(Thermodynamics) Why Do I Use U For Constant Volume and H For Constant Pressure

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Why Do I Use U For Constant Volume and H For Constant Pressure?

Also, which can be calculated H, Q, U, W?
 

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  • #2
Andrew Mason
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Why Do I Use U For Constant Volume and H For Constant Pressure?

Also, which can be calculated H, Q, U, W?
For an ideal gas:

[itex]\Delta U = nC_v\Delta T[/itex]

[itex]\Delta H = \Delta U + \Delta (PV) = nC_v\Delta T + nR\Delta T = nC_p\Delta T[/itex]

I am not sure what you mean by your last question. They can all be calculated if you have sufficient information.

AM
 
  • #3
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Why Do I Use U For Constant Volume and H For Constant Pressure?

I can't tell you why you do that but if there is no non-volumetric work the change of U or H is equal to the exchanged heat if you do so.
 
  • #4
I like Serena
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In general we have the equations for small changes dP, dV, dU, dH:
dU=dQ - PdV
dH=dQ + VdP


For constant volume dV=0, so we can write the first as:
ΔU=ΔQ

For constant pressure dP=0, so we can write the second as:
ΔH=ΔQ

These are the quantities that we can actually measure.


Depending on circumstances we can calculate each of H, Q, U, and W.
 

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