An analyzer is used to find the mass fraction of a component A in a binary strea
ID: 817197 • Letter: A
Question
An analyzer is used to find the mass fraction of a component A in a binary stream of A and B. The mass fraction (x) of A depends linearly on the analyzer reading (R) and the calibration data is given below R: 5, 17, 29, 41, 53 x: 0.021, 0.049, 0.077, 0.105, 0.133 In an unknown sample stream of the same mixture, the analyzer reading is found to be 53. If the total mass flow rate of the stream is 2411 kg/h, then for this stream choose the correct answer: A-the mass fraction of A is 0.100 and its flow rate is 368.43 kg/h B-the mass fraction of A is 0.133 and its flow rate is 368.43 kg/h C-the mass fraction of A is 0.133 and its flow rate is 320.37 kg/h D-the mass fraction of A is 0.100 and its flow rate is 320.37 kg/h E-the mass fraction of A is 0.116 and its flow rate is 320.37 kg/h
Explanation / Answer
53 is one of the calibration points. When the sensor reads 53, the corresponding mass fraction is 0.133. Npote that there are no units to the mass fraction, since it is mass divided by mass. Now we take this farction and multiply it by the whole, which is 2411 kg/hr. 2411kg/hr*0.133 = 320.633 kg/hr Choice C is the closest.