Question

Equal masses of H2 and He were taken in a flask. Their rates of effusion were found
to be in molar ratio of x:
$\sqrt{2}$
. The value x is

​

Answer 1

Answer:

See below.

Explanation:

The rates of effusion are equal to the square root of the ratio of the molecular masses,

$\dfrac {r_{1}}{r_{2}}=\sqrt {\dfrac {m_{2}}{m_{1}}}$

For H2 and He, the molecular masses are 2 amu and  4 amu respectively. Hence,

$\dfrac {r_{1}}{r_{2}}=\sqrt {\dfrac {4}{2}}=\dfrac {\sqrt {2}}{1}$

Therefore, x corresponds to 1.