A certain molecule has f degrees of freedom. Show that an ideal gas consisting of such molecules has the following properties: (1) its total internal energy is fnRT / 2; (2) its molar specific heat at constant volume is fR / 2; (3) its molar specific heat at constant pressure is (f + 2) R /2; (4) its specific heat ratio is y = CP/CV = (f + 2)/f.
Answer to relevant QuestionsIn a crude model (Fig. P21.35) of a rotating diatomic molecule of chlorine (Cl2), the two Cl atoms are 2.00 X 10 -10 m apart and rotate about their center of mass with angular speed = 2.00 X 1012 rad/s. What is the ...Helium gas is in thermal equilibrium with liquid helium at 4.20 K. Even though it is on the point of condensation, model the gas as ideal and determine the most probable speed of a helium atom (mass = 6.64 X 10-27 kg) in it.Show that the mean free path for the molecules of an ideal gas isA cylinder is closed at both ends and has insulating walls. It is divided into two compartments by a perfectly insulating partition that is perpendicular to the axis of the cylinder. Each compartment contains 1.00 mol of ...Consider the particles in a gas centrifuge, a device used to separate particles of different mass by whirling them in a circular path of radius r at angular speed w. The force acting toward the center of the circular path on ...
Post your question