Carnot Thermodynamic cycle: Design a your own carnot for 1 mole on an ideal gas.
A) Describe what happens in each step. Specify a numeral value for P, V and T for each step.
Step 1
Step 2
Step 3
Step 4
B) Draw a indicator (p vs V) diagram for your carnot cycle?
C) Complete the following table Give starting equations final answers. Show your work?
q (in kJ) | w (in kJ) | ∆U (in kJ) | ∆H (in kJ) | ||
Step 1 | |||||
Step 2 | |||||
Step 3 | |||||
Step 4 | |||||
Total |
Note/ Please answer all points A, B, and C. Also should be correct answers
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A) Carnot cycle is a full cycle of four steps
Step 1 : Isothermal expansion (P1, V1, T1) to (P2, V2, T1)
Step 2 : Adiabatic expansion (P2, V2, T1) to (P3, V3, T2)
Step 3 : Isothermal compression (P3, V3, T2) to (P4, V4, T2)
Step 4 : Adiabatic compression (P4, V4, T2) to (P1, V1, T1)
C) Table
Step 1 : Isothermal expansion (P1, V1, T1) to (P2, V2, T1)
dH = 0
dU = 0
w = -nRT1ln(V2/V1)
q = -w
Step 2 : Adiabatic expansion (P2, V2, T1) to (P3, V3, T2)
q = 0
w = Cv(T2 - T1)
dU = w
dH = Cp(T2 - T1)
Step 3 : Isothermal compression (P3, V3, T2) to (P4, V4, T2)
dH = 0
dU = 0
w = -nRT2ln(V4/V3)
q = -w
Step 4 : Adiabatic compression (P4, V4, T2) to (P1, V1, T1)
q = 0
w = Cv(T1 - T2)
dU = w
dH = Cp(T1 - T2)
Total,
Sum of all w's, q's, dU's and dH's
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