Flashcards in Diagrams/Formulas Deck (7)

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1

Explain how this simple heat engine works:

2

Explain how the Carnot Cycle works:

3

Derive the following formula:

From: Efficiency = output/input

To: η = 1 - T_{2}/T_{1}

4

Derive the following formula for Otto Cycle:

From:

Heat supplied at constant volume = mC_{v}(T_{3}-T_{2})

Heat rejected at constant volume = mC_{v}(T_{4}-T_{1})

To:

η = 1 - (T_{4}-T_{1})/(T_{3}-T_{2})

5

Derive the following formula:

From:

r_{V} = (V_{1}/V_{2}) = (V_{4}/V_{3})

To:

η = 1 - 1/(r_{V}^{γ-1})

6

Derive the following formula:

From:

Thermal efficiency = 1 - (heat rejected at constant volume)/(heat supplied at constant pressure)

To:

η = 1 - (T_{4}-T_{1})/γ(T_{3}-T_{2})

7

Derive the following formula:

From:

η = (Heat supplied - Heat rejected)/Heat supplied

To:

η = 1 - 1/(r_{p})^{(γ-1)/γ}