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What fraction of the volume of a vessel must liquid ether occupy at room temperature in order to pass into crictical state when critical temperature is reached ? Ether has `T_(cr) = 467 K, p_(cr) = 35.5 atm p M = 74 g//mol`. |
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Answer» The vessel is such that either vapour or liquid of mass `m` occupies it at critical point. Then its volume will be `v_(Cr) = (m)/(M) V_(Mcr) = (3)/(8) (RT_(Cr))/(P_(Cr))(m)/(M)` The corresponding volume in liquid phase at room temperature is `V = (m)/(rho)` Where `rho` = density of liquid ether at room temperature. Thus `eta = (V)/(V_(Cr)) = (8 Mp_(Cr))/(3 RT_(Cr) rho) ~~ 0.254` using the given data (and `rho = 720 gm` per litre). |
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