Written Question #1 For the heat engines and the heat pumps below fill in possib

Question

Written Question #1 For the heat engines and the heat pumps below fill in possible values for the heat and work values such that the conditions given are met. You Must Explain your answers for full points. (a.) A heat engine that viloates the first law of thermodynamics. (b.) A heat engine that obeys the first law of thermodynamics but violates the second law of thermodynamics 500 K Ho 500 K Qu Wout w.ut 300 K 300 K Qu = 100 J Qu = 100 J (c.) A heat pump that viloates the first law of thermodynamics. (d.) A heat pump that obeys the first law of thermodynamics but violates the second law of thermodynamics 500 K 500 K Qu Win Win COLD 300 K OLD 300 K Qu = 100 J Qu = 100 J

Explanation / Answer

a. Qh = Wout + Qc

now, Qh = mCTh = 100

mC = 100/500

hence

Qc = mCTc = 100*300/500 = 60

hence

Wout = Qh - Qc = 40

but this engine voilates the first law

so Wout can have any value

b. Qh = Wout + Qc

Qh = 100 J

Qc = 100*300/500 = 60 J

Wout = 40 J

c. Qc + Win = Qh

Qh = 100 J

Qc = 100*300/500 = 60 J

Win = Qh - Qc = 40 J

but this engine violates first law

hence Win can hajve any value

d. Qc + Win = Qh

Qh = 100 J

Qc = 100*300/500 = 60 J

Win = 40 J

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