How long will it take for the thermocouple to indicate a, Mechanical Engineering

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How long will it take for the thermocouple to indicate a

A copper sphere having a diameter of 12.0 mm is initially at a uniform temperature of 100?C. It is then suddenly exposed to an air-forced-convection environment at 20? which produces a convection heat-transfer coefficient of 97 W/m² - ?C. Embedded in the sphere is a chromel-alumel thermocouple to indicate the temperature as a function of time. How long will it take for the thermocouple to indicate a temperature of 25?C? What is the time constant for this system?

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