Question 86986
You can write the proportion from the given data:
The pressure varies inversely as the volume, so:
{{{P = k/V}}} where k is the proportionality constant. This can be written: {{{k = PV}}}
When:
P = 16 Pascals.
V = 84 liters, then:
{{{k = (16)(84)}}}
{{{k = 1344}}}
So the proportionality equation is:
{{{P = 1344/V}}} or 
{{{V = 1344/P}}} Substitute V = 12 Pascals and solve for V.
{{{V = 1344/12}}}
{{{V = 112}}}Liters.