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wintermute++
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Homework Statement
This is a paraphrase, since this is only part of a 3 part question.
A sample of 1.00 mol perfect gas molecules with [itex]C_{p,m}=7/2*R[/itex] and initial pressure of 1.00 atm undegoes constant-volume heating to twice its initial pressure. Find q, w, ΔU, and ΔH.
Homework Equations
[itex]PV=nRT[/itex]
[itex] \Delta U=nC_{p,m}ΔT[/itex]
The Attempt at a Solution
[itex]p_{f}=2p_{i}[/itex] so [itex]Δp = 2p_{i}-p_{i}=p_{i}[/itex]
Since the volume is constant, [itex]V_{i}=V_{f}[/itex] which lends itself neatly to give
[itex]\Delta T = \Delta pV / nR = p_{i}V_{i}/nR = T_{i}[/itex]Sure, it's a neat solution but it's obviously not the correct one since I don't have the initial temperature. I've tried other ways but don't see how this is possible given the information supplied. Any help would be appreciated.
The books solution requires a temperature change of 298 K, if that helps.
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