Concept explainers
The work done by the expansion valve on water.
Answer to Problem 28PP
The work done by the expansion valve on water is
Explanation of Solution
Given:
An expansion valve does work on 100 g of water to convert its temperature from
Formula Used:
According to First Law of
Where,
Q is the heat supplied to the object
W is the work done by the object.
Now, when the system is isolated from the surroundings, then thermal energy is,
Here, the thermal energy consists of energy for temperature changes and energy for converting water into vapor.
The energy for changing water to vapor is given by,
In the above equation, the parameter
The energy for causing temperature change is given by the expression,
Calculation:
Here, water is having a mass of
The thermal energy for converting water at
Now, thermal energy from vapor at
Therefore, the total energy for the given conversion is given by,
The work done is therefore equal to this thermal energy and here, work is done by the expansion valve on the object which is water. Thus,
Conclusion:
Therefore, the work done by the expansion valve on water is
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