$3)(20)$ The All$-$American Canal is a very important and somewhat controversial manmade waterway just to east of San Diego, one of the largest irrigation canals in the world. Thanks to the water it provides to the Imperial Valley we enjoy a lot of fresh vegetables that could not otherwise be orown in this extremely arid region. Please read about it here:

As you saw from the reading, a lot of the water was being lost to seepage into Mexico, but that was halted a few years ago by lining part of the canal. However, water is still lost to evaporation, and we will calculate that.

Based on the article, the canal is $82$ miles long and we will assume an average width of $200$ feet $($it varies$).$ The water temperature will be assumed to be $60$ F $,$ and the air temperature around the canal is $100$ F with a humidity of $\backslash (15\backslash \%\backslash ).$ The pressure is standard pressure at seal level, $1$ atm $.$ A breeze of $7$ miles per hour blows across the canal and assume that all the boundary layers start growing from the edge of the canal $($that is$,$ x goes from $0$ to $200$ feet$).$

a$)$ Calculate the molar concentration of water vapor in the air at the canal surface and the molar concentration of water vapor in the free stream of the air $($note that the two locations have different reference temperatures$).$

b$)$ Calculate the vapor mass density $($sometimes called the partial density$)$ of water vapor in the air at those two locations.

c$)$ What is the total molar transfer rate of water from the canal to the air?

d$)$ How many gallons of water are evaporated each day?