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sunrah
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Homework Statement
Two different ideal gases are separated by a sliding barrier that can move vertically. The gas in the upper chamber 1 has n moles of material, whilst the gas in the lower chamber 2 has 3n moles of material. At T0 the weight of the barrier is such that the volumes of the two chambers are equal. What is the ratio of V2/V1at T1.
Homework Equations
P = F/A
W = mg
PV = nRT
The Attempt at a Solution
Equilibrium at T0: F2 = F1 + W
where the Fi are the forces from the i gas on the barrier.
therefore W = F2 - F1 = A(P2 - P1)
[itex] \frac{3AnRT_{0}}{V_{2}} - \frac{AnRT_{0}}{V_{1}} = \frac{2AnRT_{0}}{V_{0}} [/itex], because [itex]V_{0} = V_{1}(T_{0}) = V_{2}(T_{0})[/itex]
further [itex] W = \frac{4AnRT_{0}}{V} [/itex], because [itex]V_{0} = \frac{V}{2}[/itex] where V is the total volume of the two chambers!
Now I want to check equilibrium forces at T1 but using F2 = F1 + W for T1 and substituting for constant weight will not allow me to calculate the ratio V2/V1!