Kinetic Theory of Gases
 

Kinetic Theory of Gases problem 9


  • Use one of the assumptions of the kinetic theory of gases to explain why the potential energy of the molecules of an ideal gas is zero.


  • The average translational kinetic energy of a molecule of an ideal gas is given by the expression




    where is the mass of a molecule and is the Boltzmann constant. State the meaning of the symbol






  • A cylinder of constant volume contains an ideal gas at pressure and temperature . The gas is heated. The thermal energy transferred to the gas is . The final temperature and pressure of the gas are and , as illustrated in the figure below.




    • Calculate


      • the number of molecules in the cylinder,


      • the increase in average kinetic energy of a molecule during the heating process.


    • Use your answer in (i) part 2 to determine the final temperature , in kelvin, of the gas in the cylinder.


 

main author and content editor: Ebenezer Famadewa