Kinetic Theory of Gases – JEE Main 2026 Quiz

Q1. 0.056 kg of nitrogen is enclosed in a vessel at a temperature of 127°C. The amount of heat required to double the speed of its molecules is ______ k cal. (Take R = 2 cal mol⁻¹ K⁻¹)

Q2. A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be:

Q3. A vessel contains 16 g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the vessel in cm³ is:

Q4. A mixture of hydrogen and oxygen has volume 2000 cm³, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to oxygen is:

Q5. The pressure (P) and temperature (T) of an ideal gas obey the relation P T² = constant. The volume expansion coefficient of the gas will be:

Q6. The relation between root mean square speed (v_rms) and most probable speed (v_p) of oxygen gas at 300 K is:

Q7. A cylindrical container of volume 4.0 × 10⁻³ m³ contains one mole of hydrogen and two moles of carbon dioxide at 400 K. The pressure of the mixture is: (Take R = 8.3 J mol⁻¹ K⁻¹)

Q8. An ideal gas expands such that P T³ = constant. The coefficient of volume expansion of the gas is:

Q9. Consider sound waves travelling in ideal gases He, CH₄ and CO₂. All the gases have the same ratio P/ρ. The ratio of speed of sound V_He : V_CH₄ : V_CO₂ is:

Q10. The temperature of a gas is −78°C and the average translational kinetic energy of its molecules is K. The temperature at which the average translational kinetic energy becomes 2K is: