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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?

Answer 1

Nathan Ashcroft

#2.4 mol#

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#

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Answer 2

Isabella Alvarez

To maintain constant temperature and pressure, 3 moles of gas must be injected into the container.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.