This page covers Agniveer Army Technical Kinetic Theory with complete concept notes, 18 graded practice MCQs, key points and exam-specific tips. Free to study.
18graded MCQs · easy to hard · full solution & trap analysis
If the temperature of an ideal gas is increased from 300 K to 600 K while volume remains constant, by what factor does the pressure increase?
A gas has 2 × 10²³ molecules at 400 K. If the Boltzmann constant k = 1.38 × 10⁻²³ J/K, what is the total average kinetic energy of all molecules?
At the same temperature, which gas will have the highest average kinetic energy per molecule?
The root mean square speed of gas molecules depends on which of the following factors?
According to kinetic theory, the average kinetic energy of a gas molecule at temperature T is directly proportional to which quantity?
At what temperature will the average kinetic energy of a gas molecule equal 6.21 × 10⁻²¹ J? (Use k_B = 1.38 × 10⁻²³ J/K)
The mean free path λ of gas molecules is inversely proportional to which factors according to kinetic theory?
A container holds nitrogen gas (N₂) at 300 K with RMS velocity 500 m/s. If the same gas is heated to 1200 K, what will be the new RMS velocity?
Which of the following statements about kinetic theory is CORRECT?
The pressure of an ideal gas according to kinetic theory is expressed as P = (1/3)ρ·v_rms². If the density ρ of the gas is doubled while keeping v_rms constant, the pressure will:
According to kinetic theory, the average kinetic energy of a gas molecule at temperature T is directly proportional to which of the following?
A gas has 2 × 10²³ molecules in a container of volume 2 L at temperature 300 K. What is the number density (molecules per unit volume) of the gas?
The root mean square (RMS) velocity of gas molecules is given by v_rms = √(3k_B·T/m). If the temperature of a gas is increased 4 times, by what factor does the RMS velocity increase?
According to kinetic theory, pressure exerted by a gas is due to which of the following?
Two gases A and B have molecular masses in ratio M_A : M_B = 1 : 4. If both gases are at the same temperature and pressure, what is the ratio of their RMS speeds v_A : v_B?
A gas has molecular mass M = 32 g/mol at temperature T = 300 K. If the average kinetic energy per molecule is 6.21 × 10⁻²¹ J, what is the number of translational degrees of freedom? (k_B = 1.38 × 10⁻²³ J/K)
The root mean square speed of oxygen molecules at 27°C is 450 m/s. What will be the RMS speed at 327°C? (Assume oxygen behaves as an ideal gas)
At what temperature will the average kinetic energy of gas molecules be equal to 1 eV? (Given: Boltzmann constant k_B = 1.38 × 10⁻²³ J/K, 1 eV = 1.6 × 10⁻¹⁹ J)