Air as an ideal gas contained within a pistoncylinder

Chapter 6, Problem 6.50

(choose chapter or problem)

Air as an ideal gas contained within a piston–cylinder assembly is compressed between two specified states. In each of the following cases, can the process occur adiabatically? If yes, determine the work in appropriate units for an adiabatic process between these states. If no, determine the direction of the heat transfer.

(a) State 1: \(p_{1}=0.1 \mathrm{\ MPa}, \ T_{1}=27^{\circ} \mathrm{C}\). State 2: \(p_{2}=0.5 \mathrm{\ MPa},\ T_{2}=207^{\circ} \mathrm{C}\). Use Table A-22 data.

(b) State 1: \(p_{1}=3\) atm, \(T_{1}=80^{\circ} \mathrm{F}\) State 2: \(p_{2}=10\) atm, \(T_{2}=240^{\circ} \mathrm{F}\). Assume \(c_{\mathrm{p}}=0.241 \mathrm{\ Btu} / \mathrm{lb}^{\circ} \mathrm{R}\).