For an ideal gas at constant temperature with fixed amount of substance

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

Problem

For an ideal gas at constant temperature with fixed amount of substance, the product

PV

remains constant. At an instant when the pressure is

200\text{ kPa}

and increasing at

15\text{ kPa/min}

, the volume is

0.040\text{ m}^3

. Determine the instantaneous rate of change of the volume (include correct units).