A platinum resistance thermometer registers 0^ at a resistance of 80 and 100^ at a resistance of 90 . Determine the temperature on the platinum scale when the resistance reaches 86 .

Step-by-step solution

The temperature t on the platinum scale is given by the formula: t = R_t - R₀ R₁₀₀ - R₀ 100^ Given: R₀ = 80 R₁₀₀ = 90 R_t = 86 Substituting the values into the formula: t = 86 - 80 90 - 80 100^ t = 6 10 100^ t = 60^