For an ideal sample of gas with constant amount and temperature

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For an ideal sample of gas with constant amount and temperature, the product of pressure

P

(in atm) and volume

V

(in L) remains

24

(i.e.,

PV=24

). When the pressure is

2\text{ atm}

and decreasing at

0.05\text{ atm/s}

, determine

\dfrac{dV}{dt}

with units.