Question

The pressure, P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of gas is initially at pressure of 84 PA at a volume of 51 L. If the volume is expanded to 153 L, what will the new pressure be?

A.) 495 Pa
B.) 153 Pa
C.) 17 Pa
D.) 28 Pa

Answer 1

Option D.) 28 Pa

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=84\ Pa,V=51\ L`

substitute and solve for k

`k=84*51=4,284`

step 2

If the volume is expanded to 153 L, what will the new pressure be?

we have

The equation is equal to

`P*V=4,284`

For
`V=153\ L`

substitute

`P*153=4,284`

`P=4,284/153`

`P=28\ Pa`