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A constant pressure gas thermometer has a volume of 200cc, 273.2cc and 525.1cc at 0^oC, 100^oC and boiling point of sulphur respectively. The resistance possessed by a platinum wire at the same temperatures as above are 2.00 $Ω$ , 2.778 $Ω$ and 5.28 $Ω$ respectively. Boiling point of sulphur on the basis of two sets of observations by gas thermometer is (440.1+ x)^oC and by resistance thermometer is (420.6+y)^oC, then the value of x + y is ______

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answer is 5.

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Detailed Solution

Gas thermometer
$T_{1} = (\frac{V_{T} - V_{0}}{V_{100} - V_{0}}) 100 = 444 . 1^{0} C$
Resistance thermometer
$T_{2} = (\frac{R_{T} - R_{0}}{R_{100} - R_{0}}) 100 = 421 . 6^{0} C$

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