The response of a thermocouple can be modelled as a first order process to changes in the temperature of the environment. If such a thermocouple at 25°C is immersed suddenly in a fluid at 80°C and held there, it is found that the thermocouple reading (in °C) reaches 3.2% of the final steady value in 40 seconds. Find the time constant of the thermocouple.

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