The pressure of a gas filled in the bulb of a constant volume gas thermometer at 0⁰C and 100⁰C are 28.6 cm and 36.6 cm of mercury respectively. The temperature of bulb at which pressure will be 35.0 cm of mercury will be

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70⁰C

55⁰C

40⁰C

80⁰C

answer is A.

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Detailed Solution

$\begin{array}{l} t^{\circ} = \frac{(X_{t} - X_{0})}{X_{100} - X_{0}} \times 100 \\ t = (\frac{35 - 28 .6}{36 .6 - 28 .6}) \times 100 \\ = \frac{640^{\circ}}{8} = 80^{\circ} C \end{array}$

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