Question #24a0b

1 Answer
Apr 15, 2017

Answer:

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"#