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A 11.3-mL sample of an HCl solution has a pH of 2.085. What volume of water...

A 11.3-mL sample of an HCl solution has a pH of 2.085. What volume of water must be added to change the pH to 4.170? (in mL)

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Answer #1

pH = 2.085 ,. [H+]1= 10-pH = 10-2.085 = 8.222×10-3M

pH = 4.170, . [H+]2 = 10-4.170 = 6.76×10-5M

Since addition of water doesn't change the moles of H+ ions in the solution. We can apply M1V1= M2V2

8.222×10-3M × 11.3ml = 6.76×10-5 M × V2

V2 (ml) = 8.222×10-3 ×11.3/(6.76×10-5) = 13.7439×102ml = 1374.39ml

Volume of water added to change the desired pH = 1374.39ml - 11.3ml = 1363.09ml = 1363.1ml (answer)

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