QuestionMay 21, 2025

A geochemist measures the concentration of salt dissolved in Lake Parsons and finds a concentration of 68.gcdot L^-1 The geochemist also measures the concentration of salt in several nearby non-isolated lakes and finds an average concentration of 6.6gcdot L^-1 Assuming the salt concentration in 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.

A geochemist measures the concentration of salt dissolved in Lake Parsons and finds a concentration of 68.gcdot L^-1 The geochemist also measures the concentration of salt in several nearby non-isolated lakes and finds an average concentration of 6.6gcdot L^-1 Assuming the salt concentration in 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.
A geochemist measures the concentration of salt dissolved in Lake Parsons and finds a concentration of
68.gcdot L^-1 The geochemist also measures the
concentration of salt in several nearby non-isolated lakes and finds an average concentration of
6.6gcdot L^-1
Assuming the salt concentration in 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.

Solution
4.6(203 votes)

Answer

930\% Explanation 1. Define Initial and Final Concentrations Initial concentration C_i = 6.6 \, g\cdot L^{-1}; Final concentration C_f = 68 \, g\cdot L^{-1}. 2. Calculate Evaporation Percentage Use the formula for percentage change: \text{Percentage Evaporated} = \left(\frac{C_f - C_i}{C_i}\right) \times 100. 3. Perform Calculation \text{Percentage Evaporated} = \left(\frac{68 - 6.6}{6.6}\right) \times 100 = \left(\frac{61.4}{6.6}\right) \times 100 \approx 930.30\%. 4. Adjust Significant Digits The initial concentration has two significant digits, so round the final answer to two significant digits.

Explanation

1. Define Initial and Final Concentrations<br /> Initial concentration $C_i = 6.6 \, g\cdot L^{-1}$; Final concentration $C_f = 68 \, g\cdot L^{-1}$.<br /><br />2. Calculate Evaporation Percentage<br /> Use the formula for percentage change: $\text{Percentage Evaporated} = \left(\frac{C_f - C_i}{C_i}\right) \times 100$.<br /><br />3. Perform Calculation<br /> $\text{Percentage Evaporated} = \left(\frac{68 - 6.6}{6.6}\right) \times 100 = \left(\frac{61.4}{6.6}\right) \times 100 \approx 930.30\%$.<br /><br />4. Adjust Significant Digits<br /> The initial concentration has two significant digits, so round the final answer to two significant digits.
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