Astream of humid air containing 2.00 mol% h2o(v) and the balance dry air is to be humidified to a water content of 10.0 mole% h2o.

for this purpose, liquid water is fed through a flowmeter and evaporated into the air stream.

the flowmeter reading, r, is 105.0.

the only available calibration data for the flowmeter are two points scribbled on a sheet of paper, indicating that readings r = 21.0 and r = 54.0 correspond to flow rates v⋅ = 42.0 ft3/h and v⋅ = 100.9 ft3/h, respectively.

a) estimate the flow rate of the liquid water feed if the volumetric flow rate is a linear function of r.

i) v= ft3/h

ii) n= lb-mole/h

b) estimate the flow rate of the liquid water feed if the reading r is a linear function of v^0.5

i) v= ft3/h

ii) n= lb-mole/h