College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 12, Problem 2CQ
Which one of the following statements is true? (a) The path on a PV diagram always goes from the smaller volume to the larger volume. (b) The path on a PV diagram always goes from the smaller pressure to the larger pressure. (c) The area under the path on a PV diagram is always equal to the work done on a gas. (d) The area under the path on a PV diagram is always equal in magnitude to the work done on a gas.
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An ideal diatomic gas has an initial pressure of 1.00×10°Pa , an initial volume of 2.00m', and
an initial temperature of 300K. (This is point 1 on the pV-diagram.) The gas has an isochoric
increase in pressure to 2.00×10°P. . (This is point 2 on the pV-diagram.) The gas then has an
isothermal expansion to a volume of 3.00m'. (This is point 3 on the pV-diagram.) The pressure
is then reduced adiabatically back down to its original pressure of 1.00×10°P.. (This is point 4
on the pV-diagram.) Finally, the gas has an isobaric decrease in volume to its original volume of
2.00m. (The gas is back to point 1 on the pV-diagram.)
а.
Fill in the missing values on the following table.
Point
Volume,
Pressure,
Temperature,
v (m²)
p(10ʻPA)
T(K)
1
2.00
1.00
300
2
2.00
3
3.00
4
1.00
b. Fill in the values for each of the processes in the following table. (These values
correspond to the First Law of Thermodynamics written as: AE, =W +Q.)
Process
Change in internal
Work done to gas,
Heat added to gas,…
Two containers each hold 1 mole of an ideal gas at 1 atm. Container A holds a monatomic gas and container B holds a diatomic gas. The volume of each container is halved while the pressure is held constant. (Assume the initial volumes of containers A and B are equal.)
(c)
What is the ratio
QA
QB
of the energy transferred to gases A and B?
An ideal gas in a container with a sliding piston is held at atmospheric pressure. Heat is added and the volume increases from 1 m^3 to 3 m^3. The initial temp of the gas is 0 degrees celcius.
Question A: How many moles of gas are in this container?
Question B: How much work does the gas perform on the piston? Please answer in J
Question C: What is the final temperature of the gas? Please answer in degrees celcius
Question D: what is the change in internal energy of the gas? Please answer in J
Question E: How much heat was added to the gas? Please answer in J
Chapter 12 Solutions
College Physics
Ch. 12.1 - By visual inspection, order the PV diagrams shown...Ch. 12.3 - Identify the paths A, B, C, and D in Figure 12.11...Ch. 12.4 - Three engines operate between reservoirs separated...Ch. 12.5 - Which of the following is true for the entropy...Ch. 12.5 - Prob. 12.5QQCh. 12 - Two identical containers each hold 1 mole of an...Ch. 12 - Which one of the following statements is true? (a)...Ch. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - For an ideal gas in an isothermal process, there...
Ch. 12 - An ideal gas undergoes an adiabatic process so...Ch. 12 - Is it possible to construct a heat engine that...Ch. 12 - A heat engine does work Weng while absorbing...Ch. 12 - When a sealed Thermos bottle full of hot coffee is...Ch. 12 - The first law of thermodynamics is U = Q + W. For...Ch. 12 - The first law of thermodynamics says we cant get...Ch. 12 - Objects A and B with TA TB are placed in thermal...Ch. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - An ideal gas is compressed to half its initial...Ch. 12 - A thermodynamic process occurs in which the...Ch. 12 - Prob. 17CQCh. 12 - An ideal gas is enclosed in a cylinder with a...Ch. 12 - Sketch a PV diagram and find the work done by the...Ch. 12 - Gas in a container is at a pressure of 1.5 atm and...Ch. 12 - Find the numeric value of the work done on the gas...Ch. 12 - A gas expands from I to F along the three paths...Ch. 12 - A gas follows the PV diagram in Figure P12.6. Find...Ch. 12 - A sample of helium behaves as an ideal gas as it...Ch. 12 - (a) Find the work done by an ideal gas as it...Ch. 12 - One mole of an ideal gas initially at a...Ch. 12 - (a) Determine the work done on a fluid that...Ch. 12 - A balloon holding 5.00 moles of helium gas absorbs...Ch. 12 - A chemical reaction transfers 1250 J of thermal...Ch. 12 - Prob. 13PCh. 12 - A cylinder of volume 0.300 m3 contains 10.0 mol of...Ch. 12 - A gas expands from I to F in Figure P12.5. The...Ch. 12 - In a running event, a sprinter does 4.8 105 J of...Ch. 12 - A gas is compressed at a constant pressure of...Ch. 12 - A quantity of a monatomic ideal gas undergoes a...Ch. 12 - A gas is enclosed in a container fitted with a...Ch. 12 - A monatomic ideal gas under-goes the thermodynamic...Ch. 12 - An ideal gas is compressed from a volume of Vi =...Ch. 12 - A system consisting of 0.025 6 moles of a diatomic...Ch. 12 - An ideal monatomic gas expands isothermally from...Ch. 12 - An ideal gas expands at constant pressure. (a)...Ch. 12 - An ideal monatomic gas contracts in an isobaric...Ch. 12 - An ideal diatomic gas expands adiabatically from...Ch. 12 - An ideal monatomic gas is contained in a vessel of...Ch. 12 - Consider the cyclic process described by Figure...Ch. 12 - A 5.0-kg block of aluminum is heated from 20C to...Ch. 12 - One mole of gas initially at a pressure of 2.00...Ch. 12 - A gas increases in pressure from 2.00 atm to 6.00...Ch. 12 - An ideal gas expands at a constant pressure of...Ch. 12 - A heat engine operates between a reservoir at 25C...Ch. 12 - A heat engine is being designed to have a Carnot...Ch. 12 - The work done by an engine equals one-fourth the...Ch. 12 - In each cycle of its operation, a heat engine...Ch. 12 - One of the most efficient engines ever built is a...Ch. 12 - A lawnmower engine ejects 1.00 104 J each second...Ch. 12 - An engine absorbs 1.70 kJ from a hot reservoir at...Ch. 12 - A heat pump has a coefficient of performance of...Ch. 12 - A freezer has a coefficient of performance of...Ch. 12 - Prob. 42PCh. 12 - In one cycle a heat engine absorbs 500 J from a...Ch. 12 - A power plant has been proposed that would make...Ch. 12 - Prob. 45PCh. 12 - A heat engine operates in a Carnot cycle between...Ch. 12 - A Styrofoam cup holding 125 g of hot water at 1.00...Ch. 12 - A 65-g ice cube is initially at 0.0C. (a) Find the...Ch. 12 - A freezer is used to freeze 1.0 L of water...Ch. 12 - What is the change in entropy of 1.00 kg of liquid...Ch. 12 - A 70.0-kg log falls from a height of 25.0 m into a...Ch. 12 - A sealed container holding 0.500 kg of liquid...Ch. 12 - Prob. 53PCh. 12 - When an aluminum bar is temporarily connected...Ch. 12 - Prepare a table like Table 12.3 for the following...Ch. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Sweating is one of the main mechanisms with which...Ch. 12 - Prob. 60PCh. 12 - Suppose a highly trained athlete consumes oxygen...Ch. 12 - A Carnot engine operates between the temperatures...Ch. 12 - Prob. 63APCh. 12 - A Carnot engine operates between 100C and 20C. How...Ch. 12 - A substance undergoes the cyclic process shown in...Ch. 12 - When a gas follows path 123 on the PV diagram in...Ch. 12 - Prob. 67APCh. 12 - An ideal gas initially at pressure P0, volume V0,...Ch. 12 - One mole of neon gas is heated from 300. K to 420....Ch. 12 - Every second at Niagara Falls, approximately 5.00 ...Ch. 12 - A cylinder containing 10.0 moles of a monatomic...Ch. 12 - Prob. 72APCh. 12 - Suppose you spend 30.0 minutes on a stair-climbing...Ch. 12 - Hydrothermal vents deep on the ocean floor spout...Ch. 12 - An electrical power plant has an overall...Ch. 12 - A diatomic ideal gas expands from a volume of VA =...
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- If a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases. (d) The internal energy of the gas remains constant. (e) None of those statements is true.arrow_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68arrow_forward
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- A sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).arrow_forwardA gas expands from I to F in the figure below. The energy added to the gas by heat is 422 J when the gas goes from I to F along the diagonal path. Three paths are plotted on a PV diagram, which has a horizontal axis labeled V (liters), and a vertical axis labeled P (atm). The green path starts at point I (2,4), extends vertically down to point B (2,1), then extends horizontally to point F (4,1). The blue path starts at point I (2,4), and extends down and to the right to end at point F (4,1). The orange path starts at point I (2,4), extends horizontally to the right to point A (4,4), then extends vertically down to end at point F (4,1). (a) What is the change in internal energy of the gas? J(b) How much energy must be added to the gas by heat for the indirect path IAF to give the same change in internal energy? Jarrow_forwardA student is asked to sketch a pV diagram for a gas that goes through a cycle consisting of (a) an isobaric expansion, (b) a constant-volume reduction in temperature, and (c) an isothermal process that returns the gas to its initial state. The student draws the diagram shown in the figure. What, if anything, is wrong with the student's diagram?arrow_forward
- The ideal gas law is a very simple mathematical relationship that relates several physical properties of a gas. This law is only valid when the behavior of a gas is idealized according to three principal assumptions. (i) State the three assumptions made about an ideal gas, and for each assumption (ii) explain which physical property of a gas would be affected if that assumption was not made.arrow_forwardA cylinder with initial volume V contains a sample of a gas at pressure p. On one end of the cylinder, piston is let free to move so that the gas slowly expands in such a way that its pressure is directly proportional to its volume. After the gas reaches the volume 3V and pressure 3p, the piston is pushed in so that the gas is compressed isobarically to its original volume V. The gas is then cooled isochorically until it returns to the original volume and pressure. Find the work W done on the gas during the entire process. VISUALIZE Show the process on a pV diagram. Note whether it happens to be one of the basic gas processes: isochoric, isobaric, or isothermal. SOLVE Calculate the work as the area under the pV curve either geometrically or by carrying out the integration: work done on the gas W REVIEW Check your signs. W> 0 when the gas is compressed. Energy is transferred from the environment to the gas. • W <0 when the gas expands. Energy is transferred from the gas to the…arrow_forwardA gas expands from I to F in the figure below. The energy added to the gas by heat is 212 J when the gas goes from I to F along the diagonal path. Three paths are plotted on a PV diagram, which has a horizontal axis labeled V (liters), and a vertical axis labeled P (atm). The green path starts at point I (2,4), extends vertically down to point B (2,1), then extends horizontally to point F (4,1). The blue path starts at point I (2,4), and extends down and to the right to end at point F (4,1). The orange path starts at point I (2,4), extends horizontally to the right to point A (4,4), then extends vertically down to end at point F (4,1). (a) What is the change in internal energy of the gas? Use the relations between various features of the graph and the work done on the gas to find the energy added by work and then use your result to find the change in internal energy of the gas. J(b) How much energy must be added to the gas by heat for the indirect path IAF to give the same change in…arrow_forward
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