13. (30 pts.,) A 3.250 L piston contains 0.1600 mol of an ideal gas at 120.0 kPa

Question

13. (30 pts.,) A 3.250 L piston contains 0.1600 mol of an ideal gas at 120.0 kPa (Point A) before the piston is compressed down to 812.5 mL and a pressure of1 209.52 kPa (Point B). Th 302.38 kPa (Point C) before returning to its original state (a) (3 pts.) Find the temperature of points A, B and C (b) (12 pts.) Determine the type of process for each step of the cycle. You must en, the piston ends up back at its original volume but at a pressure of justify your answers! (c) (10 pts.) Find W and Q for each step in the cycle. (d) (5 pts.) What is the net work done by/on the gas during one complete cycle?

Explanation / Answer

(a) TA=P*V/nR=293.2 K

TB=Pb*Vb/nR=738.76K

TC=Pc*Vc/nR=738.76 K

(b)A-B is adiabatic compression as temperature increases during compression

B-C is isothermal as temperature is same

(c) Let adaibatic constant for gas is y

Pa*Va^y=Pb*Vb^y

y=1.67

work=-889.34 J

Q=0

for B-C

work=nRTln(Vc/Vb)=1362.35J

Q=1362.35 J

(d)Net work=473.01J

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