# Equal masses of H2, O2 and methane have been taken in a container of volume V at temperature 27oC in identical conditions. The ratio of the volumes of gases H2:O2: methane would be : Option 1) 8 : 16 : 1 Option 2) 16 : 8 : 1 Option 3) 16: 1 : 2 Option 4) 8 : 1 : 2

As learnt in

Partial Pressure of a gas in gaseous mixture -

Partial Pressure = (Total Pressure of Mixture) $\times$ (mole fraction of gas)

-

Suppose mass is m

moles of $H_{2}$ = m/2

moles of $O_{2}$ = m/32

moles of methane = m/16

Volume ratio = $\frac{m}{2}=\frac{m}{32}=\frac{m}{16}$

= 16:1:2

Option 1)

8 : 16 : 1

This solution is incorrect.

Option 2)

16 : 8 : 1

This solution is incorrect.

Option 3)

16: 1 : 2

This solution is correct.

Option 4)

8 : 1 : 2

This solution is incorrect.

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