Question

The resistance of platinum thermometer is 5.7  5.5, 5.2 at boiling point,
unknown temperature, θ, and at the freezing point of water respectively.
Determine the unknown temperature in θ°C.

Answer 1

The unknown temperature is  64°C

Given,

Resistance at ice point,R$_{0}$ =5.2Ω,

Resistance at steam point,R$_{100}$ = 5.7Ω,

Resistance when dip in unknow, R$_{t}$ = 5.5Ω,

R$_{100}$ = R$_{0}$ (1+α100)

α = R$_{100}$-R$_{0}$ / R$_{0}$×100

α = 0.00096 = 9×$10^{-4}$°C$^{-1}$

Let the temperature of hot bath = t°C

R$_{t}$ = R$_{0}$(1+αt)

t = R$_{t}$- R$_{0}$ / R$_{0}$ α

t = 0.3 / 0.00468

t = 64°C

The unknown temperature is  64°C.

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