Calculating dH for a System with Constant Volume: Step-by-Step Guide

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Discussion Overview

The discussion revolves around calculating the change in enthalpy (dH) for a gas system at constant volume, exploring the implications of enthalpy as a state variable, and addressing the enthalpy changes over a complete thermodynamic cycle.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant presents the equation dH = dU + P dV and calculates dU for a gas system, concluding that dH should equal dU due to constant volume, but expresses uncertainty about the correctness of this conclusion.
  • Another participant questions how to calculate the total enthalpy change over a complete cycle, asking if it involves summing the enthalpy changes of each step.
  • Multiple participants confirm that enthalpy is a state variable, discussing its implications, including that it does not depend on the path taken by the system.
  • There is a suggestion that if enthalpy is not a state variable, then changes would be path-dependent, implying that heat must be summed over each step in a cycle.
  • A later reply emphasizes that if the system returns to its original state, the overall enthalpy change for the cycle would be zero.

Areas of Agreement / Disagreement

Participants generally agree that enthalpy is a state variable and discuss its implications. However, there is uncertainty regarding the calculation of dH in specific scenarios, and the discussion about the enthalpy change over a complete cycle remains unresolved.

Contextual Notes

Participants express uncertainty about the application of equations and the implications of state variables, particularly in the context of constant volume and cyclic processes. There are unresolved questions about the correct application of enthalpy equations in specific cases.

Who May Find This Useful

This discussion may be useful for students and professionals interested in thermodynamics, particularly those exploring the concepts of enthalpy, state variables, and thermodynamic cycles.

higherme
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dH = dU + P dV

dU = q - P dV

I need to find the dH for a system (1mol gas)going from P=1.24 atm to P=0.62atm, with constant volume of 46.72 L. I already found the value of q = -4402 J, w=0 , and dU = -4402 J

I think dH = dU since its change in V is 0. So my answer was dH =dU = -4402J. But i dont' know why i can't get the answer.
 
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nevermind, i figured out what i was missing.
 


if I want to find the enthalpy change of a whole cycle, do i add up all the enthalpy of each step? The system goes from A to B, from B to C, and from C back to A
 


1. Is enthalpy a state variable? If so, what are the implications for changes over a complete cycle?

2. Your differential enthalpy equation isn't quite right.
 


Mapes said:
1. Is enthalpy a state variable? If so, what are the implications for changes over a complete cycle?

2. Your differential enthalpy equation isn't quite right.

ya, enthalpy is a state variable. so this means that it doesn't depend on the path, right? so if i want to find change in enthalpy, it will be the final enthalpy minus initial enthalpy?
 


if its not a state variable (i.e heat (q)), it would be path dependent, which means for a complete cycle, you would have to add up the heat at each step, correct?
 


Agreed, enthalpy is a state variable (i.e., its value is determined only by the system's current state). So if the system returns to its original state at the end of a cycle, what is the enthalpy change?
 

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