Q. A balloon contains $500m^{3}$ of helium at $27℃$ and 1 atmosphere pressure. The volume of the helium at $- 3℃$ temperature and 0.5 atmosphere pressure will be
A) $500\ m^{3}$
B) $700\ m^{3}$
C) $900\ m^{3}$
D) $1000\ m^{3}$
Explanation
(c) $\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}} \Rightarrow \frac{1 \times 500}{300} = \frac{0.5 \times V_{2}}{270} \Rightarrow V_{2} = 900m^{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.