Question

If the pressure exerted on a confined gas is doubled, what happens to the volume of the gas?

Answer 1

`"Boyle's Law"` holds that at constant,,,,,,,,,,,,

Explanation:

`"Boyle's Law"` holds that at constant temperature, and constant amount of gas, pressure is inversely proportional to volume:

`Pprop1/V`, or `P_1V_1=P_2V_2`.

And thus `V_2` `=` `(P_1V_1)/P_2`

But the boundary conditions of the problem state that `P_2=2P_1`:

Thus `V_2` `=` `(cancel(P_1)V_1)/(2cancel(P_1))`

So `V_2=V_1/2`

So the volume is HALVED.