Q. An open vessel at $27℃$ is heated until 3/8^{th} of the air in it has been expelled. Assuming that the volume remains constant, calculate the temperature at which the vessel was heated

A) $307℃$
B) $107℃$
C) $480℃$
D) $207℃$
Explanation

(d)
According to Gay Lussac’s law
$\frac{p_{1}}{T_{1}} = \frac{p_{2}}{T_{2}}$
If $\frac{3^{th}}{8}$ of the air is expelled out then remaining air $= \frac{5}{8}$
$T_{2} = \frac{(273 + 27) \times 8}{5}$
$= \frac{2400}{5} = 480\ K$
$= 480 - 273 = 207℃$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.