A sample of gas obeys where is pressure in atmospheres and is volume in liters

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A sample of gas obeys

PV=80

where

P

is pressure in atmospheres and

V

is volume in liters. When

P=2\text{ atm}

and decreasing at

0.10\text{ atm/s}

, what is

\dfrac{dV}{dt}

in liters per second? (a)

8\text{ L/s}

(b)

0.20\text{ L/s}

(c)

2\text{ L/s}

(d)

-2\text{ L/s}