The temperature of an ideal gas in a tube of very small, constant cross-sectional area varies linearly from one end (x = 0) to the other end (x = L) according to the equation
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If the volume of the tube is V and the pressure P is uniform throughout the tube, show that the equation of state for n moles of gas is given by
Show that, when TL = To = T, the equation of state reduces to the obvious one, PV = nRT.
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