Student Login

Home›Chapters›Kinetic Theory of Gases PYQs›Pressure & Kinetic Energy of a Gas›Question 15

MHT CET 2024 (15 May, Shift 2) · Pressure & Kinetic Energy of a Gas

Pressure & Kinetic Energy of a Gas question from MHT CET 2024 (15 May, Shift 2)

Q15MHT CET 2024 · 15 MAY · SHIFT 2Medium

Pressure & Kinetic Energy of a Gas

In an ideal gas at temperature $T$ , the average force that a molecule applies on the walls of a closed container depends on $T$ as $T^{x}$ . The value of $x$ is

Show answer and solution

Answer: (d)

Force by a molecule = change of momentum per collision × collision rate: $F \propto (2mv)\left(\frac{v}{2L}\right) \propto mv^2$ .
$mv^2 \propto T$ , so $F \propto T^{1}$ .
So the answer is (d) 1.

Report a mistake

More questions on Pressure & Kinetic Energy of a Gas

What is the pressure of hydrogen in a cylinder of volume 10 litre if its total energy of…MHT CET 2024 (11 May, Shift 2)
The average force applied on the wall of a closed container depends as Tx where T is the…MHT CET 2024 (10 May, Shift 1)
The average translational kinetic energy of nitrogen (molar mass 28) molecules at a…MHT CET 2024 (2 May, Shift 2)
The total kinetic energy of 1 mole of oxygen at 27 is: [Use universal gas constant (R) =…JEE Main 2024 (27 Jan, Shift 2)
A flask contains Hydrogen and Argon in the ratio 2: 1 by mass. The temperature of the…JEE Main 2023 (15 Apr, Shift 1)
The temperature at which the kinetic energy of oxygen molecules becomes double than its…JEE Main 2023 (8 Apr, Shift 2)
The average kinetic energy of a molecule of the gas isJEE Main 2023 (1 Feb, Shift 1)
A flask contains hydrogen and oxygen in the ratio of 2: 1 by mass at temperature 27. The…JEE Main 2023 (30 Jan, Shift 2)