At , the temperature of a chemical reaction is changing at , while the concentration…

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

Problem

At t=4 st=4\text{ s}, the temperature T(t)T(t) of a chemical reaction is changing at T′(4)=0.20 ∘ ⁣C/sT'(4)=0.20\,^{\circ}\!\text{C/s}, while the concentration C(t)C(t) of a reactant is changing at C′(4)=−0.05 mol (L−1 ⁣⋅s−1)C'(4)=-0.05\,\text{mol}\,(\text{L}^{-1}\!\cdot\text{s}^{-1}). Describe which quantity is changing more rapidly in magnitude and state its instantaneous rate of change with units.

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