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During a portion of the Carnot cycle, a dilute gas of diatomic nitrogen is compressed slowly at constant temperature, T = 280 K. The initial volume of the gas is 0.3 m3 and the final volume of the gas is 0.1 m3. Assume that the gas consists of 3 × 1024 molecules.

(a) What is the change in multiplicity of the gas? Express the factor by which the multiplicity changes as 10 raised to some power.

(b) What is the change in entropy of the gas?

(c) How much energy was transferred to the environment through heating or cooling. Be sure to specify whether the energy of the environment decreased or increased.

(d) How much work was done on the gas while the gas was being compressed?

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