4\) and \(\text{O}_2\) are kept in cylinders of same volume under same temperature, give the pressure ratio of two gases:
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For equal masses of two gases at the same temperature and volume, the pressure ratio is simply the inverse ratio of their molar masses: \(\frac{P_1}{P_2} = \frac{M_2}{M_1}\). Since oxygen is twice as heavy as methane, it has half as many particles, which means it exerts exactly half the pressure!