Analyzing Internally Reversible ProcessesAir in a

Chapter 6, Problem 32P

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QUESTION:

Air in a piston–cylinder assembly undergoes a Carnot power cycle. The isothermal expansion and compression processes occur at 1400 K and 350 K, respectively. The pressures at the beginning and end of the isothermal compression are 100 kPa and 500 kPa, respectively. Assuming the ideal gas model with \(c_{\mathrm{p}}=1.005 \mathrm{\ kJ} / \mathrm{kg} \cdot \mathrm{K}\), determine

(a) the pressures at the beginning and end of the isothermal expansion, each in kPa.

(b) the heat transfer and work, in kJ/kg, for each process.

(c) the thermal efficiency.

Questions & Answers

QUESTION:

Air in a piston–cylinder assembly undergoes a Carnot power cycle. The isothermal expansion and compression processes occur at 1400 K and 350 K, respectively. The pressures at the beginning and end of the isothermal compression are 100 kPa and 500 kPa, respectively. Assuming the ideal gas model with \(c_{\mathrm{p}}=1.005 \mathrm{\ kJ} / \mathrm{kg} \cdot \mathrm{K}\), determine

(a) the pressures at the beginning and end of the isothermal expansion, each in kPa.

(b) the heat transfer and work, in kJ/kg, for each process.

(c) the thermal efficiency.

ANSWER:

Solution 32P

Step 1 of 6:

In this question, we need to find pressures at the beginning and at the end of isothermal expansion in

In part b, we need to find heat transfer and heat for each process

In part c, we need to find the thermal efficiency

Data given

Temperature

Temperature

Specific temperature

Pressure

Pressure

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