The density of a gas is $10$ times more than that of hydrogen. The molecular weight of gas $(X)$ is___________.

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Solution

Since at STP 1 mole of a gas occupies 22.4 L. Therefore at STP both hydrogen and the other gas will occupy 22.4 L, so the dense gas have mass equal to 10 times that of hydrogen.

$d e n s i t y = \frac{m a s s}{v o l u m e}$

$m a s s = v o l u m e \times d e n s i t y$

Therefore, $m a s s o f g a s = m a s s o f H_{2} \times d e n s i t y = 2 \times 10 = 20$

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