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Kinetic Theory · Question 15

JEE Main 2025 (Online) 4th April Evening ShiftMCQMedium📈 Topic in 23% papers+4−1
1

There are two vessels filled with an ideal gas where volume of one is double the volume of the other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K, at steady state the pressure in the vessels will be (in kPa).

  1. 24
  2. 4.4
  3. 18
  4. 6

Answer

(4) 6

Solution

Let the volume of the smaller vessel be V, so the larger one has 2V. From n = PVRT:

n1 = 8 2VR 1000, n2 = 7 VR 500

The total number of moles does not change. At steady state the common pressure is P in total volume 3V at 600 K:

P 3VR 600 = 16V1000R + 7V500R

P200 = 0.016 + 0.014 = 0.030

P = 6 kPa

Answer: (4)

JEE Main 2025 (Online) 4th April Evening Shift

Keep practising — Kinetic Theory

2

A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. B is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If A B = (1 + 1n ), then the value of n is .

JEE Main 2025 (Online) 2nd April Morning Shift
3

The internal energy of air in 4 m 4 m 3 m sized room at 1 atmospheric pressure will be 106 J (Consider air as diatomic molecule)

JEE Main 2025 (Online) 2nd April Evening Shift
4

A container of fixed volume contains a gas at 27 . To double the pressure of the gas, the temperature of gas should be raised to .

JEE Main 2025 (Online) 29th January Morning Shift
5

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2025 (Online) 28th January Morning Shift
6

The ratio of vapour densities of two gases at the same temperature is 425, then the ratio of r.m.s. velocities will be :

  1. 52
  2. 254
  3. 425
  4. 25
JEE Main 2025 (Online) 28th January Evening Shift
7

The kinetic energy of translation of the molecules in 50 g of CO2 gas at 17 is :

  1. 4205.5 J
  2. 3582.7 J
  3. 3986.3 J
  4. 4102.8 J
JEE Main 2025 (Online) 28th January Evening Shift

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