A thermocouple is suddenly moved from a temperature of 82 C into a hot air stream at a constant temperature of 105 C, which reads 93 C after 1 s. The same thermocouple is used to record the temperature of the same hot air stream when this temperature is falling at a constant rate of 2 C per second, what will be the error in the thermocouple reading at the end of 10 s? Assume the thermocouple has first-order dynamics with gain equal to 1