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Question:

The bulb of a constant-volume gas thermometer has a volume V and is connected by a long narrow capillary tube to a manometer, where there is a dead space of volume V/4 above the liquid. The thermometer is filled with an ideal gas at pressure p

_{0}and temperature T

_{0}.

(i) Find an expression for the sensitivity of the thermometer (rate of change of pressure with temperature) at temperature T if the manomenter remains at temperature T

_{0}.

(ii) Sketch the variation of sensitivity with temperature for the range T/K = 0 to ∞.

(iii) Show, on the same axes, sensitivity as a function of temperature for the same bulb connected to a manometer with a dead space of negligible volume (a) when filled to give the same value of p

_{0}at T

_{0}, and (b) when filled with the same mass of gas as previously.

Attempt:

(i) This is the diagram of the apparatus which I think is like. Is it correct?

Or is it this one?