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  4. The pressure of a gas filled in the bulb of a constant volume gas thermometer at temperatures 0° C and 100° C are 27.50 cm and 37.50 cm of Hg respectively. At an unknown temperature the pressure is 32.45 cm of Hg. Unknown temperature is

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Q. The pressure of a gas filled in the bulb of a constant volume gas thermometer at temperatures $0^{\circ} C$ and $100^{\circ} C$ are $27.50 \,cm$ and $37.50 \,cm$ of $Hg$ respectively. At an unknown temperature the pressure is $32.45 \,cm$ of $Hg$. Unknown temperature is

Thermal Properties of Matter

Solution:

$\frac{P-P_{0}}{P_{100}-P_{0}}=\frac{x-x_{0}}{x_{100}-x_{0}}=\frac{T-T_{0}}{T_{100}-T_{0}}$
$\frac{32.45-27.50}{37.50-27.50}=\frac{T-O}{100-0}$
$T=49.5^{\circ} C$