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Kinetic Theory

NEET (UG) 2020MCQMedium📈 Topic in 25% papers+4−1
Ques. 1NEET (UG) 2020

A cylinder contains hydrogen gas at pressure 249 kPa and temperature 27 . Its density is : (R = 8.3 J mol-1 K-1)

  1. 0.2 kg/m3
  2. 0.1 kg/m3
  3. 0.02 kg/m3
  4. 0.5 kg/m3

Answer

(1) 0.2 kg/m3

Solution

From the ideal gas equation PV = mMRT, the density is

= mV = PMRT

With P = 249 103 Pa, M = 2 10-3 kg mol-1 and T = 300 K,

= 249 103 2 10-38.3 300

= 4982490

= 0.2 kg/m3

Answer: (1)

Keep practising — Kinetic Theory

Ques. 2NEET (UG) 2019

Increase in temperature of a gas filled in a container would lead to :

  1. increase in its kinetic energy
  2. decrease in intermolecular distance
  3. decrease in its pressure
  4. increase in its mass
Ques. 3NEET 2018

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule (m) = 2.76 10-26 kg, Boltzmann's constant kB = 1.38 10-23 J K-1)

  1. 2.508 104 K
  2. 8.360 104 K
  3. 5.016 104 K
  4. 1.254 104 K
Ques. 4NEET 2017

A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

  1. 15 RT
  2. 9 RT
  3. 11 RT
  4. 4 RT
Ques. 5NEET 2016 (Phase 1)

The molecules of a given mass of a gas have r.m.s. velocity of 200 m s-1 at 27 and 1.0 105 N m-2 pressure. When the temperature and pressure of the gas are respectively, 127 and 0.05 105 N m-2, the r.m.s. velocity of its molecules in m s-1 is

  1. 100 23
  2. 1003
  3. 100 2
  4. 400 3
Ques. 6NEET 2016 (Phase 2)

A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas ?

  1. P/(kT)
  2. Pm/(kT)
  3. P/(kTV)
  4. mkT
Ques. 7AIPMT 2015

Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is

  1. 2
  2. 12
  3. 23
  4. 34
Ques. 8AIPMT 2015

4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0 J K-1 mol-1. If the speed of sound in this gas at NTP is 952 m s-1, then the heat capacity at constant pressure is (Take gas constant R = 8.3 J K-1 mol-1)

  1. 7.0 J K-1 mol-1
  2. 8.5 J K-1 mol-1
  3. 8.0 J K-1 mol-1
  4. 7.5 J K-1 mol-1
Ques. 9AIPMT 2015 (Cancelled)

The ratio of the specific heats CpCv = in terms of degrees of freedom (n) is given by

  1. (1 + 2n )
  2. (1 + n2 )
  3. (1 + 1n )
  4. (1 + n3 )
Ques. 10AIPMT 2014

The mean free path of molecules of a gas, (radius r) is inversely proportional to

  1. r3
  2. r2
  3. r
  4. r
Ques. 11NEET 2013

In the given (V - T) diagram, what is the relation between pressure P1 and P2? [figure]

  1. P2 < P1
  2. Cannot be predicted
  3. P2 = P1
  4. P2 > P1

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