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Lakes that have been acidified by acid rain (see Chemistry in the Environment box in

Chapter 14, Problem 118P

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QUESTION:

Lakes that have been acidified by acid rain (see Chemistry in the Environment box in Section 5.9) can be neutralized by liming, the addition of limestone \(\mathrm{(CaCO_3)}\). How much limestone in kilograms is required to completely neutralize a \(\mathrm{3.8 \times 10^9~ L}\) lake with a pH of 5.5?

Equation Transcription:

Text Transcription:

(CaCO_3)

3.8 x 10^9 L

Questions & Answers

QUESTION:

Lakes that have been acidified by acid rain (see Chemistry in the Environment box in Section 5.9) can be neutralized by liming, the addition of limestone \(\mathrm{(CaCO_3)}\). How much limestone in kilograms is required to completely neutralize a \(\mathrm{3.8 \times 10^9~ L}\) lake with a pH of 5.5?

Equation Transcription:

Text Transcription:

(CaCO_3)

3.8 x 10^9 L

ANSWER:

Solution: Here, we are going to calculate the mass of limestone required to completely neutralize the lake.

Step1:

pH is the negative logarithm to base 10 of hydrogen ion concentration.

pH = - log[H+ ]

Step2:

Given, pH of the Lake = 5.5

                pH =  - log[H+]

Therefore, [H+] = 10-pH 

                     = 10-5.5

                     = 3.16 x 10-6 M

Therefore, number of moles of hydrogen ion = Volume of the lake x [H+]

                     

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