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Determine the following:

1			Number of moles of gas Need a Hint?
2			Work done by the gas as it goes from state 1 to state 2 Need a Hint?
3			Heat absorbed by the gas as it goes from state 1 to state 2 Need a Hint?
4			Change in internal energy of the gas as it goes from state 1 to state 2 Need a Hint?
5			Work done by the gas as it goes from state 2 to state 3 Need a Hint?
6			Change in internal energy of the gas as it goes from state 2 to state 3 Need a Hint?
7			Heat absorbed by the gas as it goes from state 2 to state 3 Need a Hint?
8			Work done on the gas as it goes from state 3 to state 4 Need a Hint?
9			Heat extracted from the gas as it goes from state 3 to state 4 Need a Hint?
10			Change in internal energy of the gas as it goes from state 3 to state 4 Need a Hint?
11			Work done on or by the gas as it goes from state 4 to state 1 Need a Hint?
12			Heat absorbed by the gas as it goes from state 4 to state 1 Need a Hint?
13			Change in internal energy of the gas as it goes from state 4 to state 1 Need a Hint?
14			Change in internal energy of the gas for the complete cycle. Need a Hint?
15			Net heat gained by the gas for the complete cycle Need a Hint?
16			Net work done by the gas for the complete cycle Need a Hint?

A heat engine absorbs 2.00 × 10³ J of heat from a high-temperature reservoir and exhausts 1.600 × 10³ J to a low-temperature reservoir. When the same engine is run in reverse as a refrigerator between the same two reservoirs, 6.00 × 10² J of work is required to extract 1.40 × 10³ J of heat from the low-temperature reservoir.

17			Amount of work done by the engine Need a Hint?
18			Efficiency of the engine Need a Hint?
19			Coefficient of performance for the refrigerator Need a Hint?
20			Amount of heat exhausted to the high-temperature reservoir by the refrigerator Need a Hint?

On a winter day, the rate of heat loss from the inside of a house averages 8.00 kW. Suppose these losses are balanced by a heat pump with a 4.00 kW motor which runs 20.0 min each hour.

21			Coefficient of performance of the heat pump under these conditions Need a Hint?
22			Rate at which heat is extracted from the outside Need a Hint?
23			Cost for a full day of operation under these conditions assuming that electric energy may be purchased from the power company for $0.10 per kW·h

Consider the Carnot cycle and information shown in the following figure.

n = 1 mol Cp = 20.77 J/mol·K Cv = 12.46 J/mol·K Ta = Tb = 773 K Tc = Td = 573 K Pa = 4.00 × 105 N/m2 Pb = 2.00 × 105 N/m2 Pc = 0.9483 × 105 N/m2 Pd = 1.8960 × 105 N/m2 Va = 16.06 × 10-3 m3 Vb = 32.12 × 10-3 m3 Vc = 50.22 × 10-3 m3 Vd = 25.11 × 10-3 m3

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24			Heat absorbed by the gas from the high temperature reservoir Need a Hint?
25			Change in entropy of the gas at the high temperature reservoir Need a Hint?
26			Heat exhausted by the gas to the low temperature reservoir Need a Hint?
27			Change in entropy of the gas at the low temperature reservoir Need a Hint?
28			Change in entropy for the system during a cycle Need a Hint?
29			Efficiency of the Carnot engine Need a Hint?
30			Coefficient of performance of the associated Carnot refrigerator Need a Hint?