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Question
In a Callender's compensated constant pressure air thermometer, the volume of the bulb is 1800 cc. When the bulb is kept immersed in a vessel, 200 cc of mercury has to be poured out. Calculate the temperature of the vessel.
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Solution
Given:
Volume of the bulb in a Callender's compensated constant pressure air thermometer, (V) =
1800 cc
Volume of mercury that has to be poured out, V' = 200 cc
Temperature of ice bath, To = 273.15 K
So the temperature of the vessel(T') is given by:
\[T' = \frac{V}{V - V'} \times T_0 \]
\[ \Rightarrow T' = \frac{1800}{1600} \times 273 . 15 K\]
\[ \Rightarrow T' = 307 . 293\]
\[ \Rightarrow T' \simeq 307 K\]
Therefore, the temperature of the vessel is 307 K.
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