Q. Two gas cylinders having same capacity have been filled with 44 g of $H_{2}$ and 44 g of ${CO}_{2}$ respectively. If the pressure in ${CO}_{2}$ cylinder is 1 atm at a particular temperature, the pressure in the hydrogen cylinder at the same temperature is
A) 2 atm
B) 1 atm
C) 22 atm
D) 44 atm
Explanation
(c)
$Partial\ pressure\ \propto moles\ of\ a\ gas$
Hence, $\frac{p_{1}}{p_{2}} = \frac{x_{1}}{x_{2}}$
$\ \frac{1}{p_{2}} = \frac{44/44}{44/2}$
$\therefore p_{2} = \frac{44}{2} = 22\ atm$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.