Question

A 1.50-liter sample of dry air in a cylinder exerts a pressure of 3.0 atmospheres at a temperature of 25°C. Without change in temperature, a piston is moved in the cylinder until the pressure in the cylinder is reduced to 1.0 atmosphere. What is the volume of the gas? (Be sure to use the correct number of significant figures.) 0.22 L 0.50 L 2.0 L 4.5 L

Answer 1

4.5L

Step-by-step explanation:

Given parameters:

Inital volume, V₁ of the dry air = 1.50L

Initial pressure P₁ = 3.0atm

Temperature = 25°C

Final pressure P₂ = 1.0atm

Final volume of gas, V₂ = ?

To solve gas related problem, we apply Boyle's law based on the parameters given.

Boyle's law states that the volume of a fixed mass of gas is inversely proportional to the pressure provided that temperature is constant.

The law is simply expressed as:

P₁V₁ = P₂V₂

From the parameters given, the unknown V₂ which is the final volume.

Making V₂ the subject of the equation gives:

V₂ =
`(P_(1) V_(1) )/(P_(2) )`

V₂ =
`(3x1.5)/(1)` = 4.5L