Try the fastest way to create flashcards
Question

An office building requires a heat transfer rate of 20 kW20\ \mathrm{kW} to maintain the inside temperature at 21C21^{\circ} \mathrm{C} when the outside temperature is 0C0^{\circ} \mathrm{C}. A vapor-compression heat pump with Refrigerant 22a22\mathrm{a} as the working fluid is to be used to provide the necessary heating. The compressor operates adiabatically with an isentropic efficiency of 82%82 \%. Specify appropriate evaporator and condenser pressures of a cycle for this purpose assuming ΔTcond =ΔTcvap =10C\Delta T_{\text {cond }}=\Delta T_{\text {cvap }}=10^{\circ} \mathrm{C}, as shown in figure. The states are numbered as in figure. The refrigerant exits the evaporator as saturated vapor and exits the condenser as saturated liquid at the respective pressures. Determine the (a) mass flow rate of refrigerant, in kg/s\mathrm{kg} / \mathrm{s}. (b) compressor power, in kW\mathrm{kW}. (c) coefficient of performance and compare with the coefficient of performance for a Carnot heat pump cycle operating between reservoirs at the inside and outside temperatures, respectively.. Compare the results with those of previous problem and discuss.

Solution

Verified
Answered 2 years ago
Answered 2 years ago
Step 1
1 of 4

T1=010=10C=TevapT_1=0-10=-10\,\mathrm{\circ C}=T_{evap}

From Table A-7: p1=3.5485p_1=3.5485 bar, h1=246.15kJkgh_1=246.15\,\mathrm{\frac{kJ}{kg}}, s1=s2s=0.9424kJkgKs_1=s_{2s}=0.9424\,\mathrm{\frac{kJ}{kgK}}

T3=21+10=31CT_3=21+10=31\,\mathrm{\circ C}

Interpolation in Table A-7 gives p3=12.245p_3=12.245 bar, h3=h4=176.23kJkgh_3=h_4=176.23\,\mathrm{\frac{kJ}{kg}}

Table A-9 gives: h2s=276.14kJkgh_{2s}=276.14 \,\mathrm{\frac{kJ}{kg}}

h2=h2sh1ηc+h1=281.02kJkgh_2=\frac{h_{2s}-h_1}{\eta _c}+h_1=281.02\,\mathrm{\frac{kJ}{kg}}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Fundamentals of Electric Circuits 6th Edition by Charles Alexander, Matthew Sadiku

Fundamentals of Electric Circuits

6th EditionISBN: 9780078028229 (2 more)Charles Alexander, Matthew Sadiku
2,120 solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (8 more)Randall D. Knight
3,508 solutions
Advanced Engineering Mathematics 10th Edition by Erwin Kreyszig

Advanced Engineering Mathematics

10th EditionISBN: 9780470458365 (5 more)Erwin Kreyszig
4,134 solutions
Fundamentals of Engineering Thermodynamics 8th Edition by Daisie D. Boettner, Howard N. Shapiro, Margaret B. Bailey, Michael J. Moran

Fundamentals of Engineering Thermodynamics

8th EditionISBN: 9781118412930 (3 more)Daisie D. Boettner, Howard N. Shapiro, Margaret B. Bailey, Michael J. Moran
2,462 solutions

More related questions

1/4

1/7