Question

The volume v of a gas kept at constant temperature varies inversely with the pressure p. If the pressure is 24 pounds per square inch, the volume is 15 cubic feet. What will the volume be when the pressure is 30 pounds per square inch?

Answer 1

Answer:

$V=12\ ft^{3}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem

$P*V=k$

step 1

Find the value of K

For $P=24\ psi ,V=15\ ft^{3}$

substitute

$24*15=k$

$k=360$

the equation is $P*V=360$

step 2

For $P=30\ psi ,V=\ ft^{3}$

substitute in the equation

$(30)*V=360$

$V=360/30=12\ ft^{3}$