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university physics

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A platinum resistance thermometer has resistances of 200.0 ohms when placed
in a 0 degrees Celsius ice bath and 253.8 ohms when immersed in a crucible contacting melting potassium. What is the
melting point of potassium? Hint: First determine the resistance of the platinum resistance
thermometer at room temperature, 20 degrees Celsius.

  • university physics - ,

    for Pt α =0.00392 (1/℃).

    R₁=R₀[1+α(T₁-T₀)]
    R₂= R₀[1+α(T₂-T₀)]

    R₁/R₂=[1+α(T₁-T₀)]/[1+α(T₂-T₀)]
    200/253.8=(1- 0.00392 •20)/[1+ 0.00392• (T₂-20)]
    Solving for T₂ gives
    T₂=63.2℃

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