# A container has a volume of #8 L# and holds #1 mol# of gas. If the container is expanded such that its new volume is #9 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

The law of the perfect gasses says:

and we can divide the first for the second:

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To maintain a constant temperature and pressure, 1 mole of gas must be injected into the container.

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- A container with a volume of #12 L# contains a gas with a temperature of #210 K#. If the temperature of the gas changes to #420 K# without any change in pressure, what must the container's new volume be?
- A container has a volume of #3 L# and holds #2 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?
- The gas inside of a container exerts #18 Pa# of pressure and is at a temperature of #350 ^o K#. If the temperature of the gas changes to #190 ^oK# with no change in the container's volume, what is the new pressure of the gas?
- If #9/7 L# of a gas at room temperature exerts a pressure of #8 kPa# on its container, what pressure will the gas exert if the container's volume changes to #3/4 L#?
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