Equal masses of , and methane have been taken in a container of volume V at temperature 27°C in identical conditions. The ratio of the volumes of gases methane would be [2014]

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Solution

Q.
Equal masses of $H_{2}$ , $O_{2}$ and methane have been taken in a container of volume V at temperature 27°C in identical conditions. The ratio of the volumes of gases $H_{2} : O_{2} :$ methane would be [2014]

1 8 : 16 : 1

2 16 : 8 : 1

3 16 : 1 : 2

4 8 : 1 : 2

Ans.
(3)

According to Avogadro's hypothesis, ratio of the volumes of gases will be equal to the ratio of their number of moles.

$So, no. of moles = \frac{Mass}{Mol. mass}$

$n_{H_{2}} = \frac{w}{2}; n_{O_{2}} = \frac{w}{32}; n_{C H_{4}} = \frac{w}{16}$

$So, the ratio is \frac{w}{2} : \frac{w}{32} : \frac{w}{16} or 16 : 1 : 2$

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