Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between TA and TB?


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Triple point of water is, T = 273.16 K

Since the absolute scales measure the triple point as 200 A and 350 B.

∴ 200A = 350B = 273.16 K

∴ 1A = \(\frac{273.16}{200}\)K and 1B = \(\frac{273.16}{350}\)K

If TA and TB are the temperatures on the two scales, then

\(\frac{273.16}{200}\)TA = \(\frac{273.16}{350}\)TB

∴ TA = \(\frac{200}{350}\) TB = \(\frac{4}{7}\)TB

\(\frac{T_A}{T_B}=\frac{4}{7}\)

The relation between TA and TB is TA : TB = 4 : 7

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