Student Login

Home›Chapters›Kinetic Theory of Gases PYQs›Pressure & Kinetic Energy of a Gas›Question 1

MHT CET 2026 (13 May, Shift 1) · Pressure & Kinetic Energy of a Gas

Pressure & Kinetic Energy of a Gas question from MHT CET 2026 (13 May, Shift 1)

Q1MHT CET 2026 · 13 MAY · SHIFT 1Easy

Pressure & Kinetic Energy of a Gas

At what temperature, the kinetic energy of a gas molecule is half of the value at $27^\circ$ C?

Show answer and solution

Answer: (b)

Mean KE $= \frac{3}{2}k_BT$ , so $E \propto T$ (in kelvin).
$T_1 = 27 + 273 = 300$ K, so half the KE needs $T_2 = 150$ K.
$150 - 273 = -123^\circ$ C
So the answer is (b) $-123^\circ$ C.

Report a mistake

More questions on Pressure & Kinetic Energy of a Gas

At 27 temperature, the mean kinetic energy of the atoms of an ideal gas is E₁. If the…MHT CET 2026 (12 May, Shift 2)
The kinetic energy of an ideal gas is E₀ at 27° C. When the temperature is increased to…MHT CET 2026 (19 Apr, Shift 1)
The translational kinetic energy of the molecules of a gas at absolute temperature (T)…MHT CET 2026 (16 Apr, Shift 1)
The average force applied on the walls of a closed container depends on temperature (T)…MHT CET 2026 (15 Apr, Shift 1)
Energy of a gas/litre is 600 joule, then what will be its pressure?MHT CET 2026 (13 Apr, Shift 2)
The average translational kinetic energy of a molecule in a gas is E₁. The kinetic energy…MHT CET 2026 (15 Apr, Shift 2)
The initial average kinetic energy of the molecules was E, when a gas sample is at 27…MHT CET 2025 (25 Apr, Shift 2)
The mean kinetic energy of the molecules of an ideal gas at 399 is ' E '. The temperature…MHT CET 2025 (22 Apr, Shift 1)