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?
(a)
Answer to Problem 22P
Explanation of Solution
Given info: The change in internal energy of a gas which is taken along the blue path from A to C is
Write the equation of first law of thermodynamics.
Here,
Write the equation of conservation of energy.
Here,
Substitute
Substitute
Conclusion:
Therefore, the energy which must be added to the system by heat which goes from A through B to C is
(b)
Answer to Problem 22P
Explanation of Solution
Given info: The change in internal energy of a gas which is taken along the blue path from A to C is
Write the equation to calculate the work done on the system from C to D.
Here,
Here,
The pressure at point A is five times that of point C.
And the volume is,
Substitute
Substitute
Conclusion:
Therefore, the work done on the system from C to D if pressure at A is five times that of point C is
(c)
Answer to Problem 22P
Explanation of Solution
Given info: The change in internal energy of a gas which is taken along the blue path from A to C is
Write the equation of first law of thermodynamics.
Here,
Write the equation to calculate work done along the green path from C to A.
Here, the volume
Substitute 0 for
Substitute
Substitute
Conclusion:
Therefore, the energy exchanged with the surroundings by heat along the green path from C to A is
(d)
Answer to Problem 22P
is
Explanation of Solution
Given info: The change in internal energy of a gas which is taken along the blue path from A to C is
Write the equation of first law of thermodynamics.
Here,
Substitute
Conclusion:
Therefore, the energy which must be added to the system by heat which goes from C to D is
Want to see more full solutions like this?
Chapter 19 Solutions
Physics for Scientists and Engineers
- In 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_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_forwardOne mole of an ideal gas does 3 000 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 25.0 L. Determine (a) the initial volume and (b) the temperature of the gas.arrow_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_forwardA gas expands from I to Fin Figure P20.58 (page 622). The energy added to the gas by heat is 418 J when the gas goes from I to F along the diagonal path, (a) What is the change in internal energy of the gas? (b) How much energy must be added to the gas by heat along the indirect path IAF?arrow_forwardConsider a gas filling two connected chambers that are separated by a removable barrier (Fig. P20.68). The gas molecules on the left (red) are initially at a higher temperature than the ones on the right (blue). When the barrier between the two chambers is removed, the molecules begin to mix and move from one chamber to the other. a. Describe what happens to the temperature in the left chamber and in the right chamber as time goes on, once the barrier is open. Discuss in terms of the mixing of the molecules from each gas. b. Describe what happens to the most probable speed and average speed in the left chamber and in the right chamber as time goes on, once the barrier is open. Do they increase or decrease by the same factor? Explain. FIGURE P20.68 Problems 68 and 69.arrow_forward
- 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 LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning