Suppose that 4.6 moles of an ideal diatomic gas has a temperature of 1335 K, and

Question

Suppose that 4.6 moles of an ideal diatomic gas has a temperature of 1335 K, and that each molecule has a mass 2.32 × 10-26 kg and can move in three dimensions, rotate in two dimensions, and vibrate in one dimension as the bond between the atoms stretches and compresses. It may help you to recall that the number of gas molecules is equal to Avagadros number (6.022 × 1023) times the number of moles of the gas.

4. The gas cools to a temperature 634 K, which causes the gas atoms to stop vibrating, but maintain their translational and rotational modes of motion. What is the change in the internal energy of the gas?

Explanation / Answer

initially degrees of freedom =>

f = 6

finally

f = 5

change in internal energy = (5/2 * 4.6 * 8.3144598 * 634) -(6/2 * 4.6 * 8.3144598 * 1335)

=   -92556.5664936 J

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