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(C) According to Avogadro's hypothesis,the volume of a gas $(V)$ is directly proportional to the number of moles $(n)$ at constant temperature and pre

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$16 : 1 : 2$

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(C) According to Avogadro's hypothesis,the volume of a gas $(V)$ is directly proportional to the number of moles $(n)$ at constant temperature and pressure. Therefore,the ratio of the volumes of gases is equal to the ratio of their moles. Let the mass of each gas be $m$. The molar masses are: $M_{H_2} = 2 \ g/mol$,$M_{O_2} = 32 \ g/mol$,and $M_{CH_4} = 16 \ g/mol$. The ratio of volumes is: $V_{H_2} : V_{O_2} : V_{CH_4} = n_{H_2} : n_{O_2} : n_{CH_4} = \frac{m}{2} : \frac{m}{32} : \frac{m}{16}$. Multiplying by $32/m$,we get: $16 : 1 : 2$.

Equal masses of $H_2, O_2$ and methane have been taken in a container of volume $V$ at temperature $27 \ ^oC$ in identical conditions. The ratio of the volumes of gases $H_2 : O_2 :$ methane would be

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