.The geochemist also A geochemist measures the concentration of salt dissolved i

Question

.The geochemist also A geochemist measures the concentration of salt dissolved in Lake Parsons, an isolated salt lake. He finds a concentration of 74. g.L measures the concentration of salt in several nearby non-isolated lakes, and finds an average concentration of 65 g-L -1 Assuming the salt concentration i Lake Parsons before it became isolated was equal to the average salt concentration in nearby non-isolated lakes, calculate the percentage of Lake Parsons which has evaporated since it became isolated. Be sure your answer has the correct number of significant digits. 0%

Explanation / Answer

Let us say that Lake Parsons water content initially = X and salt content = Y

Therefore Y/X = 6.5

or, Y = 6.5X       

After Lake Parsons became isolated, its salt content remained unchanged i.e. Y

However, its water content decreased due to evaporation. Suppose now its water content = Z

Therefore we can write

Y/Z = 74

or, 6.5X/Z = 74

or, X/Z = 74/6.5

or, Z/X = 6.5/74

or, Z/X = 0.0878

or, % Z/X = 8.78

Therefore the Lake Parsons have now 8.78 % of the initial water.

Therefore the percentage of Lake Parsons evaporated = (100 - 8.78) = 91.22 = 91 % (rounding to 2 significant digits)

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