Expand 1.00 mol of an monatomic gas initially at 5.00 kPaand 600 K from initial volume Vi = 1.00 m3 to final volume Vf =2.00 m3. At any instant during the expansion, the pressure p and volumeV of the gas are related by p = 5.00 exp[(Vi - V)/a], with p inkilopascals, Vi and V in cubic meters, and a = 1.00 m3.What are thefinal (a) pressure and (b) temperature of the gas? (c) How muchwork is done by the gas during the expansion? (d) What is S for theexpansion? (Hint: Use two simple reversible processes to find S.)

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Chapter1: Units, Trigonometry. And Vectors
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Expand 1.00 mol of an monatomic gas initially at 5.00 kPa
and 600 K from initial volume Vi = 1.00 m3 to final volume Vf =
2.00 m3. At any instant during the expansion, the pressure p and volume
V of the gas are related by p = 5.00 exp[(Vi - V)/a], with p in
kilopascals, Vi and V in cubic meters, and a = 1.00 m3.What are the
final (a) pressure and (b) temperature of the gas? (c) How much
work is done by the gas during the expansion? (d) What is S for the
expansion? (Hint: Use two simple reversible processes to find S.)

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