Determine ΔE, Q and W for the data in the Table

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SUMMARY

The discussion focuses on calculating the energy changes (ΔE), heat transfer (Q), and work (W) for a thermodynamic system undergoing a power cycle with four processes. The key equations used are Q = (E2 - E1) + W and Q = ΔE + W. Participants confirmed that W = 1200 KJ for process 1-2 and ΔE = 0 KJ for process 3-4, while correcting the initial claim that Q = 1000 KJ for process 4-1, emphasizing the importance of ensuring the sum of all ΔE values equals zero in a cyclic process.

PREREQUISITES
  • Understanding of thermodynamic cycles
  • Familiarity with the first law of thermodynamics
  • Knowledge of energy transfer concepts (Q, W, ΔE)
  • Ability to perform arithmetic calculations with energy units (KJ)
NEXT STEPS
  • Study the application of the first law of thermodynamics in cyclic processes
  • Learn how to calculate thermal efficiency in thermodynamic cycles
  • Explore examples of energy transfer calculations in power cycles
  • Investigate the implications of cyclic processes on energy conservation
USEFUL FOR

Students studying thermodynamics, engineers working with power cycles, and anyone involved in energy systems analysis will benefit from this discussion.

Northbysouth
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Homework Statement


The following table gives data, in KJ, for a system undergoing a power cycle consisting of four processes in series. Determine the a) missing table entries, each in KJ, and b) the thermal efficiency.

I have attached an image of the Table.

Homework Equations


Q = (E2-E1) + W

Q = ΔE + W

The Attempt at a Solution



I'm unsure whether a previous process affects the process that comes after it. Is it sufficient to use the formula that I've given to calculate the ΔE and W for processes 1-2, 3-4 and 4-1? If so, then how do I find the ΔE and W for process 2-3? Do I need to look at the process preceding it?

Would I be right in saying that:
W = 1200 for proces 1-2
ΔE = 0 for process 3-4
Q = 1000 for process 4-1
 

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Northbysouth said:

Homework Statement


The following table gives data, in KJ, for a system undergoing a power cycle consisting of four processes in series. Determine the a) missing table entries, each in KJ, and b) the thermal efficiency.

I have attached an image of the Table.

Homework Equations


Q = (E2-E1) + W

Q = ΔE + W


The Attempt at a Solution




I'm unsure whether a previous process affects the process that comes after it. Is it sufficient to use the formula that I've given to calculate the ΔE and W for processes 1-2, 3-4 and 4-1? If so, then how do I find the ΔE and W for process 2-3? Do I need to look at the process preceding it?

Would I be right in saying that:
W = 1200 for proces 1-2
ΔE = 0 for process 3-4
Q = 1000 for process 4-1

The same formula applies to all 4 processes
If it's cyclic, the sum of all four ΔE's must be zero.

You were correct about the following:
W = 1200 for proces 1-2
ΔE = 0 for process 3-4

But, you were wrong about Q = 1000 for process 4-1. Check your arithmetic.

Since you know ΔE for 3 out of the four processes, you know it for the 4th because the sum of the ΔE's must be zero.
 

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