A cubically shaped vessel 20 cm on a side constains diatomic H2 gas at a temperature of 300 K. Each H2 molecule consists of two hydrogen atoms with mass of 1.66 10-24 g each, separated by 10-8 cm. Assume that the gas behaves like an ideal gas. Ignore the vibrational degree of freedom. i. What is the average velocity of the molecules? ii. What is the average velocity of rotation of the molecules around an axis which is the perpendicular bisector of the line joining the two atoms (consider each atom as a point mass)?

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A cube-shaped glass, 20 cm on each side, contains a diatonic gas Hz at a temperature of 300 K. Each H2 molecule consists of two hydrogen atoms of mass 1.66×10248 (each), separated by a distance of approximately 10*cm. Assume that the gas behaves like an ideal gas. Ignore vibrational degrees of freedom

(a) What is the average speed of the molecules?

(b) What is the average speed of rotation of the molecules around the z axis? (see figure) (consider each atom as a point mass).

(c) Derive the values for C, and of the gas (i. e. the heat capacities at volume and constant pressure respectively).

 

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