Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2024PhysicsKinetic Theory of GasesActual

In a mixture of gases, the average number of degree of freedoms per molecule is 6 . The rms speed of the molecule of the gas is c , then the velocity of sound in the gas is

Options

  1. Ac 3
  2. Bc 2
  3. C2 c 3
  4. D3 c 3

Correct answer

C. 2 c 3

Step-by-step solution

( v_ rms = 3 R T M and v_ sound = R T M v_ sound v_ rms = 3 Degree of freedom is 6 . array lr & =1+ 2 f =1+ 2 6 = 4 3 & v_ sound = 4 / 3 3 v_ rms = 2 3 v_ rms = 2 c 3 array

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

The temperature of an ideal gas is increased from 200 K to 800 K . If r.m.s. speed of gas at 200 K is v₀ . Then, r.m.s. speed of the gas at 800 K will be: 2024Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. P _ A and P_B are the pressures of the gases in A and 2024A flask contains hydrogen and oxygen in the ratio of 2: 1 by mass at temperature 27^ C . The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is : 2023A bicycle tyre is filled with air having pressure of 270 kPa at 27^ C . The approximate pressure of the air in the tyre when the temperature increases to 36^ C is 2023A monoatomic gas of molar mass m is kept in a insulated container. Container is moving with velocity v . If the container is suddenly stopped, then the change in the temperature of 2022One mole of an ideal diatomic gas undergoes a process as shown in the figure. The molar specific heat of the gas in the process is 2022The temperature of an ideal gas is increased from 120 ~K to 480 ~K . If at 120 ~K , the root mean square velocity of the gas molecules is v , at 480 ~K it becomes 2021Ther.m.s. velocity of oxygen molecule at 16^ C is 474 ~m / sec . The r.m.s. velocity in m / s of hydrogen molecule at 127^ C is 2020 Full Kinetic Theory of Gases list All BITSAT PYQs