Solution Found!
A temperature transmitter is used to measure the liquid
Chapter 9, Problem 9.9(choose chapter or problem)
A temperature transmitter is used to measure the liquid temperature in a bioreactor. A steady-state calibration of this instrument yields the following data: Temperature, oc 0 100 200 300 400 ~easurement,mA 4.0 8.1 11.9 16.1 20.0 Exercises 167 A process engineer runs a test on the reactor under controlled conditions in which its temperature is changed by + 3 C/min. The transmitter output was recorded during this test, converted to C, and compared with a standard thermometer which is known to be accurate and to have a time constant of 20 s. The test data are Time from Start of Test, min 2.0 3.0 4.0 5.0 Temperature COC) Std. Thermometer TIC Transmitter 111.8 115.1 117.9 121.1 107.8 111.0 114.1 117.0 For steady-state conditions, the standard thermometer and thermocouple-transmitter outputs are identical. Assuming that the transmitter/thermocouple can be modeled by a firstorder transfer function, find KandT.
Questions & Answers
QUESTION:
A temperature transmitter is used to measure the liquid temperature in a bioreactor. A steady-state calibration of this instrument yields the following data: Temperature, oc 0 100 200 300 400 ~easurement,mA 4.0 8.1 11.9 16.1 20.0 Exercises 167 A process engineer runs a test on the reactor under controlled conditions in which its temperature is changed by + 3 C/min. The transmitter output was recorded during this test, converted to C, and compared with a standard thermometer which is known to be accurate and to have a time constant of 20 s. The test data are Time from Start of Test, min 2.0 3.0 4.0 5.0 Temperature COC) Std. Thermometer TIC Transmitter 111.8 115.1 117.9 121.1 107.8 111.0 114.1 117.0 For steady-state conditions, the standard thermometer and thermocouple-transmitter outputs are identical. Assuming that the transmitter/thermocouple can be modeled by a firstorder transfer function, find KandT.
ANSWER:Step 1 of 4
The transfer function of the model is,
Here, 
From the below tables,
Temperature, |
Measurement, |
0 |
4 |
100 |
8.1 |
200 |
11.9 |
300 |
16.1 |
400 |
20.0 |
Time from start of test, |
Temperature, Standard thermometer T/C transmitter |
2.0 |
111.8 107.8 |
3.0 |
115.1 111.0 |
4.0 |
117.9 114.1 |
5.0 |
121.1 117.0 |
