Expand 1.00 mol of a monatomic gas, initially at 3.60 kPa and 313 K, from initial...

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Physics

Expand 1.00 mol of a monatomic gas, initially at 3.60 kPa and313 K, from initial volume V_i = 0.723m³ to final volume V_f = 2.70m³. At any instant during the expansion, the pressurep and volume V of the gas are related byp = 3.60 exp[(V_i -V)/a], with p in kilopascals,V_i and V are in cubic meters, anda = 2.10 m³. What are the final(a) pressure and (b)temperatureof the gas? (c) How much work is done by the gasduring the expansion? (d) What is the change inentropy of the gas for the expansion? (Hint: Use twosimple reversible processes to find the entropy change.)

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3.7 Ratings (366 Votes)

a Since pressure and and volume at any instant of the process are related as P 360 kPa exp Vi Va or p pi exp Vi Va we get the final pressure by applying the final volume pf pi exp Vi Vfa 36 kPa exp 0723 m 270m 210 m 140 kPa b Assuming ideal gas behavior pfVf nRTf Tf pfVf nR 140 10 Pa 270 m 100 mol 83144 JKmol 456 K c Generally work done by the gas in a reversible process is given by the integral W p dV from initial to final volume With the pressure See Answer

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