The pH of a chemical solution is defined by

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The pH of a chemical solution is defined by pH=−log⁡10[H+]\text{pH}=-\log_{10}[H^+], where [H+][H^+] is the hydrogen-ion concentration in mol/L. Measurements give t (s): 18 19 pH: 7.25 7.22 Estimate the instantaneous rate of change of [H+][H^+] with respect to time at t=18.5 t=18.5\,s. Express your answer in mol·L−1^{-1}·s−1^{-1} using scientific notation.

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