A gas has a volume of 3.77 m³ at 271 kPa.What will be its volume if the pressure is changed to 535 kPa?

Question

Quizplus · Accepted Answer

We can use Boyle's Law to solve this problem. Boyle's Law states that the pressure and volume of a gas are inversely proportional when temperature is constant. In other words, PV = k (where k is a constant).

To solve for the new volume, we can rearrange the equation to get V = k/P. Since the temperature is constant, we can assume that k is also constant. Therefore, we can set up a proportion:

P1V1 = P2V2

Substituting the given values:

(271 kPa)(3.77 m³) = (535 kPa)(V2)

Solving for V2:

V2 = (271 kPa)(3.77 m³) / (535 kPa) = 1.91 m³

Therefore, the answer is (C) 1.91 m³.

A Gas Has a Volume of 3