A stream 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