Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 21, Problem 82PQ
To determine
Whether ratio
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A certain diatomic gas has the same specific heats as an ideal gas but a slightly
different equation of state: PV = R(T + αT²), α = 0.001K¯¹. The temperature of the gas is
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higher than what would be on an ideal gas. Choose the correct statement(s).
A. T₂ = 400K internal energy increases by 250R/mole
B. T₂ = 400K internal energy increases by 350R/mole
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D. Total heat absorbed in the process is 520R/mole
A sample of ideal gas in a thermally insulated container with a movable piston is initially in state A. The gas is taken from state A to state B by an adiabatic process. The dashed lines represent isotherms. If W is the work done on the gas, Q is the energy transferred to the gas by heating, and Delta U be the change in the internal energy of the gas during the process.
a) is W greater than zero, zero, or less than zero? Explain briefly
b) is Q greater than zero, zero, or less than zero? Explain briefly.
c) is Delta U greater than zero, zero, or less than zero? Explain briefly.
Chapter 21 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 21.2 - Incorrect. Heat is not contained in Texas. The...Ch. 21.3 - In each situation listed, an objects temperature...Ch. 21.4 - Prob. 21.3CECh. 21.4 - Prob. 21.4CECh. 21.7 - Prob. 21.5CECh. 21.7 - Prob. 21.6CECh. 21.7 - Prob. 21.7CECh. 21.7 - Prob. 21.8CECh. 21.7 - Prob. 21.9CECh. 21 - Prob. 1PQ
Ch. 21 - Prob. 2PQCh. 21 - You extend an impromptu invitation to a friend for...Ch. 21 - Prob. 4PQCh. 21 - Prob. 5PQCh. 21 - Prob. 6PQCh. 21 - Prob. 7PQCh. 21 - Prob. 8PQCh. 21 - Prob. 9PQCh. 21 - Prob. 10PQCh. 21 - Prob. 11PQCh. 21 - Prob. 12PQCh. 21 - Prob. 13PQCh. 21 - Prob. 14PQCh. 21 - Prob. 15PQCh. 21 - Prob. 16PQCh. 21 - Prob. 17PQCh. 21 - Prob. 18PQCh. 21 - Prob. 19PQCh. 21 - From Table 21.1, the specific heat of milk is 3.93...Ch. 21 - Prob. 21PQCh. 21 - Prob. 22PQCh. 21 - An ideal gas is confined to a cylindrical...Ch. 21 - Prob. 24PQCh. 21 - You place frozen soup (T = 17C) in a microwave...Ch. 21 - A 25-g ice cube at 0.0C is heated. After it first...Ch. 21 - Prob. 27PQCh. 21 - Prob. 28PQCh. 21 - Prob. 29PQCh. 21 - Prob. 30PQCh. 21 - Consider the latent heat of fusion and the latent...Ch. 21 - Prob. 32PQCh. 21 - Prob. 33PQCh. 21 - A thermodynamic cycle is shown in Figure P21.34...Ch. 21 - Prob. 35PQCh. 21 - Figure P21.36 shows a cyclic thermodynamic process...Ch. 21 - Figure P21.37 shows a PV diagram for a gas that is...Ch. 21 - Prob. 38PQCh. 21 - Prob. 39PQCh. 21 - Prob. 40PQCh. 21 - Prob. 41PQCh. 21 - Prob. 42PQCh. 21 - Prob. 43PQCh. 21 - Prob. 44PQCh. 21 - Figure P21.45 shows a cyclic process ABCDA for...Ch. 21 - Prob. 46PQCh. 21 - Prob. 47PQCh. 21 - Prob. 48PQCh. 21 - Prob. 49PQCh. 21 - Prob. 50PQCh. 21 - Prob. 51PQCh. 21 - Prob. 52PQCh. 21 - Prob. 53PQCh. 21 - Prob. 54PQCh. 21 - Prob. 55PQCh. 21 - You extend an impromptu invitation to a friend for...Ch. 21 - Prob. 57PQCh. 21 - Prob. 58PQCh. 21 - A lake is covered with ice that is 2.0 cm thick....Ch. 21 - A concerned mother is dressing her child for play...Ch. 21 - Prob. 61PQCh. 21 - Prob. 62PQCh. 21 - Prob. 63PQCh. 21 - Prob. 64PQCh. 21 - Prob. 65PQCh. 21 - Prob. 66PQCh. 21 - Prob. 67PQCh. 21 - Prob. 68PQCh. 21 - Three 100.0-g ice cubes initially at 0C are added...Ch. 21 - Prob. 70PQCh. 21 - Prob. 71PQCh. 21 - Prob. 72PQCh. 21 - Prob. 73PQCh. 21 - Prob. 74PQCh. 21 - Prob. 75PQCh. 21 - Prob. 76PQCh. 21 - Prob. 77PQCh. 21 - Prob. 78PQCh. 21 - How much faster does a cup of tea cool by 1C when...Ch. 21 - The PV diagram in Figure P21.80 shows a set of...Ch. 21 - Prob. 81PQCh. 21 - Prob. 82PQCh. 21 - Prob. 83PQCh. 21 - Prob. 84PQCh. 21 - Prob. 85PQ
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- A thermodynamic cycle is shown in Figure P21.34 for a gas in a piston. The system changes states along the path ABCA. a. What is the total work done by the gas during this cycle? b. How much heat is transferred? Does heat flow into or out of the system? Figure P21.34arrow_forwardFigure P21.37 shows a PV diagram for a gas that is compressed from Vi to Vf. Find the work done by the a. gas and b. environment during this process. Does energy enter the system or leave the system as a result of work? FIGURE P21.37arrow_forwardFigure P21.45 shows a cyclic process ABCDA for 1.00 mol of an ideal gas. The gas is initially at Pi = 1.50 105 Pa, Vi = 1.00 103 m3 (point A in Fig. P21.45). a. What is the net work done on the gas during the cycle? b. What is the net amount of energy added by heat to this gas during the cycle? FIGURE P21.45arrow_forward
- A 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_forwardFigure P21.36 shows a cyclic thermodynamic process ABCA for an ideal gas. a. What is the net energy transferred into the system by heat during each cycle? b. What would be the net energy transferred into the system by heat if the cycle followed the path ACBA instead? FIGURE P21.36 FIGURE P21.37arrow_forwardThe arrow OA in the PV diagram shown in Figure OQ22.11 represents a reversible adiabatic expansion of an ideal gas. The same sample of gas, starting from the same state O. now undergoes an adiabatic free expansion to the same final volume. What point on the diagram could represent the final state of the gas? (a) the same point A as for the reversible expansion (b) point B (c) point C (d) any of those choices (e) none of those choicesarrow_forward
- In Figure P19.22, the change in internal energy of a gas that is taken from A to C along the blue path is +800 J. The work done on the gas along the red path ABC is 500 J. (a) How much energy must be added to the system by heat as it goes from A through B to C? (b) If the pressure at point A is five times that of point C, what is the work done on the system in going from C to D? Figure P19.22 (c) What is the energy exchanged with the surroundings by heat as the gas goes from C to A along the green path? (d) If the change in internal energy in going from point D to point A is +500 J, how much energy must be added to the system by heat as it goes from point C to point D?arrow_forwardFigure P22.73 illustrates the cycle ABCA for a 2.00-mol sample of an ideal diatomic gas, where the process CA is a reversible isothermal expansion. What is a. the net work done by the gas during one cycle? b. How much energy is added to the gas by heat during one cycle? c. How much energy is exhausted from the gas by heat during one cycle? d. What is the efficiency of the cycle? e. What would be the efficiency of a Carnot engine operated between the temperatures at points A and B during each cycle?arrow_forwardOne mole of an ideal monatomic gas occupies a volume of 1.0102 m3 at a pressure of 2.0105 N/m2. (a) What is the temperature of the gas? (b) The gas undergoes a quasi-static adiabatic compression until its volume is decreased to 5.0103 m3. is the new gas temperature? (c) How much work is done on the gas during the compression? (d) What is the change in the internal energy of the gas?arrow_forward
- A cylinder is closed at both ends and has insulating EZZ3 walls. It is divided into two compartments by an insulating piston that is perpendicular to the axis of the cylinder as shown in Figure P21.75a. Each compartment contains 1.00 mol of oxygen that behaves as an ideal gas with = 1.40. Initially, the two compartments haw equal volumes and their temperatures are 550 K and 250 K. The piston is then allowed to move slowly parallel to the axis of the cylinder until it comes to rest at an equilibrium position (Fig. P2l.75b). Find the final temperatures in the two compartments.arrow_forwardAn ideal gas with specific heat ratio confined to a cylinder is put through a closed cycle. Initially, the gas is at Pi, Vi, and Ti. First, its pressure is tripled under constant volume. It then expands adiabatically to its original pressure and finally is compressed isobarically to its original volume. (a) Draw a PV diagram of this cycle. (b) Determine the volume at the end of the adiabatic expansion. Find (c) the temperature of the gas at the start of the adiabatic expansion and (d) the temperature at the end of the cycle. (e) What was the net work done on the gas for this cycle?arrow_forwardIf 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_forward
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