Question

A sample of gas is at atmospheric pressure (100 000 Pa) and has volume 50cm3

Determine the new pressure if the volume is halved.

Please could i have the way you did it as well as i have more question on it

Answer 1

200000Pa

Step-by-step explanation:

Given parameters:

Initial pressure = 100000Pa

Initial volume = 50cm³

New volume = 25cm³

Unknown:

New pressure = ?

Solution:

This problem is a pressure -volume relationship. If we assume that temperature is constant in this scenario, we can apply Boyle's law to solve for the new volume.

According to Boyle's law "The volume of a given mass of gas is inversely proportional to the pressure provided that temperature remains constant".

Mathematically;

P₁V₁ = P₂V₂

P and V are pressure and volume.

1 and 2 are the initial and final states.

To solve this problem, substitute and solve for the unknown:

100000 x 50 = P₂ x 25

P₂ = 200000Pa