Question

1. pressure and volume are inversely related. when the pressure on a gas is doubled, what happens to the volume?

it is halved.
it is doubled.
it is a constant.
it doesnt change.

Explanation:

Step1: Inverse relationship formula

For two inversely related quantities \(P\) (pressure) and \(V\) (volume), we have \(P_1V_1 = P_2V_2\). Let the initial pressure be \(P_1\) and initial volume be \(V_1\). The new pressure \(P_2 = 2P_1\).

Step2: Substitute into the formula

Substitute \(P_2 = 2P_1\) into \(P_1V_1 = P_2V_2\). We get \(P_1V_1=(2P_1)V_2\). Divide both sides of the equation by \(2P_1\) (assuming \(P_1
eq0\)). So, \(V_2=\frac{P_1V_1}{2P_1}=\frac{V_1}{2}\).

Answer:

It is halved.