Question

Question #a485f

Answer 1

The new volume would be 225 mL. Half the volume at twice the pressure.

Explanation:

This behaves according to Boyle's law which tells us that the volume of a gas and its pressure are inversely proportional. That means if one is doubled, the other is reduced by a factor of two. Triple the pressure, and the volume is one-third of what it was before.

In equation form:

`P_2*V_2 = P_1*V_1`

So,

`V_2 = (P_1*V_1)/P_2`

In your problem, the doubling of the pressure can be taken to mean

`P_1/P_2 = 1/2`

Now, the equation reads

`V_2 = (1/2) V_1`

So, there is our result. If `V_2` is 450, `V_2` must be 1/2 of this.