A container has a volume of $18 L$ and holds $9 mol$ of gas. If the container is compressed such that its new volume is $12 L$ , how many moles of gas must be released from the container to maintain a constant temperature and pressure?

Question

1254 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-14T12:30:41

$color(blue)(" 6 moles of gas must be released."$

The answer can be determined by using Avogadro's law:

$v_1/n_1 = v_2/n_2$

The number 1 represents the initial conditions and the number 2 represents the final conditions.

Let's identify our known and unknown variables.

$color(magenta)("Knowns:"$
$V_1$ = 18 L
$V_2$ = 12 L
$n_1$ = 9 mol

$color(blue)("Unknowns:"$
$n_2$

Rearrange the equation to solve for the final number of moles:

$n_2=(V_2xxn_1)/V_1$

Plug in your given values to obtain the final number of moles:

$n_2=(12 cancelLxx9mol)/(18\cancel"L")$ = $6 mol$

A container has a volume of 18 L18 L and holds 9 mol9 mol of gas. If the container is compressed such that its new volume is 12 L12 L, how many moles of gas must be released from the container to maintain a constant temperature and pressure?