Kinetic theory of gases and molecular speeds

41 questions on Kinetic theory of gases and molecular speeds from the Gaseous State: Ideal Gases chapter: 9 NEET level, 16 JEE Main, 16 JEE Advanced. Each one opens with its answer and solution.

• According to the kinetic theory of gases, the average kinetic energy of the molecules of an ideal gas is directly proportional to NEET level
• Which of the following is NOT a postulate of the kinetic theory of an ideal gas? NEET level
• The ratio of root mean square speed to average speed to most probable speed for an ideal gas at a given temperature is JEE Main level
• At what temperature will the rms speed of O2 molecules (molar mass 32) equal the rms speed of H2 molecules (molar mass 2) at 50 K? JEE Main level
• The root mean square speed of N2 molecules (molar mass 28 g mol^-1) at 300 K, taking R = 8.314 J K^-1 mol^-1, in m s^-1 (nearest integer) is JEE Main level
• Which of the following quantities are the same for 1 mol of H2 and 1 mol of O2 kept at the same temperature in separate containers of equal volume? JEE Main level
• For the Maxwell distribution of molecular speeds of an ideal gas, which statement is correct when the temperature is raised at constant amount of gas? JEE Advanced level
• At what temperature in kelvin (nearest integer) is the root mean square speed of N2 (molar mass 28 g mol^-1) equal to 500 m s^-1? Take R = 8.314 J K^-1 mol^-1. JEE Advanced level
• The total translational kinetic energy of 16 g of O2 (molar mass 32) at 300 K, taking R = 8.314 J K^-1 mol^-1, in joules (nearest integer) is JEE Advanced level
• For an ideal gas, which of the following statements about molecular speeds are correct? JEE Advanced level
• The pressure exerted by a gas, according to kinetic theory, is due to NEET level
• If the absolute temperature of an ideal gas is made four times, its root mean square speed becomes NEET level
• Three molecules have speeds 1, 2 and 3 km s^-1. The ratio of their rms speed to their average speed is JEE Main level
• At a given temperature the rms speed of SO2 (molar mass 64) molecules is u. At the same temperature the rms speed of CH4 (molar mass 16) molecules is JEE Main level
• The average (mean) speed of O2 molecules (molar mass 32 g mol^-1) at 350 K, taking R = 8.314 J K^-1 mol^-1 and pi = 3.1416, in m s^-1 (nearest integer) is JEE Main level
• Two samples of an ideal gas, X at 300 K and Y at 1200 K, are compared. Which are correct? JEE Main level
• A gas has an rms speed of 412 m s^-1 at 300 K. Taking R = 8.314 J K^-1 mol^-1, the gas is most likely JEE Advanced level
• The average translational kinetic energy of a single molecule of an ideal gas at 400 K, taking k_B = 1.38 x 10^-23 J K^-1, expressed in units of 10^-21 J (two d... JEE Advanced level
• The ratio of the rms speed of He (molar mass 4) at 400 K to the rms speed of CH4 (molar mass 16) at 100 K, to two decimals, is JEE Advanced level
• For a sample of an ideal gas, which of the following statements are correct? JEE Advanced level
• At the same temperature, which gas has the highest root mean square speed? NEET level
• The most probable speed of gas molecules is the speed NEET level
• If the rms speed of CH4 (16) at T_1 equals the most probable speed of He (4) at T_2, then T_1/T_2 is JEE Main level
• The rms speed of He atoms (molar mass 4 g mol^-1) at 300 K, taking R = 8.314 J K^-1 mol^-1, in m s^-1 (nearest integer) is JEE Main level
• Which of the following statements about the Maxwell-Boltzmann distribution of molecular speeds are correct? JEE Advanced level
• Which of the following correctly relate the kinetic theory expression PV = (1)/(3) m N u_rms^2 to macroscopic quantities? JEE Advanced level
• For an ideal gas, the correct order of molecular speeds at a given temperature is NEET level
• The kinetic energy of one mole of an ideal gas at temperature T (translational only) is NEET level
• The average kinetic energy of molecules of H2 and O2 at the same temperature is NEET level
• The rms speed of a gas is 300 m s^-1 at 300 K. Its rms speed at 1200 K is JEE Main level
• If the pressure of an ideal gas is doubled at constant volume, the average kinetic energy of its molecules JEE Main level
• Which statement about the collision of ideal gas molecules with the container walls is correct? JEE Main level
• The most probable speed of CO2 molecules (molar mass 44 g mol^-1) at 500 K, taking R = 8.314 J K^-1 mol^-1, in m s^-1 (nearest integer) is JEE Main level
• The translational kinetic energy of 1 mol of an ideal gas at 400 K, taking R = 8.314 J K^-1 mol^-1, in kJ (two decimals) is JEE Main level
• Which of the following statements are consistent with the kinetic theory of ideal gases? JEE Main level
• The temperature at which the average speed of O2 (32) equals the rms speed of H2 (2) at 27 degC is (use pi = 3.14) JEE Advanced level
• At 300 K a gas sample has a Maxwell distribution with most probable speed u_0. The temperature at which the fraction of molecules having speed u_0 becomes maxim... JEE Advanced level
• The increase in the translational kinetic energy of 2.0 mol of an ideal gas when its temperature is raised from 300 K to 400 K, taking R = 8.314 J K^-1 mol^-1, ... JEE Advanced level
• The rms speed of a gas X at 927 degC is equal to the rms speed of CH4 (molar mass 16) at 27 degC. The molar mass of X in g mol^-1 (nearest integer) is JEE Advanced level
• Consider 1 mol of He (4) and 1 mol of N2 (28) each at 300 K in separate 10 L vessels. Which statements are correct? JEE Advanced level
• Which of the following statements about the rms speed u_rms of an ideal gas are correct? JEE Advanced level