How Does Entropy Change and Work Done Relate in a Reversible Ideal Gas Cycle?

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SUMMARY

The discussion focuses on the calculations involved in a reversible ideal gas cycle for 1.00 mol of a monatomic ideal gas, with specific parameters including pressure p = 2p0, volume V = 2V0, p0 = 1.13 x 10^5 Pa, and V0 = 0.0235 m^3. Key calculations include the work done during the cycle, energy added during stroke abc, and the efficiency of the cycle. The participant successfully solved the problem after initial uncertainty regarding the use of the graph for calculations.

PREREQUISITES
  • Understanding of the ideal gas law and monatomic ideal gases
  • Familiarity with thermodynamic cycles and efficiency calculations
  • Knowledge of the specific heat capacities, particularly Cp
  • Ability to interpret graphical data related to thermodynamic processes
NEXT STEPS
  • Study the derivation and application of the ideal gas law in thermodynamic calculations
  • Learn about the calculation of work done in various thermodynamic processes
  • Research the concept of thermal efficiency in heat engines
  • Explore the relationship between temperature changes and energy transfer in ideal gas cycles
USEFUL FOR

Students and professionals in thermodynamics, mechanical engineers, and anyone studying heat engines and ideal gas behavior will benefit from this discussion.

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Figure 20-29 shows a reversible cycle through which 1.00 mol of a monatomic ideal gas is taken. Assume that p = 2p0, V = 2V0, p0 = 1.13*10^5 Pa, and V0 = 0.0235 m^3.

Fig. 20-29 http://s1142.photobucket.com/albums/n603/bdoneski/?action=view&current=hrw7_20-29.gif"
(a) Calculate the work done during the cycle.
J
(b) Calculate the energy added during stroke abc.
J
(c) Calculate the efficiency of the cycle.
%
(d) What is the efficiency of an ideal engine operating between the highest and lowest temperatures that occur in the cycle? (Note whether this is greater than or less than the efficiency calculated in (c).)
%

Homework Equations


Q=n(Cp)deltaT

The Attempt at a Solution


not sure how to use the graph to calculate anything. I don't know the first step to a solution. Any help would be greatly appreciated
 
Last edited by a moderator:
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nevermind i solved it
 

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