A temperature transducer is used to measure the temperature of steam coming out of a steam generator. The following data are available from the manufacturer of the temperature transducer: Range: 0 − 1000 K Sensitivity: ±0.5% of full scale Linearity: ±1.5% of full scale Accuracy: ±1.0% of full scale To determine the repeatability of the transducer, 10 auxiliary tests at the desired average temperature of 800 K were run. The standard deviation of these measurements is 25 K. In a separate test of the data transmission system, 10 tests of the same temperature input resulted in a standard deviation of 20 K. The A/D converter is tested 10 times resulting a standard deviation of 15 K. (a) (10) Calculate the random uncertainty of the temperature measurement at 95% confidence level. (b) (8) Calculate the systematic uncertainty of the temperature measurement. (c) (7) Calculate the total uncertainty of the temperature measurement. If the steam temperature needs to controlled within ±10% from the desired 800 K. Please comment on the adequacy of this device.