Expand 1.046 mole of an ideal monatomic gas initially at 5.26 kPa and 605 K from

Question

Expand 1.046 mole of an ideal monatomic gas initially at 5.26 kPa and 605 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 = 5.26 exp[(Vi - V)/a], with p in kilopascals, Vi and V in cubic meters, and a = 1.00 m3. (a) What is the final pressure of the gas? (b) What is the final temperature of the gas? (c) How much work is done by the gas during the expansion? (d) What is the change in entropy of the gas during the expansion? (Hint: Use two simple reversible processes to find ?S.)

Explanation / Answer

a)P=5.26*e-1=1.935kPa

b)T=PV/nR=445K

c) Work done=integral P.dv from Vi to V.

Integrating we get,

W=3.325kJ

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