A container has a volume of 5 L and holds 1 mol of gas. If the container is expanded such that its new volume is 12 L, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

1 Answer
Oct 1, 2016

2.4 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(pink)("Knowns:"
v_1= 5 L
v_2= 12 L
n_1= 1 mol

color(green) ("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=(12cancelLxx1mol)/(5\cancel"L") = 2.4 mol