# A container has a volume of #1 L# and holds #16 mol# of gas. If the container is expanded such that its new volume is #27 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

Using the Ideal Gas Law:

and

Dividing [2] by [1]

Subtract 16 to find the amount that you must add:

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Using the ideal gas law ( PV = nRT ), where ( P ) is pressure, ( V ) is volume, ( n ) is the number of moles of gas, ( R ) is the gas constant, and ( T ) is temperature, we can find that the number of moles of gas needed to maintain constant temperature and pressure when the volume increases to 27 L is approximately 1.5 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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