Question

use the equation \\(p = \frac{8.31}{v}\\) where \\(p =\\) pressure and \\(v =\\) volume.

what happens to the pressure as the volume approaches 0? explain your reasoning.

Explanation:

Identify the given model

Using the Inverse Variation knowledge point

$$ p = \frac{8.31}{V} $$

Analyze the limit behavior

Using the Rational Function Limits knowledge point

$$ \lim_{V \to 0^+} p = \lim_{V \to 0^+} \frac{8.31}{V} = \infty $$

Answer:

As the volume approaches 0, the pressure increases without bound (approaches infinity).