English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = CpCvCpCv?

Advertisements
Advertisements

Question

A container has one mole of the monoatomic ideal gas. Each molecule has f degrees of freedom. What is the ratio of γ = `"C"_"p"/"C"_"v"`?

Options

  • f

  • `"f"/2`

  • `"f"/("f" + 2)`

  • `("f" + 2)/"f"`

MCQ
Advertisements

Solution

`("f" + 2)/"f"`

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Kinetic Theory of Gases - Evaluation [Page 183]

APPEARS IN

Samacheer Kalvi Physics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 9 Kinetic Theory of Gases
Evaluation | Q I. 8. | Page 183

RELATED QUESTIONS

Define the term degrees of freedom.


Derive the ratio of two specific heat capacities of monoatomic, diatomic and triatomic molecules.


During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of γ = `("C"_"P"/"C"_"V")`


Two monoatomic gas A and B occupying the same volume V are at the same temperature T and pressure P. If they are mixed, the resulting mixture has volume V and temperature T. The pressure of the mixture is:


Which of the following statement given below are correct for monoatomic gas?

I. Cv = `3/2 "R"`

II. Cp = `5/2 "R"`

III. Cp − Cv = 2R

IV. `"C"_"p"/"C"_"v" = 5/3`


A ballon has 5.0 g mole of helium at 7°C. Calculate

  1. the number of atoms of helium in the balloon
  2. the total internal energy of the system.

Calculate the number of degrees of freedom of molecules of hydrogen in 1 cc of hydrogen gas at NTP.


The average energy for molecules in one degree of freedom is ______.


Which statements are correct about degrees of freedom?

  1. A molecule with n degrees of freedom has n2 different ways of storing energy.
  2. Each degree of freedom is associated with `1/2`RT average energy per mole.
  3. A monoatomic gas molecule has 1 rotational degree of freedom whereas the diatomic molecule has 2 rotational degrees of freedom.
  4. CH4 has a total of 6 degrees of freedom.

Choose the correct answer from the option given below:


A gas has n degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×