My Math Forum Hydrology problems question

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 February 2nd, 2012, 01:19 PM #1 Joined: Feb 2012 Posts: 1 Thanks: 0 Hydrology problems question Good afternoon all, I am taking a Hydrology class for my major and am having trouble with two problems, which happen to be the easiest ones, I just cant figure it out Here's the first problem: The only swimming pool at El Cheapo Motel is outdoors. It is 5.0m wide and 12m long. If the weekly evaporation is 2.35 inches, how many gallons of water must be added to the pool if it does not rain? The other problem is this: A 500 mL bottle of spring water, which is at room temperature of 25 deg. cel., is poured over 120g of ice that is -8 deg. cel. What will be the final temperature of the water when all the ice has melted, assuming that it is in an insulated container that does not change temperature. Any help would be appreciated!
 February 2nd, 2012, 08:48 PM #2 Global Moderator     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 11,807 Thanks: 267 Math Focus: The calculus Re: Hydrology problems question For the first problem, this seems to be mostly a problem of units conversion and minding significant digits! Since a gallon is 231 in³, let's convert all units to inches. We are told that through evaporation, the pool's depth decreases by ?d = 2.35 in. Since the pool is rectangular, the area A of the surface is: $A=(5.0\text{ m}\)$$12\text{ m}$$$$\frac{1\text{ in}}{0.0254\text{ m}}$$^2\approx9.3\,\times\,10^4\text{ in^2}$ Thus, the volume V lost to evaporation is: $V=A\cdot\Delta d\approx2.2\,\times\,10^5\text{ in^3}\cdot\frac{1\text{ gal}}{231\text{ in^3}}\approx950\text{ gal}$ For the second problem, what principles and equations are you given to work with?

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