A bare thermocouple, when suddenly moved from a temperature of 82 C into a stream of hot air at a constant temperature of 105 C, reads 93 C after 1 s. If the same thermocouple is used to record the temperature of the same airstream 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? You may assume that the thermocouple has first-order dynamics with gain equal to 1.