Question

The volume of a gas in a container at a constant temperature varies inversely as the pressure. The volume is 25 cubic centimeter at a pressure of 11 pounds. Use a proportion to find the pressure when the volume is 59 cubic centimeters.

Answer 1

Pressure would be approximately 4.66 pounds.

Explanation:

Given:

Volume of gas (V) = 25 cubic cm

Pressure of the gas (P) = 11 pounds

We need to find the pressure when volume is 59 cubic cm.

Solution:

Now Given:

`V` ∝
`(1)/(P)`

so we can say that;

`V =\frac kP`

where k is a constant.

When V = 25 cubic cm, P =11 pounds.

`25 = (k)/(11)\\\\k= 25* 11 = 275\ cm^3.pounds`

So the equation becomes as.

`V = (275)/(P)`

Now we need to find the pressure when Volume is 59 cubic cm.

`59 =(275)/(P)\\\\P=(275)/(59)\\\\P\approx 4.66\ pounds`

Hence Pressure would be approximately 4.66 pounds.