Question

use the inverse variation equation to fill in the table.
$p = \frac{8.31}{v}$

volume (liters)	pressure (kilopascals)
$b$	0.4
415.5	$c$

$a = \square$, $b = \square$, $c = \square$

Explanation:

Step1: Solve for a (V=83.1)

Substitute $V=83.1$ into $p=\frac{8.31}{V}$
$a = \frac{8.31}{83.1}$

Step2: Calculate value of a

Simplify the fraction
$a = 0.1$

Step3: Solve for b (p=0.4)

Rearrange $p=\frac{8.31}{V}$ to $V=\frac{8.31}{p}$, substitute $p=0.4$
$b = \frac{8.31}{0.4}$

Step4: Calculate value of b

Perform the division
$b = 20.775$

Step5: Solve for c (V=415.5)

Substitute $V=415.5$ into $p=\frac{8.31}{V}$
$c = \frac{8.31}{415.5}$

Step6: Calculate value of c

Simplify the fraction
$c = 0.02$

Answer:

$a=0.1$, $b=20.775$, $c=0.02$