$2.$ A refrigeration system to be installed must be capable of cooling $10,000$ lbm of pork

shoulder from $40\backslash$deg F to $10\backslash$deg F in $2$ hours. The pork shoulder has a freezing point of $28\backslash$deg F$,$

water content of $73\%,$ a specific heat above freezing of $0\mathrm{.}86$ Btu$/$lbm$-\backslash$deg F and below

freezing of $0\mathrm{.}53$ Btu$/$lbm$-\backslash$deg F$,$ and a thermal conductivity of $0\mathrm{.}71$ Btu$/$hr$-$ft$-\backslash$deg F$.$ Assuming

atmospheric conditions, what is the required capacity of refrigeration system?

Use the latent heat of fusion for water $($at $1$atm$),$ hf$=144$ Btu$/$lbm$.$

$3$ A chiller is designed to provide $12$ tons of cooling to a large commercial building. What

must the flow rate through the chiller be$,$ in gpm$,$ if the temperature of the supply water

from the chiller is $46$ F and the temperature of water returning to the chiller is $60\backslash$deg F$?$

Use specific heat of water, cp$=1\mathrm{.}0$ Btu$/($lbm$-$F$)$ and assume no energy loss for the chilled

water transportation

$4.$ A water$-$source heat pump uses a $100,000$ gallon of swimming pool water as a heat

source for a building during the winter. When the heat pump is running at full capacity, it

draws $3\mathrm{.}5$ tons of energy from the pool. How long would it take the heat pump

continuously running at full capacity to draw the pool temperature down from $60\backslash$deg F to

$40\backslash$deg F$?$ Assume no heat gain to the pool from sunlight or ground conduction