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Two kilograms of water execute a Carnot power cycle in a piston-cylinde assembly

ID: 1857598 • Letter: T

Question

Two kilograms of water execute a Carnot power cycle in a piston-cylinde assembly. During the isothermal expansion, the water is heated until it is a saturated vapor from an initial state where the pressure is at 40 bar and the quality is 15%. The vapor then expands adiabatically to a pressure of 1.5 bar while doing 491 kJ/kg of specific work.
a. Sketch the cycle on p-v coordinates with the vapor dome indicated assuming the isothermal expansion process occurs between states 1 and 2. Specific coordinates of each state are not necessary, but they should have the correct locations with respect to the vapor dome.
b. Evaluate the work for process 1 to 2 c. Evaluate the heat transfer for process 1 to 2. d. Find the specific internal energy, Temperature, quality and specific volume of state 3. e. Find the heat transfer out of the system (Qc=|Q34|). f. Find the work from state 3 to 4 if the quality at state 4 is 32%. g. Find the work from state 4 to state 1. h. Evaluate thethermal efficiency.

PLEASE EXPLAIN EACH STEP, or at least show what you are doing for each step. Two kilograms of water execute a Carnot power cycle in a piston-cylinde assembly. During the isothermal expansion, the water is heated until it is a saturated vapor from an initial state where the pressure is at 40 bar and the quality is 15%. The vapor then expands adiabatically to a pressure of 1.5 bar while doing 491 kJ/kg of specific work.
a. Sketch the cycle on p-v coordinates with the vapor dome indicated assuming the isothermal expansion process occurs between states 1 and 2. Specific coordinates of each state are not necessary, but they should have the correct locations with respect to the vapor dome.
b. Evaluate the work for process 1 to 2 c. Evaluate the heat transfer for process 1 to 2. d. Find the specific internal energy, Temperature, quality and specific volume of state 3. e. Find the heat transfer out of the system (Qc=|Q34|). f. Find the work from state 3 to 4 if the quality at state 4 is 32%. g. Find the work from state 4 to state 1.

Explanation / Answer

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http://www.learnthermo.com/examples/ch06/p-6e-1.php

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