When the temperature of a gas is kept constant, the volume V of a fixed mass of gas is inversely proportional to its pressure P . In other words, for an invariable mass of a perfect gas, at constant temperature, the product of its pressure and volume is a constant. P ∝ 1 V ⇒ P V = constant

Gamma Question Bank for Medical Physics>Chapter 13 - Kinetic Theory>Assignment>Q 14

EASY

NEET

IMPORTANT

Earn 100

Define: degrees of freedom.

Important Questions on Kinetic Theory

EASY

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 13 - Kinetic Theory>Assignment>Q 23

State Boyle's law.

HARD

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 13 - Kinetic Theory>Assignment>Q 41

Assuming the relation,

P = \frac{1}{3} ρ v^{2}

of kinetic theory, prove that the average kinetic energy of a molecule of an ideal gas is directly proportional to the absolute temperature of the gas.

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 13 - Kinetic Theory>Assignment>Q 44

A vessel contains two non-reactive gases: neon (monatomic) and oxygen (diatomic) The ratio of their partial pressures is $3 : 2$ . Estimate the ratio of

(a) number of molecules and

(b) mass density of neon and oxygen in the vessel.

Atomic mass of $Ne = 20.2 u$ . Molecular mass of $O_{2} = 32.0 u$ .

MEDIUM

NEET

IMPORTANT

Gamma Question Bank for Medical Physics>Chapter 13 - Kinetic Theory>Assignment>Q 45

An oxygen cylinder of volume $30$ litres has an initial gauge pressure of $15 atm$ and a temperature of $27 ° C$ . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to $11 atm$ and its temperature drops to $17 ° C$ . Estimate the mass of oxygen taken out of the cylinder ( $R = 8 .31 {Jmol}^{- 1} K^{- 1}$ , molecular mass of $O_{2} = 32 u$ ).