Question

Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). Pressure 100000 Volume 0.2 Temperature 300 100000 902.9 300000 0.2 902.9 du Work 40000 Heat 59.72 99.72 a- >b (2) Fill in the Process Table (all entries in Joules). -65900 O -65.9 X > c- 0 -59720 -59720 (3) Find the Totals: Work = -25900 Heat = -25900 dU = 0 X ] (4) Find the heat input (from "cold reservoir") and the heat output (to "hot reservoir"): Q-hot = 125.620 Q-cold = 99720 (5) Find the performance coefficient of the refrigerator: Coefficient = 3.85

Answer 1

t he no. of moles of monoatomic helium gay = 8 Cp= 5 R Cu=5 R , and R= universal gas constant = 8.3145lmol-k. Also, AP(pa) isothermal > Volume (m²) Tasook Pa = 105 Pa.

3 no.199 m3 m o Pa Va= nRTA V-8 X 8.314 X 300 lor a = 0.2m3 Also, TV6 = 3 Va = 0.6m3 l = 0.2 m3 l from the groph Since [a b processix irobaric . (Po=Pa = 105 Pa) also VB LT: fazla = 3 Va en 136=3 Ta T=34300K = To- gook gook ? But boc is isothermal process, hence To- gook . At point Peuca ARTE Pa 8x8.314x 90o = 3x10 p

I AB, is isobaric process, hence ر ا ج ر ) ا (ی - ا . 2. = 105 (0.6- 0.2) Joules. F = 4X10 Joules. du = nCrd T = 8x 3 RX (90o-300) Joules du= 59861 Joules .: dQ= heat given a dut dw = 99861 Joules. b c is isothermal process, hence change in temperature is dT=o. eu dU=0 .: S = W = heat= Work o Work - MRT di Ve ) = 2:30 ART Log Ves Work = 8x 8.314 X 900 x 2.303 le work=-65776 Joules.. oo heat -- 65776 Joules.

o c a is isochoric process, ie Change in volume duzo. . Workzo. 0 = Wat AU heat given = change in internal Energy 8= Au= NA Cv AT heat=&= 8x 3 x 2.314 x (Ta-Tc) Q=8x1.5x 8.314x (300-900) AU= 10W - 59861 Joules V (3) Total work is W = Was + Wbct Wea W = (40000+(-65776) + o) Joules (W=- 25776 Joules Ang a total = Qab + Q bc toca Qu9986)+(-65776)+(-59861) & Total = - 25776 Joules Aug AUTotal = of Ans since it is a cyclic process

su Heat input from the cold reservoir is the heat absorbed in the cyclic process is O cold - 99861 = has and heat rejected to the hot reservoir is hot - Obct Q ca = - 125 637 Joules you have anot = 125.626 KJ in K Joules which Yo wrillen er* با ما Note 4