A thermocouple with the same material k = 36 W m-1K-1, and ho=8500 kg m-3 is used to measure a fast turbulent water flow temperature. The heat transfer coefficient between the junction and the water is h = 2000 W m-2 K-1. The heat capacity of the junction is the same Cp= 320 J kg-1 K-1. The size of the junction in this case is 15 mm diameter to be able to stand the impact force of the water on the probe. Perform analysis using the exact solution with one term approximation considering the solution coefficients A1 = 0.03 and lambda subscript 1 = 0.6 and the characteristics length of the junction is equal to the junction radius Lc = 7.5 mm. Determine how long for the thermocouple junction centre to reach 0.989 of its initial temperature difference, such that left parenthesis increment T subscript i minus increment T right parenthesis divided by increment T subscript i 0.989. Provide the answer to one decimal place