5.) Over several cycles, a refrigerator compressor does work on the refrigerant. This work is equivalent to a constant pressure of 4.13 x 10^5 Pa compressing a circular piston with a radius of 0.019 m a distance of 25.0 m. If the change in the refrigerant's internal energy is 0 J after each cycle, how much heat will the refrigerant remove from within the refrigerator?
a.) 0.00 J
b.) 450 J
c.) 11,709 J
d.) 1.96 x 10^5 J
6.) The piston and flywheel part of a steam engine takes in 975 J of energy as heat and expels 583 J of energy as heat. The internal energy of the system increases by 247 J during the process. Work is done by steam at a pressure of 2.60 x 10^5 Pa. If the radius of the piston is 4.25 x 10^-2 m, how far is the piston displaced?
a.) 3.92 m
b.) 1.47 m
c.) 0.099 m
d.) 0.014 m
7.) Over several cycles, a refrigerator compressor does work on the refrigerant by causing a net change in volume of -0.162 m^3 under a constant pressure of 3.55 x 10^5 Pa. This causes the refrigerant to remove 6.63 x 10^4 J of energy as heat from the interior of the refrigerator. Because the compartment is not perfectly insulated, 1.7 x 10^3 J of energy leaks into the compartment from outside the refrigerator. What is the internal energy of the system?
a.) 5.75 x 10^4 J
b.) -6.629 x 10^4 J
c.) -7.09 x 10^3 J
d.) -5.75 x 10^4 J
8.) An internal combustion engine with an initial temperature of 26.8°C is started. The combustion reactions add 7.33 x 10^6 J of energy as heat to the engine after several cycles. During this time, the coolant that flows through the block of the engine removes 2.75 x 10^6 J of energy as heat. At the same time, 1.80 x 10^5 J of energy is removed as heat by the exhaust gases. The engine does work, which can be described as being equivalent to one large piston being pushed a distance by gas at a constant pressure of 6.15 x 10^5 Pa. If the internal energy is 3.59 x 10^6 J, what is the volume of the piston?
a.) -1.30 m^3
b.) -7.35 m^3
c.) -2.37 m^3
d.) 1.21 m^3