physics

The resistance of a platinum resistance thermometer is 30 ohms at the ice point, 40 ohms at the steam point and 34.5 ohms on a certain hot day, what is the temperature of the day on celcius temperature day?

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asked by dayo
  1. at T = 0, R = 30
    at T = 100, R = 40

    if we assume linear behavior
    T = m R + b

    m = change in T/change in R = 100/40
    = 2.5
    so
    T = 2.5 R + b
    when T = 0, R = 30 so
    0 = 2.5*30 + b
    b = - 75
    so
    T = 2.5 R - 75
    if R = 34.5 then
    T = 2.5(34.5) - 75
    T = 11.25 degrees C

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    posted by Damon

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