Diagrams/Formulas

Question 1

Explain how this simple heat engine works:

Question 2

Explain how the Carnot Cycle works:

Answer 2

Question 3

Derive the following formula:

From: Efficiency = output/input

To: η = 1 - T₂/T₁

Answer 3

Question 4

Derive the following formula for Otto Cycle:

From:

Heat supplied at constant volume = mC_v(T₃-T₂)

Heat rejected at constant volume = mC_v(T₄-T₁)

To:

η = 1 - (T₄-T₁)/(T₃-T₂)

Question 5

Derive the following formula:

From:

r_V = (V₁/V₂) = (V₄/V₃)

To:

η = 1 - 1/(r_V^γ-1)

Question 6

Derive the following formula:

From:

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

To:

η = 1 - (T₄-T₁)/γ(T₃-T₂)

Question 7

Derive the following formula:

From:

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

To:

η = 1 - 1/(r_p)^(γ-1)/γ