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The pressure of the gas in a constant vo...

The pressure of the gas in a constant volume gas thermometer is 80cm of mercury in melting ice at `1 atm`. When the bulb is placed in a liquid, the pressure becomes `160cm` of mercury. Find the temperature of the liquid.

Text Solution

Verified by Experts

For an ideal gas at constant volume,
`T_1/T_3 = P_1/P_3`
or, T_2 = P_2/P_1 T_1`. The temperature of melting ice at `1 atm` is `273.15K`. Thus, the temperature of the liquid is
`T_2 = 160/80 xx 273.15 K = 546.30K`.
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