Answer: The molar mass of the unknown gas is 71 g/mol
Explanation:
Graham's Law states that the rate of diffusion of gas is inversely proportional to the square root of the molar mass of the gas. The equation given by this law follows the equation:
[tex]Rate=\frac{1}{\sqrt {\text { Molar mass}}}[/tex]
[tex]\frac{R_1}{R_2}=\sqrt \frac{M_2}{M_1}[/tex]
Putting the values we get :
[tex]\frac{R_{O_2}}{R_X}=\sqrt \frac{M_X}{M_O_2}[/tex]
[tex]\frac{4.78}{3.21}=\sqrt \frac{M_X}{32g/mol}[/tex]
[tex]M_X=71g/nol[/tex]
Thus molar mass of the unknown gas is 71 g/mol
