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Complete Analysis of a Refrigerator

Goal Solve for the performance coefficient of a refrigerator using a fivestep process the includes:

$1.$ Making a state table.

$2.$ Making a process table.

$3.$ Calculating the totals for Work, Heat, and Internal$-$Energy$-$Change.

$4.$ Identifying the heat input $($cold reservoir$)$ and output $($hot reservoir$).$

$5.$ Calculating the performance coefficient of the refrigerator.

Problem Shown in the figure to the right is a cyclic process undergone by a refrigerator. Your refrigerator shall use $10\mathrm{.}0$ moles of helium gas $($monatomic$).$ During the process a$->$b$,$ the volume increases by a factor of $2\mathrm{.}0.$

Solution

$(1)$ Fill in the State Table $($all pressures in Pascals, all

volumes in cubic meters, all temperatures in K$).$

$(2)$ Fill in the Process Table $($all entries in Joules$).$

$(3)$ Find the Totals:

$(4)$ Find the heat input $($from "cold reservoir"$)$ and

the heat output $($to "hot reservoir"$)$:

$(5)$ Find the performance coefficient of the

refrigerator: