# A container has a volume of #4 L# and holds #2 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?

We can solve this problem by using the quantity-volume relationship of gases, illustrated by Avogadro's law:

This is the total number of moles that satisfies the equation; we're asked to find how many need to be injected. The number of moles that you need to add is simply the total final moles minus the initial moles:

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6 mol

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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.

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.

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.

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