Question 1

You want to design an ideal Carnot heat engine that wastes only 35.0% of the heat that goes into it. The lowest cold-reservoir temperature available to you is +15.0°C. If 150.0 J of work is done per cycle, the heat input per cycle is closest to

Accepted Answer

A)  203 J 
B)  231 J 
C)  248 J 
D)  429 J 
E)  760 J

Question 2

An automobile engine takes in 4000 J of heat and performs 1100 J of mechanical work in each cycle.
(a) Calculate the engine's efficiency.
(b) How much heat is "wasted" in each cycle?

Accepted Answer

The answer of An automobile engine takes in 4000 J...

Question 3

One of the most efficient engines built so far has the following characteristics: combustion chamber temperature = 1900°C exhaust temperature = 430°C 7.0 × 10⁹ cal of fuel produces 1.4 × 10¹⁰ J of work in one hour, where 1 cal = 4.19 J (a) What is the actual efficiency of this engine? (b) What is the Carnot efficiency of the engine? (c) What is the power output of this engine?

Accepted Answer

The answer of One of the most efficient engines built...

Question 4

A Carnot engine operates between reservoirs at 550K and 300K, discarding 1500 J of heat in each cycle.
(a) What is the engine's efficiency?
(b) How much heat is supplied to the engine by the hot reservoir in each cycle?

Accepted Answer

The answer of A Carnot engine operates between reservoirs at...

Question 5

During each cycle of operation, a refrigerator absorbs 230 J of heat from the freezer and expels 356 J of heat to the room. How much work input is required in each cycle?

Accepted Answer

A)  712 J 
B)  586 J 
C)  460 J 
D)  310 J 
E)  126 J

Question 6

A 2.00-kg block of ice at 0.00°C is dropped into a very large lake at 25.0°C and completely melts. For water, the heat of fusion is 3.35 × 105 J/kg, the heat of vaporization is 2.25 × 105 J/kg, and the specific heat is 4190 J/kg∙K. The net change in entropy of the system consisting of the ice and the lake due to this melting process is closest to

Accepted Answer

A)  2.45 × 103 J/K. 
B)  2.24 × 103 J/K. 
C)  2.06 × 102 J/K. 
D)  -2.45 × 103 J/K. 
E)  -2.06 × 102 J/K.

Question 7

An air conditioner with a coefficient of performance of 3.5 uses 30 kW of power. How much power is it discharging to the outdoors?

Accepted Answer

A)  30 kW 
B)  75 kW 
C)  105 kW 
D)  135 kW 
E)  210 kW

Question 8

An ideal reversible refrigerator keeps its inside compartment at 9.0°C. What is the high temperature, Th, needed to give this refrigerator a coefficient of performance of 3.7?

Accepted Answer

A)  85°C 
B)  1052°C 
C)  11°C 
D)  42°C

Question 9

A refrigerator removes heat from the freezing compartment at the rate of 20 kJ and ejects 24 kJ into a room per cycle. How much work is required in each cycle?

Accepted Answer

A)  4 kJ 
B)  20 kJ 
C)  22 kJ 
D)  24 kJ 
E)  44 kJ

Question 10

A perfect Carnot engine operates between the temperatures of 300K and 700K, drawing 60 kJ of heat from the 700K reservoir in each cycle. How much heat is dumped into the 300K reservoir in each cycle?

Accepted Answer

A)  38 kJ 
B)  34 kJ 
C)  30 kJ 
D)  26 kJ 
E)  42 kJ

Question 11

The compressor in a certain Carnot refrigerator performs 480 J of work to remove 150 J of heat from the interior of the refrigerator. How much heat must the coils behind the refrigerator discharge into the kitchen?

Accepted Answer

A)  110 J 
B)  150 J 
C)  330 J 
D)  480 J 
E)  630 J

Question 12

What is the change in entropy of 10.0 moles of ideal monatomic gas that reversibly undergoes the isothermal expansion shown in the figure? The ideal gas constant is R = 8.314 J/(mol∙K).

Accepted Answer

A)  221 J/K 
B)  104 J/K 
C)  63.1 J/K 
D)  45.2 J/K 
E)  90.8 J/K

Question 13

A 2.0-kg block of aluminum at 50°C is dropped into 5.0 kg of water at 20°C and the temperature is allowed to stabilize. What is the total change in entropy during this process, assuming no heat is exchanged with the environment? The specific heat of aluminum is 910 J/(kg∙K) and the specific heat of water is 4190 J/(kg∙K).

Accepted Answer

A)  8.2 J/K 
B)  10 J/K 
C)  3.3 × 10-2 J/K 
D)  3.8 × 10-3 J/K 
E)  2.4 × 10-3 J/K

Question 14

A nuclear fission power plant has an actual efficiency of 39%. If 0.25 MW of power are produced by the nuclear fission, how much electric power does the power plant output?

Accepted Answer

A)  0.098 MW 
B)  9.8 MW 
C)  35 MW 
D)  0.35 MW

Question 15

A 610-g quantity of an ideal gas undergoes a reversible isothermal compression at a temperature of 330 K. The compression reduces the volume of the gas from 0.40 m3 initially, to 0.21 m3 finally. The molecular mass of the gas is 33.0 g/mol, and the ideal gas constant is R = 8.314 J/(mol∙K). The entropy change for the gas is closest to

Accepted Answer

A)  -99 J/K. 
B)  -81 J/K. 
C)  99 J/K. 
D)  81 J/K. 
E)  0.00 J/K.

Question 16

A brass rod, 75.0 cm long and having a cross-sectional area of 2.50 cm2, conducts heat from a large furnace at 375°C into a very large cold water bath at 10.0°C without losing any heat at the lateral surface of the rod. Steady state has been established, and the thermal conductivity of brass is 109 W/m∙K. The rate at which the entropy of the system (furnace plus water) is changing is closest to

Accepted Answer

A)  2.05 × 10-2 W/K. 
B)  2.64 × 10-2 W/K. 
C)  3.54 × 10-2 W/K. 
D)  4.69 × 10-2 W/K. 
E)  6.74 × 10-2 W/K.

Question 17

A Carnot engine is operated as a heat pump to heat a room in the winter. The heat pump delivers heat to the room at the rate of 34 kJ per second and maintains the room at a temperature of 293 K when the outside temperature is 229 K. The power requirement for the heat pump under these operating conditions is closest to

Accepted Answer

A)  7500 W. 
B)  6000 W. 
C)  17,000 W. 
D)  13,000 W. 
E)  9600 W.

Question 18

A heat engine with an efficiency of 30.0% performs 2500 J of work. How much heat is discharged to the lower temperature reservoir?

Accepted Answer

A)  5830 J 
B)  8330 J 
C)  750 J 
D)  1350 J 
E)  7080 J

Question 19

A real (non-Carnot) heat engine, operating between heat reservoirs at temperatures of 650 K and 270 K, performs 4.3 kJ of net work and rejects 8.0 kJ of heat in a single cycle. The thermal efficiency of this heat engine is closest to

Accepted Answer

A)  0.35 
B)  0.31 
C)  0.28 
D)  0.38 
E)  0.42

Question 20

A hot piece of iron is thrown into the ocean and its temperature eventually stabilizes. Which of the following statements concerning this process is correct? (There may be more than one correct choice.)

Accepted Answer

A)  The entropy lost by the iron is equal to the entropy gained by the ocean. 
B)  The entropy gained by the iron is equal to the entropy lost by the ocean. 
C)  The change in the entropy of the iron-ocean system is zero. 
D)  The ocean gains more entropy than the iron loses. 
E)  The ocean gains less entropy than the iron loses.

Exam 19: The Second Law of Thermodynamics