Given: TK = TF = x
To find: Temperature at which Kelvin and Fahrenheit scales coincide (x)
Formula: \(\frac{T_F-32}{180}=\frac{T_K-273.15}{100}\)
Calculation: From formula.
∴ \(\frac{x-32}{180}=\frac{x-273.15}{100}\)
∴ 5(x – 32) = 9(x – 273.15)
∴ 5x – 160 = 9x – 2458.35
∴ 4x = 2298.35
∴ x = \(\frac{2298.35}{4}\) = 574.6
∴ x = 574.6 °F
The temperature at which kelvin and fahrenheit scales coincide is 574.6 °F.
