Question
The resistance of platinum wire resistance thermometer at ice point is 5.5Ω and 7.5Ω at steam point. The pressure exerted by gas in constant volume gas thermometer at respective points is 100cm and 136cm of mercury. When both the thermometers are put in a bath, the resistance of platinum resistance thermometer is 7.1Ω and the pressure of the gas is 128cm of mercury. Compare the temperature recorded by two thermometers.
Solution
Resistance thermometer:
We have,
Let t be the temperature of bath recorded by resistance thermometer.
∴
Gas Thermometer:
We have,

Let t2 be the temperature of bath recorded by gas thermometer.
∴
The temperature of bath on platinum scale is 80°C and that of same bath on gas scale is 79.17°C.
We have,

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Let t be the temperature of bath recorded by resistance thermometer.
∴


Gas Thermometer:
We have,



Let t2 be the temperature of bath recorded by gas thermometer.
∴


The temperature of bath on platinum scale is 80°C and that of same bath on gas scale is 79.17°C.