The molar mass of A is 130.42 g
Explanation:
Given:
Let the rate of effusion of A = x
So,
rate of effusion of He = 5.71x
Molar mass of He = 4 g/mol
Molar mass of A = ?
We know:
[tex]\frac{rate of effusion of A}{rate of effusion of He} =\frac{\sqrt{m_H_e} }{\sqrt{m_A} }[/tex]
On substituting the value:
[tex]\frac{x}{5.71x} = \frac{\sqrt{4} }{\sqrt{m_A} } \\\\\sqrt{m_A} = 5.71 X 2\\\\\sqrt{m_A} = 11.42\\ \\m_A = (11.42)^2\\\\m_A = 130.42[/tex]
The molar mass of A is 130.42 g