Answered: For a certain fruit juice, [H+] = 5.0…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Chemists define pH by the formula

pH = − log([H⁺]), where [H⁺]

is the hydrogen ion concentration measured in moles per liter. Solutions with a pH of 7 are said to be neutral, whereas a pH less than 7 is classified as an acid and a pH greater than 7 is classified as a base.

For a certain fruit juice,

[H⁺] = 5.0 × 10⁻⁴.

Determine the pH. (Round your answer to one decimal place.)

Expert Solution

Step 1

Given

[H⁺] = 5.0×10^-4

Therefore

pH = - log([H⁺])

pH = -log(5.0×10^-4)

Step 2

Since ,log(m×n) = log (m )+ log( n)

Therefore

pH = -log(5) - log(10^-4)

Since log 5 = 0.70 and log(10^-4) = -4

pH = -0.70 -(-4)

pH = -0.70 + 4

pH = 3.30

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