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

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Using U for constant volume and H for constant pressure is based on their definitions in thermodynamics. At constant volume, the change in internal energy (ΔU) equals the heat exchanged (ΔQ), while at constant pressure, the change in enthalpy (ΔH) also equals the heat exchanged. For an ideal gas, ΔU can be calculated as nC_vΔT and ΔH as nC_pΔT, linking them to temperature changes. All quantities—H, Q, U, and W—can be calculated with sufficient information. Understanding these relationships is essential for analyzing thermodynamic processes effectively.
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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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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:

\Delta U = nC_v\Delta T

\Delta H = \Delta U + \Delta (PV) = nC_v\Delta T + nR\Delta T = nC_p\Delta T

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.
 
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