Question

Carbon dioxide undergoes reversible expansion from 1x10-3 m3 to 5x10-3 m3 at 350 K following the van der Waals equation of state (with a = 0.36 J·m3/mole^2 and b = 4.3 x10-5 m3/mole). Compare the entropy change to an ideal gas undergoing the same expansion. Explore whether the entropy change remains the same if the van der Waals gas expansion is irreversible. Calculate the entropy change, ΔS, for the thermostat and the van der Waals gas as an isolated system. Investigate whether the entropy change for the thermostat is unchanged if the gas expansion is irreversible. Analyze if the chemical potential of the gas in the final state differs from that in the initial state. Compare the change in chemical potential, Δμ, for the van der Waals gas to that of an ideal gas under the same conditions.

          Carbon dioxide undergoes reversible expansion from 1x10-3 m3 to 5x10-3 m3 at 350 K following the van der Waals equation of state (with a = 0.36 J·m3/mole^2 and b = 4.3 x10-5 m3/mole). Compare the entropy change to an ideal gas undergoing the same expansion. Explore whether the entropy change remains the same if the van der Waals gas expansion is irreversible. Calculate the entropy change, ΔS, for the thermostat and the van der Waals gas as an isolated system. Investigate whether the entropy change for the thermostat is unchanged if the gas expansion is irreversible. Analyze if the chemical potential of the gas in the final state differs from that in the initial state. Compare the change in chemical potential, Δμ, for the van der Waals gas to that of an ideal gas under the same conditions.

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