A steel cylinder containing air has a closely fitted piston and a set of stops as shown

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A steel cylinder containing air has a closely fitted piston and a set of stops as shown in Fig. 3.7. The piston is loaded with certain weights. The air inside the cylinder is initially at \(450^{\circ} \mathrm{C}\) and 3 bar. The air is then cooled by transferring heat to the surroundings.

(a) What is the temperature of air when the piston reaches the stop?

(b) If the cooling is continued until the temperature reaches \(30^{\circ} \mathrm{C}\), what is the pressure of air inside the cylinder at this state?

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