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

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
3 replies · 11K views
cnoa
Messages
5
Reaction score
0
Why Do I Use U For Constant Volume and H For Constant Pressure?

Also, which can be calculated H, Q, U, W?
 
on Phys.org
cnoa said:
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
 
cnoa said:
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.
 
In general we have the equations for small changes dP, dV, dU, dH:
dU=dQ - PdV
dH=dQ + VdPFor 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.