A heat pump is under consideration for heating a research station located on an Antarctica ice shelf. The interior of the station is to be kept at $15C.$ Determine the maximum theoretical rate of heating provided by the heat pump, in $kW$ per $kW$ of power input, in each of two cases: The role of the cold reservoir is played by

a$.$ The atmosphere at $-20C$

b$.$ Ocean water at $5C$

Using the appropriate tables determine the indicated property for a process in which there is no change in specific entropy between state $1$ and state $2.($Text: P$6\mathrm{.}6)$

a$.$ Water, $p_1=14\mathrm{.}7lb\frac{f}{i}{n}^2,T_1=500F,p_2=100lb\frac{f}{i}{n}^2.$ Find $T_2$ in $F.$

b$.$ Water, $T_1=10C,x_1=0\mathrm{.}75,$ saturated vapor at state $2.$ Find $p_2$ in bar.

c$.$ Air as an ideal gas, $T_1=27C,p_1=\frac{1\mathrm{.}5}{b}ar,T_2=127C.$ Find $p_2$ in bar.

d$.$ Air as an ideal gas, $T_1=100F,p_1=3$atm,$P_2=2$atm. Find $T_2$ in $F.$

e$.$ Refrigerant $134a,T_1=20C,p_1=\frac{5}{b}ar,p_2=\frac{1}{b}ar.$ Find $v_2$ in $\frac{m^3}{k}g.$

Using the appropriate tables determine the indicated property for a process in which there is no change in specific entropy between state $1$ and state $2.($Text: P$6\mathrm{.}6)$

a$.$ Water, $p_1=14\mathrm{.}7lb\frac{f}{i}{n}^2,T_1=500F,p_2=100lb\frac{f}{i}{n}^2.$ Find $T_2$ in $F.$

b$.$ Water, $T_1=10C,x_1=0\mathrm{.}75,$ saturated vapor at state $2.$ Find $p_2$ in bar.

c$.$ Air as an ideal gas, $T_1=27C,p_1=\frac{1\mathrm{.}5}{b}ar,T_2=127C.$ Find $p_2$ in bar.

d$.$ Air as an ideal gas, $T_1=100F,p_1=3$atm,$P_2=2$atm. Find $T_2$ in $F.$

e$.$ Refrigerant $134a,T_1=20C,p_1=\frac{5}{b}ar,p_2=\frac{1}{b}ar.$ Find $v_2$ in $\frac{m^3}{k}g.$