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Two absolute scales A and B have triple points of water defined to be 200 A and 300 B.A temperature is measured on these scales as T_(A) and T_(B) What is the relation between T_(A) and T_(B)? Given, that triple point of water as 273.16K.

Answer»

Solution :200 A on absolute scale A corresponds to 272.16 K on Kelvin scale. SIZE of ONE degree on absolute scale A in TERMS of the size of the degree on Kelvin scale = `(273.16)/(200)` .
the value of temperature `T_(A) ` on Kelvin Scale
`( (273.16)/(200)) T_(A)`
Similarly, the value of temperature `T_(B)` on Kelvin scale
`( (273.16)/(300)) T_(B)`.
But , `T_(A) and T_(B)` represent the same temperature `((273.16)/(200))T_(A) = ((273.16)/(300)) T_(B) rArr T_(A) = (2)/(3) T_(B)`


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