Problem 3: Answer the following question about the coefficient of performance (COP). Randomized Variables T = -1.2° F Th = 78° F What is the maximum coefficient of performance (COP) for a freezer that is set to maintain the cold space at -1.2° F, which is located in a kitchen that is maintained at 78° F? COP = sino coso tano
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- Problem 12: Answer the following question about the coefficient of performance (COP).Randomized VariablesTc = -3.4° CTh = 21.1° C What is the maximum coefficient of performance (COP) for a freezer that is set to maintain the cold space at -3.4° C, which is located in a kitchen that is maintained at 21.1° C?Answer the following question about the coefficient of performance (COP). Randomized VariablesTc = -0.2° FTh = 65° F -What is the maximum coefficient of performance (COP) for a freezer that is set to maintain the cold space at -0.2° F, which is located in a kitchen that is maintained at 65° F?Answer the following question about the coefficient of performance (COP).Randomized VariablesTc = -6.8° CTh = 22.1° C What is the maximum coefficient of performance (COP) for a freezer that is set to maintain the cold space at -6.8° C, which is located in a kitchen that is maintained at 22.1° C?
- Answer the following question about the coefficient of performance (COP). Randomized VariablesTc = -7.2° CTh = 23.1° C What is the maximum coefficient of performance (COP) for a freezer that is set to maintain the cold space at -7.2° C, which is located in a kitchen that is maintained at 23.1° C?Problem 1 The fundamental equation of thermodynamics for a system is given by G = NRT--In(T)+ In(o) where G is Gibbs free energy, N is the number of moles of chemical substance, R is gas constant, T temperature, In is the natural log function, P is pressure. Please derive an expression each for the following: is a. Entropy s as a function of temperature T, pressure p, and number of moles N. b. Volume V as a function of temperature T, pressure p, and number of moles N. c. Helmholtz free energy as a function of temperature T, pressure p, and number of moles N.A heat pump is a heating system installed on some newer houses. It works by pumping heat from outside to inside. The efficiency of the heat pump is given by QH where W is the work done by an electric motor. The maximum theoretical efficiency of a heat pump is TH NHP maz TH – Tc 1. If the temperature outside is 44°F and the temperature inside is 65°F (these are the current temperatures outside and inside my apartment as I write this problem) what is the maximum possible efficiency of a heat pump. (Hint: You need to convert both temperatures to Kelvin first. Google can do this conversion for you.)
- a. Find an appropriate expression for the change in entropy in the following two cases: 1) S=S(T, V) 2) s= S(T, P) Where: S is entropy, T is temperature, V is volume, P is pressure b. Prove the following two themodynamie property relationships (똥),-() 8C, Where: T, P. V are temperature, pressure and volume, respectively. C, and C, are specific heats at constant volume and constant pressure, respectively.Please answer the following question(s): 1. (a) What is the best coefficient of performance for a refrigerator that cools an environment at -28° C and has heat transfer to another environment at 47 ° C? COP ref (b) How much work must be done for a heat transfer of 4186 kJ from the cold environment? W = kj (c) What is the cost of doing this if the work costs 10.0 cents per 3.6 × 106 J (a kilowatt-hour)? Cost in cents = ✓ (d) How many kJ of heat transfer, Qh occurs into the warm environment? Qh= kj Think about what type of refrigerator might operate between these temperatures. Hint: Use the appropriate formula for a refrigerator which is different from a heat pump.The low temperature of a freezer cooling coil is and the discharge temperature is 33°C. What is the maximum theoretical coefficient of performance?
- Problem 5: On a hot day, the freezers in a particular ice cream shop maintain an average temperature of T = -18° C while the temperature of the surroundings is T = 29° C. Randomized Variables T₂ = -18° C Th=29° C Part (a) Calculate the maximum coefficient of performance COP for the freezers. ✓ Correct! COPC=5.400 sin() cos cotan() asin() atan() acotan() cosh() tan() acos() E sinh() tanh() cotanh() Degrees O Radians Part (b) If the work input to the freezer is W = 2.3 kJ and the freezer actually removes Qc = 13.6 × 10³ J from the ice cream each second, what is the real coefficient of performance? COP = 5.910 ✓ Correct! Part (c) An employee puts m = 1.15 kg of melted ice cream at To=4.5° C into the freezer. Assuming that the ice cream freezes at T₁ = -1.0° C, how long in seconds will it take for the ice cream to reach its freezing temperature? Take specific heat capacity of the melted ice cream as c = 4,000.0 J/(kg.K). At₁ = ( 7 8 9 4 5 1 2 3 0 sin() cos( cotan() asin() atan() acotan…A three-axis stabilized satellite has two solar arrays. Each array has an area of 7m2. At the beginning of life each of the solar sails generate 4 kW of electrical power, which falls to 3.6 kW at the end of the satellite’s useful lifetime. 1 kW of power is needed for housekeeping (running the satellite systems) and 3 kW is devoted to the telecommunication system. a. Calculate the efficiency of the solar cells at beginning of life. Assume an incident solar power of 1.36 kW/m2, and normal incidence of sunlight on the sails. b. Calculate the efficiency of the solar cells at end of life. c. If one of the solar sails fails and produces no power, how much power is available to the telecommunication systemHow is the effectiveness or coefficient of performance KR of a heat pump measured?