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gibbsboson
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Homework Statement
Show that
[itex]\left(\frac{\partial H}{\partial T}\right)_{T} = 0 [/itex]
for an ideal gas
Homework Equations
The question required me to first solve
[itex]\left(\frac{\partial U}{\partial T}\right)_{P}[/itex] [itex] = C_{P}[/itex] - [itex]P\left(\frac{\partial V}{\partial T}\right)_{P}[/itex]
but I am unsure if I would use this for the rest of the question
The Attempt at a Solution
I have already shown that [itex]\left(\frac{\partial C_{V}}{\partial V}\right)_{T} = 0 [/itex] for an ideal gas but I am struggling to manage this one. I can show it is zero when I have this equation to begin with
[itex]dH = \left(\frac{\partial H}{\partial T}\right)_{V}dT[/itex] + [itex]\left(\frac{\partial H}{\partial T}\right)_{T}dV[/itex]
But I am unsure how to get to this point in the first place, so any help here would be excellent.
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