A container has a volume of 24 L24L and holds 32 mol32mol of gas. If the container is compressed such that its new volume is 9 L9L, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer
Aug 26, 2016

12 moles of gas must be released

Explanation:

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:"Knowns:
v_1v1= 24 L
v_2v2= 9 L
n_1n1= 32 mol

color(maroon) ("Unknowns:"Unknowns:
n_2n2

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

n_2=(v_2xxn_1)/v_1n2=v2×n1v1

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

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