Helium has the lowest normal boiling point of any of the

Chapter 5, Problem 64HP

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QUESTION:

Problem 64HP

Helium has the lowest normal boiling point of any of the elements at 4.2 K. At this temperature the enthalpy of evaporation is 83.3 kJ/kmol. A Carnot refrigeration cycle is analyzed for the production of 1 kmol of liquid helium at 4.2 K from saturated vapor at the same temperature. What is the work input to the refrigerator and the COP for the cycle with an ambient at 300 K?

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QUESTION:

Problem 64HP

Helium has the lowest normal boiling point of any of the elements at 4.2 K. At this temperature the enthalpy of evaporation is 83.3 kJ/kmol. A Carnot refrigeration cycle is analyzed for the production of 1 kmol of liquid helium at 4.2 K from saturated vapor at the same temperature. What is the work input to the refrigerator and the COP for the cycle with an ambient at 300 K?

ANSWER:

Solution 64 HP

Step 1 of 5:

In this question, we need to find work input to the refrigerator and coefficient of performance for the cycle

Data given

Lowest boiling point

Enthalpy of evaporation

Amount of liquid helium produced

Ambient temperature

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