Question

For a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. The function v=18000/p relates the volume in cubic inches and pressure in pounds per square inch of a gas. What is the volume when the pressure is 900 pounds per square inch?

Answer 1

The relation between pressure and volume is given as
v = 18000/p
where
v = volume, in³
p = pressure, lb/in²

When the pressure is p = 900 lb/in², then the volume is
v = 18000/900 = 20 in³

Answer: 20 in³

Answer 2

Answer:

Volume of the gas is 20 cubic inches.

Step-by-step explanation:

Inverse proportion: Let x and y be two quantities are said to be inverse proportion or inversely proportional if one quantity increases at the same rate the other decreases.

$x \propto \frac{1}{y}$ or

$x = \frac{k}{y}$ ⇒$k =xy$   where k is constant.

Since, it is given that the volume of gas is inversely propotional to its pressure.

Given the function:  

$v = \frac{18000}{p}$           ......[1] ; where volume in cubic inches and pressure in pounds per square.

To find the volume in cubic inches.

The pressure (p) = 900 pounds per square inch.

Substitute the value of p in [1];

$v = \frac{18000}{900}= 20 in^3$

Therefore, the volume(v) = 20 cubic inches when the pressure is 900 pounds per square inch.