A real gas within a closed chamber at 27°C undergoes the cyclic process shown in the figure. The gas obeys PV³=RT along the path A to B. The net work done in the complete cycle is (assume R=8 J mol⁻¹K⁻¹)

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(4) 205 J. Along A to B the gas obeys PV³=RT, so P=(RT)/(V³) at fixed T=300 K. W_AB=∫₂⁴(RT)/(V³)dV=(RT)/2(1/4-1/(16)) with RT=8×300=2400. W_AB=1200×3/(16)=225 J. B→ C is isobaric at 10 N/m² from 4 to 2 m³: W=10×(-2)=-20 J. C→ A is isochoric: W=0. Net W=225-20=205 J. Note that the printed axis values and the stated law do not sit together: PV³ at A is 20×8=160, not 2400. The work integral over the printed volumes with RT=2400 is what produces the key. Listed in DEFECTS.md.

A real gas within a closed chamber at 27°C undergoes the cyclic process shown in the figure. The gas obeys PV³=RT along the path A to B. The net work done in the complete cycle is (assume R=8 J mol⁻¹K⁻¹)

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