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physics
particle physics
Questions and Answers of
Particle Physics
A sample of hydrogen gas that contains \(1.00 \mathrm{~mol}\) of \(\mathrm{H}_{2}\) molecules at a temperature of \(300 \mathrm{~K}\) and a pressure of \(60.0 \mathrm{kPa}\) undergoes an isochoric
Experimentally one obtains \(C_{P}=4.844 \times 10^{-23} \mathrm{~J} / \mathrm{K}\) for nitrogen gas at room temperature. (a) Calculate the heat capacity ratio \(\gamma\) for a gas of nitrogen
An ideal gas sample is compressed quasistatically at constant temperature. The initial pressure and volume are \(P_{\mathrm{i}}=1.01 \times 10^{5} \mathrm{~Pa}\) and \(V_{\mathrm{i}}=3.00 \times
Figure 20.38 shows two quasistatic processes that take a sample of an ideal gas containing \(N\) particles from an initial state \(\left(P_{i}, V_{i}\right)\) to a final state \(\left(P_{f},
Figure P21.1 shows a gas confined to a cylinder fitted with a movable piston. The cylinder is immersed in a tank of water that acts as a thermal reservoir, so that the temperature of the gas never
Draw an energy input-output diagram for a steady device that partially converts thermal energy to work, drawing your input and output arrows such that their relative sizes indicate the relative
The snowboarder in Figure P21.3 starts at the top of a snow-covered hill and boards down the hill, which produces a change in entropy \(\Delta S_{1}\). At the bottom, she slides over a patch of
For the steady device shown in Figure P21.4, determine the values of \(W_{\text {in }}\) and \(Q_{\text {in }}\).Data from Figure P21.4 W = ? Qin = ? W out=320J
A source adds \(150 \mathrm{~J}\) of thermal energy to a steady device while \(275 \mathrm{~J}\) of work is done on the device. The device is in contact with its environment. Without specifying
A \(5.3-\mathrm{kg}\) ball is dropped from a height of \(2.0 \mathrm{~m}\) into a vat of water. The impact produces \(0.80 \mathrm{~J}\) of sound energy, the ball gains \(4.50 \mathrm{~J}\) of
A steady device operates on the 600 -W output of a motor. The device runs at \(20 \mathrm{~Hz}\) and can convert \(68 \%\) of its input to usable power to pump water. (a) How much thermal energy does
Three reservoirs of heated water are represented on the entropy diagram in Figure P21.8. All three reservoirs contain equal amounts of energy, so that \(E_{1}=E_{2}=E_{3}\). (a) For which reservoir
The entropy of material 1 varies as \(S_{1}=2 \gamma E^{2}\), where \(\gamma\) is a constant, and the entropy of material 2 varies as \(S_{2}=\gamma E^{3} / 9\). With \(E=4\) units of energy, which
A reversible steady device operates between two thermal reservoirs, one at \(390 \mathrm{~K}\) and one at \(250 \mathrm{~K}\). If no work is done on the device, what is the maximum value for the
A thermal reservoir has entropy gradient \(d S / d E=b E^{3}\), where \(b=2.00 \mathrm{~J}^{-4}\). At \(E=3.00 \mathrm{MJ}\), what is the temperature of the reservoir?
Consider two reservoirs at unknown temperatures. The entropy of reservoir 1 is defined by the function \(S_{1}=a E^{2}\), where \(a=1.00 \mathrm{~J}^{-2}\), and that of reservoir 2 is defined by the
Draw an entropy diagram for a reversible steady device that takes seawater at \(29^{\circ} \mathrm{C}\) and upgrades as much energy as possible to a reservoir filled with water at \(100^{\circ}
A composite of several processes that take place in a steady device is represented by the entropy diagram in Figure P21.14. What is \(\Delta S\) for the composite?Data from Figure P21.14 Q(10J) Lin 5
A reversible steady device puts out \(W_{\text {out }}=750 \mathrm{~J}\) of mechanical energy. The only input energy is the quantity \(Q_{\text {in }}\) transferred thermally from a thermal reservoir
The energy input-output diagram for a heat pump is shown in Figure P21.16. What are (a) the value of \(Q_{\text {in }}\), (b) the coefficient of performance of heating, and (c) the coefficient of
Three identical steady devices, A, B, and C, operate between three thermal reservoirs, 1,2 , and 3 , as shown in Figure P21.17. Each device takes thermal energy from the warmer of its two reservoirs,
Figure P21.18 shows PV diagrams for four thermodynamic cycles. In each case, the cycle consists of three or four processes carried out on identical working substances, and each process is isothermal,
Which of the four thermodynamic cycles illustrated in Figure P21.18 has the greatest efficiency? Data from Figure P21.18 (a) P (b) P PH (c) P 1 41 PL 23 2 3 V 2 (d) P +V V 1 3. PL V
Two thermodynamic processes, each involving the same type and amount of monatomic gas as a working substance and each working as a heat engine, begin and end their cycles from a common state:
The working substance in a steady device is a gas that undergoes expansion followed by compression. The work done by the gas during expansion is \(6.4 \mathrm{~J}\), and the work done on it during
What is the entropy change in the environment when 5. 0 MJ of energy is transferred thermally from a reservoir at \(1000 \mathrm{~K}\) to one at \(500 \mathrm{~K}\) ?
In one cycle, a steady device transfers \(1.55 \times 10^{6} \mathrm{~J}\) of thermal energy from a reservoir at \(450 \mathrm{~K}\) to a reservoir at \(300 \mathrm{~K}\). Calculate the entropy
Draw an entropy diagram for a steady device that in each cycle converts \(135 \mathrm{~J}\) of work to thermal energy that is released into a reservoir at \(340 \mathrm{~K}\). Calculate numerical
An ideal gas is held at \(70 \mathrm{~K}\) in a cylinder fitted with a movable piston. When a \(5.0-\mathrm{kg}\) cube is placed on the piston, the piston slides down a distance of \(200
Processes A and B in Figure P21.26 each transfer energy thermally. If the energies transferred thermally by the two processes are related by \(Q_{A}=\sqrt{2} \times Q_{B}\), and process A causes
What is the maximum efficiency of a reversible heat engine that transfers energy from a \(373 \mathrm{~K}\) reservoir to a \(273 \mathrm{~K}\) reservoir?
A heat engine takes in \(6.45 \times 10^{3} \mathrm{~J}\) of thermal energy from a reservoir at \(500 \mathrm{~K}\) and returns some of this energy to a reservoir at \(T_{1}
A reversible heat pump takes in thermal energy from a reservoir at \(273 \mathrm{~K}\) and expels thermal energy to a reservoir at \(320 \mathrm{~K}\). How much energy does the pump expel for every
A heat pump used to heat a house has a coefficient of performance of heating of 5. 4 . Over \(24 \mathrm{~h}\), the house needs to receive \(2.4 \mathrm{GJ}\) of thermal energy from the pump to keep
A heat engine does \(85 \mathrm{~J}\) of work per cycle while expelling \(110 \mathrm{~J}\) of waste thermal energy. How much energy is transferred thermally to this engine each cycle, and what is
Energy input-output diagrams for two heat pumps are shown in Figure P21.32. What are (a) \(Q_{\text {out }}\) for pump 1 and (b) \(W_{\text {in }}\) for pump 2?Data from Figure P21.32 Q = 4.0J Qin
The heat engine represented by the \(P V\) diagram in Figure P21.33 exhausts \(43.5 \mathrm{~kJ}\) of thermal energy per cycle. What is the engine's efficiency?Data from Figure P21.33 P (atm) 3 2 0 V
During each cycle, a heat engine ejects \(75 \mathrm{~J}\) of thermal energy for every \(115 \mathrm{~J}\) of input thermal energy. This engine is used to lift a \(375-\mathrm{kg}\) load a vertical
In winter, you like to keep your house interior at \(21.0^{\circ} \mathrm{C}\). Your geothermal heating system, which was advertised as being reversible, draws thermal energy from an underground
An engine has a rated maximum efficiency of 0. 22 when burning a certain fuel, but the manufacturer claims that burning a new type of fuel will increase the maximum efficiency. In testing this claim,
For a heat pump that operates on a Carnot cycle, calculate (a) the coefficient of performance of cooling when the pump is used to cool a house to \(72{ }^{\circ} \mathrm{F}\) on a day when the
Reversible heat engines 1 and 2 are connected to each other in such a way that the output temperature of engine 1 is the input temperature of engine \(2, T_{\text {lout }}=T_{2 \text { in }}\), and
On a day when the outdoor temperature is \(35^{\circ} \mathrm{C}\), a walkin freezer in a butcher shop where there is no airconditioning must remove \(3000 \mathrm{~J}\) of thermal energy from its
The internal temperature of a freezer is \(269 \mathrm{~K}\), and the temperature of the cooling coils on the back of the freezer is \(325 \mathrm{~K}\).(a) What is the maximum coefficient of
How much work is done by a Carnot cycle that doubles the volume of \(1.00 \mathrm{~mol}\) of a monatomic ideal gas during isothermal expansion and triples the initial temperature of \(0.0^{\circ}
An automobile manufacturer determines that, on a summer day when the ambient temperature is \(311 \mathrm{~K}\), the temperature inside their new, ready-to-deliver cars reaches \(339 \mathrm{~K}\)
A heat engine that operates on a Carnot cycle has an efficiency of 0. 480 when its low-temperature reservoir is at \(10^{\circ} \mathrm{C}\). By how many degrees Celsius must you increase the
A heat engine operates on a Carnot cycle that runs clockwise between a reservoir at \(340 \mathrm{~K}\) and a reservoir at \(280 \mathrm{~K}\). One cycle moves enough energy from the hightemperature
The Carnot cycle shown in Figure P21.45 uses \(1.00 \mathrm{~mol}\) of a monatomic ideal gas as its working substance. From the information given in the graph, determine the values of \(P_{1}, P_{2},
Carnot cycles A and B run on the same amount of the same working substance and draw their thermal energy from the same high-temperature reservoir. The two cycles start with their working substances
Heat engines 1 and 2 operate on Carnot cycles, and the two have the same efficiency. Engine 1 takes in boiling water at \(373 \mathrm{~K}\) and outputs water that is twice as hot as the output water
A heat pump that operates on a Carnot cycle cools a house in a very hot climate. During the hottest part of the day, the outside temperature is \(45^{\circ} \mathrm{C}\), and you want to keep the
A heat pump that operates on a Carnot cycle uses \(\mathrm{N}_{2}\) gas and operates on electricity. (a) At what rate is it using electrical energy when it adds thermal energy at a rate of \(1.35
To meet energy regulations, the coefficient of performance of cooling of a refrigerator that operates on a Carnot cycle must be 4. 00 . At what rate is this refrigerator expelling thermal energy into
A heat engine that operates on a Carnot cycle uses a lowtemperature reservoir at \(25^{\circ} \mathrm{C}\) and runs at an efficiency of 0. 350 . The working substance is nitrogen gas, and the gas
An electric heat pump used as a heater operates on a Carnot cycle. The low-temperature reservoir consists of a pipe driven \(10 \mathrm{~m}\) into the ground to a region where the temperature is
The temperature of Earth's oceans at a depth of \(2500 \mathrm{~m}\) is about \(4{ }^{\circ} \mathrm{C}\). Suppose you want to use this water as the low-temperature thermal reservoir for an electric
An experimental six-cylinder engine that operates on a Carnot cycle has been proposed for a car. Each cylinder is fitted with a movable piston that allows the cylinder to fill with \(1.00
A freezer that operates on a Carnot cycle maintains an interior temperature of \(-18{ }^{\circ} \mathrm{C}\) and exhausts thermal energy into a kitchen at \(22^{\circ} \mathrm{C}\). You place a tray
Determine \(T_{4}\) for the Brayton cycle represented in Figure P21.56.Data from Figure P21.56 P 400 K 750 K T 5.50 K V
An engine that operates on a Brayton cycle uses oxygen gas (diatomic molecules, \(\mathrm{O}_{2}\) ) as the working substance. During the isobaric cooling, the temperature decreases by \(85^{\circ}
A gas engine that operates on a Brayton cycle has an efficiency of 0. 22 . On a cold day, the temperature of the air drawn into the engine is \(267 \mathrm{~K}\). What is the temperature of the air
An experimental car engine operates on a Brayton cycle and uses a monatomic ideal gas as the working substance. If the pressure in front of the moving car is \(103,500 \mathrm{~Pa}\) and the pressure
An engine that operates on a Brayton cycle uses air as its working substance, compressing ambient air initially at a pressure of \(1.0 \mathrm{~atm}\) to \(6.0 \mathrm{~atm}\). (a) What is the
A heat engine that operates on a Brayton cycle has a pressure ratio of 5 and uses as its working substance a gas for which the heat capacity ratio \(C_{P} / C_{V}\) is 1. 333 . You wish to replace
You need to replace a heat engine that operates on a Carnot cycle with one that has the same efficiency but operates on a Brayton cycle. The Carnot engine low and high temperatures are \(-10{
A heat engine that operates on a Brayton cycle uses \(\mathrm{N}_{2}\) gas and has a pressure ratio of 10 . It is being used to lift a \(535-\mathrm{kg}\) pallet of bricks vertically at a steady rate
You need to design a heat engine that operates on a Brayton cycle and, during each cycle, does \(175 \mathrm{~J}\) of work while exhausting \(65 \mathrm{~J}\) of energy. (a) If the working substance
If the Brayton cycle represented in Figure P21.65 operates on \(4.0 \mathrm{~mol}\) of an ideal gas, how many degrees of freedom do the particles of the gas have?Data from Figure P21.65 P (kPa) 300
You are designing a gas engine that operates on a Brayton cycle and uses air \((\gamma=1.4)\) as its working substance. By making the engine larger and larger, you can have the pressure ratio be
A thermal reservoir is held at \(265 \mathrm{~K}\). If \(4180 \mathrm{~J}\) of energy is transferred thermally to it, what is the change in entropy of the reservoir?
The entropy of a system is increased by \(3.8 \times 10^{21}\) for every \(10 \mathrm{~J}\) of energy added to it. What is the temperature of this system?
In the past 40 years, the average power a refrigerator requires to provide a given amount of cooling has dropped from \(160 \mathrm{~W}\) to \(40 \mathrm{~W}\). By what factor has the COP of cooling
A \(1000-\mathrm{kg}\) iceberg at \(0^{\circ} \mathrm{C}\) falls into the ocean at a location where the water temperature is \(2^{\circ} \mathrm{C}\), and all the ice melts by absorbing thermal
The low-temperature reservoir for a heat engine that operates on a Carnot cycle is at \(-5^{\circ} \mathrm{C}\). Using only \(1.00 \mathrm{MJ}\) of thermal energy, this engine needs to pull a
An electric heat pump that operates on a Carnot cycle is used to cool a house interior to \(20^{\circ} \mathrm{C}\) on a day when the outside temperature is \(38^{\circ} \mathrm{C}\). (a) For every
A Carnot heat engine in a factory operates at an efficiency of 0. 33 when it takes in thermal energy from a reservoir of heated water and releases thermal energy into the \(28^{\circ} \mathrm{C}\)
A heat engine that operates on a Carnot cycle is used to pump water out of a well that is \(45.0 \mathrm{~m}\) deep. The hightemperature reservoir for the heat engine is at \(215^{\circ}
An electric heat pump that operates on a Carnot cycle is used to keep the air in a laboratory chamber at a constant \(35^{\circ} \mathrm{C}\) by extracting energy from outside air that is at
A heat pump that operates on a Carnot cycle must deliver thermal energy to your house at a rate of \(12.5 \mathrm{~kW}\) to keep the rooms at \(22^{\circ} \mathrm{C}\). The pump uses outside air at
The thermal gradient of Earth's crust is approximately \(25 \mathrm{~K} / \mathrm{km}\) at locations away from tectonic plate boundaries. Suppose you want to use this thermal gradient to run a heat
The average daytime temperature at the surface of the Moon is \(380 \mathrm{~K}\), and the temperature of the lunar core is estimated at \(1000 \mathrm{~K}\). Suppose you want to run a heat engine
A heat engine that operates on a Carnot cycle has efficiency \(\eta\). When the engine is run in reverse as a heat pump, what are, in terms of \(\eta\) (a) the coefficient of performance of cooling
A heat engine that operates on a Carnot cycle is used to pump crude oil at a rate of 25,000 barrels/day from a well that is \(1.70 \mathrm{~km}\) deep. The mass density of the oil is \(850
A heat engine that operates on a Carnot cycle between \(150{ }^{\circ} \mathrm{C}\) and \(10^{\circ} \mathrm{C}\) is used to accelerate a flywheel from rest to a rotational speed of \(8.50
A \(950-\mathrm{kg}\) car uses an engine that operates on a Brayton cycle for which the pressure ratio is 8 and the working substance is helium (He) gas. During each cycle, \(25 \%\) of the work done
The Brayton cycle represented in Figure P21.83 operates with \(2.00 \mathrm{~mol}\) of working substance. How many degrees of freedom does each particle of the working substance have? Data from
You have taken a job as a patent examiner, and your first assignment is to evaluate a "zero-point energy perpetual motion machine." You are skeptical, but after the applicant gives it an initial
Working for an automotive journal, you are reviewing two proposed new models that have identical frame shapes and identical masses. Car 1 runs on a Brayton cycle that does enough work to accelerate
You work for a toy company that wants to produce a bathtub toy boat that operates on a Carnot cycle and slowly putts around the bathtub. It is assumed that the temperature of the bathwater will be
Describe the energy transfers in Figure 21. 34. What is implied about the energy of the system?Data from Figure 21. 34 (a) W W (b) W Qu Lin
Describe the energy conversions in Figure 21.35. Which are possible?Data from Figure 21. 35 (a) (b) W>0 Q Lin W 0 Lout
Write the ratios for the efficiency of a heat engine, the coefficients of performance of cooling for a refrigerator, and the coefficients of performance of heating a room using a heat pump in terms
Figure 21. 36 shows an ideal gas cycle consisting of two isotherms and two isochores. Complete the table by writing the algebraic signs of each of the terms \(\Delta E, W\), and \(Q\). If a term is
Consider the device illustrated in Figure 21.3. A string is attached to a paddle wheel that is immersed in a viscous liquid in a container. As the string is pulled, the paddle wheel rotates at
Suppose the person pulling the string in Figure 21.13 does work \(W\) on the device immersed in a thermal reservoir \(\mathrm{R}\) at temperature \(T_{R}\).(a) Do the energy and entropy of the
A reversible heat engine converts energy taken from a thermal reservoir at temperature \(T_{\text {in }}\) by doing work on the environment and thermally transferring energy to a thermal reservoir at
For a set temperature \(T_{\text {in }}\) of a refrigerator interior, does the coefficient of performance of cooling increase, decrease, or stay the same as the temperature \(T_{\text {out }}\) of
A steel bar transfers energy from a thermal reservoir at \(750 \mathrm{~K}\) to one at \(520 \mathrm{~K}\). If the bar transfers \(1.5 \times 10^{6} \mathrm{~J}\) of energy during a certain time
A power plant burns fossil fuel to produce steam at \(650 \mathrm{~K}\). The pressurized steam drives a steam turbine, where the steam condenses to water and is discarded at \(310 \mathrm{~K}\). What
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