(a)
The temperature at B and C.
(a)
Answer to Problem 47PQ
The temperature at B is
Explanation of Solution
Given that the pressure at point A is
Write the expression for the temperature at
Here,
Write the expression for the temperature at C from ideal gas equation.
Here,
Conclusion:
Substitute
Point
Substitute
Therefore, the temperature at B is
(b)
The total work done on the gas during one cycle.
(b)
Answer to Problem 47PQ
The total work done on the gas during one cycle is
Explanation of Solution
The total work done is equivalent to the area under the
Write the expression for the area of triangle.
Here,
Write the expression for the base of the triangle.
Here,
Write the expression for height of the triangle.
Here,
Use equations (IV) and (V) in expression (III)
Conclusion:
Substitute
Therefore, the total work done on the gas during one cycle is
(c)
The amount of
(c)
Answer to Problem 47PQ
The amount of heat transferred when the gas goes from B to C is
Explanation of Solution
Write the expression for the change in thermal energy of the gas.
Here,
The process done between points B and C is adiabatic in nature.
Write the expression for the work done in an isobaric process.
Here,
Apply first law of thermodynamics. The heat flowing through
Write the expression for the heat flowing between
Conclusion:
Substitute
Substitute
Therefore, the amount of heat transferred when the gas goes from B to C is
Want to see more full solutions like this?
Chapter 21 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
- 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_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 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_forward
- Figure 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_forwardIn Figure P17.32, 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? (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? Figure P17.32arrow_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
- Figure 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_forwardA 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_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning