A container has a volume of #2 L# and holds #1 mol# of gas. If the container is expanded such that its new volume is #8 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?
4 moles of gas must be injected into the container.
Let's use Avogadro's law:
The number 1 represents the initial conditions and the number 2 represents the final conditions.
• Identify your known and unknown variables:
• Rearrange the equation to solve for the final number of moles:
• Plug in your given values to obtain the final number of moles:
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According to Avogadro's law, at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of the gas. Therefore, to maintain the same temperature and pressure when the volume increases from 2 L to 8 L, the number of moles of gas must also increase proportionally.
Using the equation:
(Volume 1 / Moles 1) = (Volume 2 / Moles 2),
and plugging in the given values:
(2 L / 1 mol) = (8 L / x mol),
we can solve for x to find the number of moles of gas needed for the new volume.
2 L / 1 mol = 8 L / x mol, 2x = 8, x = 4 moles.
Therefore, 4 moles of gas must be injected into the container to maintain a constant temperature and pressure.
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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.
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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