A container has a volume of $24 L$ and holds $32 mol$ of gas. If the container is compressed such that its new volume is $9 L$ , how many moles of gas must be released from the container to maintain a constant temperature and pressure?

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Answer 1 · 2016-08-26T23:17:44

12 moles of gas must be released

Let's use Avogadro's law to calculate the answer:

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

Identify your known and unknown variables:

$color(magenta)("Knowns:"$
$v_1$ = 24 L
$v_2$ = 9 L
$n_1$ = 32 mol

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

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:

$n_2=(9cancelLxx32mol)/(24cancel"L")$ = $12 mol$

A container has a volume of 24 L24 L and holds 32 mol32 mol of gas. If the container is compressed such that its new volume is 9 L9 L, how many moles of gas must be released from the container to maintain a constant temperature and pressure?