Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET201922 Apr 2019Morning ShiftPhysicsKinetic Theory of GasesActual

Under standard conditions, the density of a gas is ( 1400 1089 ~kg - m ⁻³ ) and the speed of sound propagation in it is (330 ~ms ⁻¹ ), then the number of degrees of freedom of the gas molecules is

Options

  1. A2
  2. B7
  3. C5
  4. D3

Correct answer

C. 5

Step-by-step solution

Given, density of gas, ( = 1400 1089 ~kg / m ^3 ) speed of sound, (v=330 ~m / s ) and under standard condition, Pressure of gas, (p=1 10^5 ~N / m ^2 ) If ( ) be the ratio of (C_p ) and (C_V ) of a gas, then the speed of sound in gas is given by ( aligned & v= P or P =v^2 & = v^2 p = 330 330 10^5 1400 1089 & =1.4 & So, = C_p C_V =1.4 aligned [ array l =1+ 2 f Since, for diatomic gas, the volume of array ] aligned & is 1.4. & Hence, the degree of freedom for aligned ) So, ( = C_p C_V =1.4 ) Since, for diatomic gas, t

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

A vessel of volume 27 10^4 cc, contains a mixture of Hydrogen (molar mass = 2 g mol⁻¹ ) and oxygen (molar mass = 32 g mol⁻¹ ) gas at standard temperature and pressure. If the mass 2026Find the mass of oxygen gas with which 1.882 10²³ degrees of freedom are associated at N.T.P. Given: Molar mass of diatomic gas, oxygen is 32 g mol⁻¹ and oxygen molecule possess th 2026An ideal gas has molar specific heat 5R 2 at constant pressure. If 1662 J of heat brings about 50 K temperature change, the number of moles of gas is 2026A jar is filled with two monoatomic non-interacting gases A and B with total masses M_A and M_B , respectively. The molar mass of A is double the molar mass of B . If the jar is ke 2026The graph of pressure P and volume V of 1 mole of an ideal gas at constant temperature is 2026Gas at pressure P, temperature T, and volume V is filled in jar A. Another jar B is filled with gas having parameters 2P , V 4 , 2T . The ratio of number of molecules of jar B to t 2026An ideal gas ( = 1.5 ) is expanded adiabatically. To reduce the root mean square velocity of molecules two times, the gas should be expanded 2026Assuming the expression for the pressure exerted by the gas, it can be shown that pressure is 2026 Full Kinetic Theory of Gases list All AP EAMCET PYQs