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Exam1v2_KEY - Name EID Signature PGE 310 FALL 2005 EXAM 1...

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Name ______________________ Signature ______________________ EID ____________ PGE 310 FALL 2005 EXAM 1 Work all five problems. Show your work on the exam paper. All questions are self-explanatory. If you think you need more data or information, then assume some values; write down your assumption, explain why you made it, and continue to work the problem. 1. (20 points). The pressure of gas leaving a compressor P out (psia) depends on the mass flow rate m (ton/day) through the compressor and the power input W (hp) according to the equation at the right: Here ˆ V in is the specific volume of the gas going into the compressor in ft 3 /lbmol; g is the ratio of specific heat capacities for the gas; P in is the inlet pressure to the compressor (psia). Values for several operating parameters are You wish to apply Goal Seek to determine the outlet pressure when the mass flow rate is 12 ton/day and the power input is 15 hp. Enter values and formulae as appropriate in the worksheet below that would enable you to use Goal Seek for the computation. Note: do not attempt to compute a value for the outlet pressure – just set up the worksheet so that you could compute a value. Gas gravity 0.7 g (ratio of specific heats) 1.3 Inlet temperature to compressor 540 degrees Rankine Inlet pressure to compressor 50 psia Inlet specific volume of the gas 275 ft 3 /lbmol ˜ ˜ ˜ ˆ - ˜ ˜ ˆ - = - - 1 ˆ 1 10 34 . 1 1 4 in out in in P P V P m W &

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2. (10 points). You created a spreadsheet in Problem 1. Suppose now that you invoke Goal Seek, causing the dialog box below to appear. Fill in the dialog box appropriately to compute the outlet pressure at the conditions prescribed in Problem 1.
3.

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Exam1v2_KEY - Name EID Signature PGE 310 FALL 2005 EXAM 1...

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