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Kinetic Theory · Question 15

NEET (UG) 2019MCQEasy📈 Topic in 0% papers+4−1
1

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

Answer

(1) increase in its kinetic energy

Solution

As per NCERT (kinetic theory), the average kinetic energy of a gas molecule is proportional to absolute temperature:

KE = 32kBT

⇒ When T increases, the kinetic energy of the gas increases.

In a closed container the volume is fixed, so the intermolecular distance does not decrease, the pressure increases (p T) and the mass stays the same.

Answer: (1)

NEET (UG) 2019

Keep practising — Kinetic Theory

2

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
NEET 2018
3

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
NEET 2017
4

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
NEET 2016 (Phase 1)
5

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
NEET 2016 (Phase 2)
6

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
AIPMT 2015
7

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
AIPMT 2015
8

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 )
AIPMT 2015 (Cancelled)
9

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

  1. r3
  2. r2
  3. r
  4. r
AIPMT 2014
10

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
NEET 2013
11

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T1 K to T2 K is

  1. 34Na kB (T2 - T1)
  2. 34Na kB ( T2T1 )
  3. 38Na kB (T2 - T1)
  4. 32Na kB (T2 - T1)
NEET 2013

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