A container has a volume of 21 L and holds 27 mol of gas. If the container is compressed such that its new volume is 18 L, how many moles of gas must be released from the container to maintain a constant temperature and pressure?

1 Answer
Sep 24, 2016

24.1 mol

Explanation:

Let's use 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.

• Identify your known and unknown variables:

color(brown)("Knowns:"
v_1= 21L
v_2= 18 L
n_1= 27 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=(18cancelLxx27mol)/(21\cancel"L") = 24.1 mol