InterviewSolution
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InterviewSolution
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A very tall vertical cylinder contains carbon dioxide at a certain temperature `T`. Assuming the gravitational field to be uniform, find how the gas pressure on the bottom of the vessel will change when the gas temperature increases `eta` times. |
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Answer» At a temperature `T` the concentration `n(Ƶ)` varies with height according to `n (Ƶ) = n_0 e^(-mgz//kT)` Thuis means that the cylinder contains `int _0^oo n(Ƶ) d Ƶ` =`int_0^oo n_0 e^(-mg//kT) d Ƶ = (n_0 kT)/(mg)` Particles per unit area of the base. Clearly this cannot change. Thus `n_0 kT = p_0` = pressure at the bottom of the cylinder must not change with change of temperature. |
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