Solved: A piston/cylinder arrangement with a linear spring

Chapter 3, Problem 268EUP

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QUESTION:

A piston/cylinder arrangement with a linear spring similar to Fig. P3.105 contains R-134a at 60 F, x = 0.6 and a volume of \(0.7\mathrm{\ ft}^3\). It is heated to 140 F, at which point the specific volume is \(0.4413\mathrm{\ ft}^3/\mathrm{lbm}\). Find the final pressure, the work, and the heat transfer in the process.

FIGURE P3.105

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QUESTION:

A piston/cylinder arrangement with a linear spring similar to Fig. P3.105 contains R-134a at 60 F, x = 0.6 and a volume of \(0.7\mathrm{\ ft}^3\). It is heated to 140 F, at which point the specific volume is \(0.4413\mathrm{\ ft}^3/\mathrm{lbm}\). Find the final pressure, the work, and the heat transfer in the process.

FIGURE P3.105

ANSWER:

Step 1 of 3

Temperature at state 1 is \({T_1} = 60\;{\rm{F}}\), Quality at state 1 is \({x_1} = 0.6\), the volume at state 1 is \({V_1} = 0.7\;{\rm{f}}{{\rm{t}}^3}\), the temperature at state 2 is \({T_2} = 140\;{\rm{F}}\), the specific volume at state 2 is \({v_2} = 0.4413\;{\rm{f}}{{\rm{t}}^3}{\rm{/lbm}}\).

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