Q. 1 mol of gas occupies a volume of 200 mL at 100 mm pressure. What is the volume occupied by two moles of gas at 400 mm pressure and at same temperature?
A) 50 mL
B) 100 mL
C) 200 mL
D) 400 mL
Explanation
(b) Given, $p_{1} = 100\ mm,\ V_{1} = 200\ mL\ and\ p_{2} = 400\ mm$
From Boyle’ Law
$p_{1}V_{1} = p_{2}V_{2}$
$V_{2} = \frac{p_{1}V_{1}}{p_{2}}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{100 \times 200}{400}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ V_{2} = 50$ mL
Volume of 2 mol gas=$2 \times 50 = 100$ mL
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.