Solve for pH pHlog10H Find the pH if the H96106SolutionpH

Solve for pH: pH=-log10{H^+} Find the pH if the {H^+}=9.6*10^-6

Solution

pH = - log₁₀ (9.6*10^-6) = log₁₀1 - log₁₀ (9.6*10^-6) = log₁₀ [ 1/ (9.6*10^-6) ] = log₁₀ ( 10⁶ / 9.6 ) = log₁₀ 10⁶ - log₁₀ 9.6 = 6 log₁₀ (10) - log₁₀ 9.6 = 6 – 0.982271233 = 5.017728767 = 5.02 ( on rounding off to 2 decimal places)

NOTE: We have used the basic logarithmic facts that log₁₀ 1 = log₁₀ 10⁰ = 0, log₁₀ 10 = 1, log₁₀ a – log₁₀ b = log₁₀ ( a/b) and log₁₀ ( mⁿ) = n log₁₀ m.