Task $3(19$ P$)$The intemal temperaturc of a cold store Inore $-15\backslash$deg C must bc kept constant at an arnbienttempcrature of a $20\backslash$deg C$.$ For this purpose, a heat flow of $100$ kW is extracted fron the coldstore with the aid ofa compression refrigeration machine. The working medium R$22$ passesthrough the following cycle in the refrigeration machinc: Saturaled steam $($p$=2\mathrm{.}014$ bar$)$ isirreversibly adiabatically compresscd to the pressure p$,11\mathrm{.}919$ bar. Thc isentropiccompresSor efficicncy is $85\%.$ This is followed by an isobaric heat removal to the saturatedliquid linc and subsequent subcooling by $3$ K in an outwardly adiabatic condenser.Afterwards, the refrigerant is adiabatically expandcd through a throttle back to the initialpressure and then complctcly evaporated in an isobaric, outwardly adiabatic evaporator.a$)$ Schematically illustrate the cycle process in a T$,$s$-$diagram.b$)$ Determine the volumc flow V and the power of the compressor P$2-$c$)$ Determine the coefficient of performance Eref and the cxergetic efficiency nexof the cooling process.d$)$ Determine the exergy loss of the throttle.Properties of R$22$:Saturationt$-30-25-1010253040$t$507080$Ps$90100$MPa kg$/$m$^30\mathrm{.}16390\mathrm{.}20140\mathrm{.}35480,49800\mathrm{.}68091\mathrm{.}04391\mathrm{.}1919$Homogeneous states:$1\mathrm{.}5336$Propertics at the critical point:kg$/$m$6\mathrm{.}62896$A$1536\mathrm{.}21606\mathrm{.}0295$p$\text{'}5\mathrm{.}85441377\mathrm{.}25\mathrm{.}68981362\mathrm{.}01314\mathrm{.}71281\mathrm{.}51246\mathrm{.}71190\mathrm{.}71170\mathrm{.}71128\mathrm{.}5$p$"$Skg$/$m$^37\mathrm{.}3798\mathrm{.}95815\mathrm{.}32221\mathrm{.}22928,82044\mathrm{.}23250\mathrm{.}70566\mathrm{.}193$p$=0\mathrm{.}2014$ MPak$/($kg K$)1\mathrm{.}967931\mathrm{.}989302\mathrm{.}010332\mathrm{.}031012\mathrm{.}051392\mathrm{.}07147$kj$/($kg K$)$ k$/($kg K$)0\mathrm{.}86870\mathrm{.}89120\mathrm{.}95721\mathrm{.}00001\mathrm{.}04221\mathrm{.}10451\mathrm{.}12521\mathrm{.}1665$hk$/$kg$445\mathrm{.}01452\mathrm{.}03459\mathrm{.}13466\mathrm{.}34473\mathrm{.}631,8015481\mathrm{.}031\mathrm{.}79181\mathrm{.}76581\mathrm{.}75071\mathrm{.}73681\mathrm{.}71741\mathrm{.}71111\mathrm{.}6985$kg$/$m$44\mathrm{.}96542\mathrm{.}76340\mathrm{.}84739\mathrm{.}15437\mathrm{.}63936\mathrm{.}269$h'Homogeneous liquid al p$-11919$ MPa: Cp $\mathrm{.}2807$ kJ$/($kg K$)$k$]/$kg$165\mathrm{.}88171\mathrm{.}44188\mathrm{.}40200\mathrm{.}00211\mathrm{.}87230\mathrm{.}29236\mathrm{.}62$le $96\mathrm{.}15\backslash$deg C p$=4\mathrm{.}99$ MPa pe $=523\mathrm{.}84$ kg$/$m$249\mathrm{.}651\mathrm{.}1919$ MPaSkl$/($kg K$)1\mathrm{.}76641\mathrm{.}79181\mathrm{.}8158$L$\mathrm{.}8390$L$\mathrm{.}8616$h$"$L$\mathrm{.}8834(2)(9)$k$/$kg$(4)(4)392\mathrm{.}69394\mathrm{.}90401\mathrm{.}20405\mathrm{.}05408\mathrm{.}56413\mathrm{.}03414\mathrm{.}26416\mathrm{.}25$kl$/$kg$431\mathrm{.}57439\mathrm{.}84448\mathrm{.}00456\mathrm{.}09464\mathrm{.}16472\mathrm{.}22$