Question

Question #24a0b

Answer 1

The final volume will be 38.7 L.

Explanation:

We can use Avogadro's Law to solve this problem.

The volume of a fixed mass of a gas is directly proportional to the number of moles if the temperature and pressure are constant.

`V/n= k`

In a more usable form, Avogadro's Law becomes

`color(blue)(|bar(ul(color(white)(a/a)V_1/n_1 = V_2/n_2color(white)(a/a)|)))" "`

We can rearrange this equation to get

`V_2 = V_1 × n_2/n_1`

In your problem,

`V_1 = "49.0 L"; n_1 = "1.90 mol"`
`V_2 = "?"; color(white)(mmll)n_2 = "(1.90 - 0.400) mol" = "1.50 mol"`

∴ `V_2 = "49.0 L" × (1.50 color(red)(cancel(color(black)("mol"))))/(1.90 color(red)(cancel(color(black)("mol")))) = "38.7 L"`