how the volume of air in a tank of compressed air would change if the volume of the tank doubled?

To determine how the volume of air in a tank of compressed air would change if the volume of the tank doubled, we first need to understand the relationship between the volume of the tank and the volume of the compressed air.

Assuming that the tank is sealed and the air is under constant pressure, we can apply Boyle's Law to explain the relationship. According to Boyle's Law, the volume of a gas is inversely proportional to the pressure when temperature remains constant.

When the volume of the tank doubles, the pressure remains the same, and thus the volume of the compressed air inside will also double.

Here is an equation that represents this relationship:

(Volume of Tank 1 * Pressure of Air 1) = (Volume of Tank 2 * Pressure of Air 2)

If we assume that the pressure remains constant, the equation becomes:

(Volume of Tank 1) = (2 * Volume of Tank 2)

In simpler terms, the volume of the compressed air will also double when the tank's volume is doubled, assuming constant pressure.

In conclusion, if you double the volume of the tank holding compressed air, the volume of the air inside will also double, provided that the pressure remains constant.