1. Tardigrade
  2. Question
  3. Chemistry
  4. An open vessel at 27°C is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An open vessel at $27^{\circ}C$ is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :

JEE MainJEE Main 2019States of Matter

Solution:

$\frac{2}{5}$air escaped from vessel, $\therefore \, \frac{3}{5} \, $air remain
is vessel , P, V constant
$ \, \, \, n_1T_1 \, = \, n_2 T_2$
$n_1 (300) \, = \, \bigg(\frac{3}{5} \, n_1\bigg)T_2 \, \Rightarrow \, T_2 \, =500 K$