Question

Two identical vessels are filled with $44g$ of hydrogen and $44g$ of carbon dioxide at the same temperature. If pressure of ${CO}_2$ is $2$ atm then find the pressure of hydrogen.

Answer 1

$n_{H_2}=\frac{44}{2}=22moles;n_{{CO}_2}=\frac{44}{44}=1mole$

$P_{H_2}=x_{H_2}\cdot P=\frac{22}{23}Pand{P}_{{CO}_2}=x_{{CO}_2}\cdot P=\frac{1}{23}P$

$\therefore P_{H_2}=\frac{\frac{22}{23}}{\frac{1}{23}}\times P_{{CO}_2}=22\times 2=44atm$