Question

What was the original volume of a gas that has changed from a pressure of 6.20 atm to 9.150 atm and a new volume of 322 mL?

Answer 1

The original volume was 475 mL.

Explanation:

Since only the pressure changes, we can use Boyle's Law to solve this problem.

Boyle's Law is

`color(blue)(bar(ul(|color(white)(a/a)p_1V_1 = p_2V_2color(white)(a/a)|)))" "`

We can rearrange Boyle's Law to get

`V_1 = V_2 × p_2/p_1`

In this problem,

`p_1 = "6.20 atm"; color(white)(ll)V_1 = "?"`
`p_2 ="9.150 atm"; V_2 = "322 mL"`

∴ `V_1 = "322 mL" × (9.150 color(red)(cancel(color(black)("atm"))))/(6.20 color(red)(cancel(color(black)("atm")))) = "475 mL"`