The concentration (in mol/L) of a reactant depends differentiably on the temperature…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The concentration

C

(in mol/L) of a reactant depends differentiably on the temperature

T

(in °C). At

T=25°\text{C}

, the derivative is measured to be

\dfrac{dC}{dT}=0.015\,\text{mol}\,(\text{L}\cdot°\text{C})^{-1}

. Which statement most accurately describes this finding? (a) Increasing the concentration by

1

mol/L near

25^{\circ}\text{C}

raises the temperature by about

0.015^{\circ}\text{C}

. (b) The concentration equals approximately

0.015

mol/L when the temperature is

25^{\circ}\text{C}

. (c) Raising the temperature by

1^{\circ}\text{C}

near

25^{\circ}\text{C}

increases the concentration by about

0.015

mol/L. (d) Raising the temperature by

10^{\circ}\text{C}

near

25^{\circ}\text{C}

increases the concentration by about

0.015

mol/L.