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The pressures of the gas filled in the b...

The pressures of the gas filled in the bulb of a constant volume gas thermometer are `66` cm and `88` cm of mercury column at `0^(@)C` and `100^(@)C` respectively. When its bulb is immersed in a liquid placed in a vessel, its pressure is `82.5` cm of mercury column. Calculate the temperature of the liquid.

Text Solution

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Pressure at `0"^(@)`C is `P_0` = 66 cm, pressure at `100"^(@)`C is `P_100` = 88 cm. Pressure at unknown temperature is `P_1`-82.5 cm. According to formula, the unknown temperature is
`t=100"^(@)Cxx((P_1-P_0)/(P_100-P_0))`
`100"^(@)Cxx((82.5-66)/(88-66))`
`100"^(@)Cxx(16.5)/(22)=75"^(C)`
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