# The gas inside of a container exerts #15 Pa# of pressure and is at a temperature of #450 ^o K#. If the pressure in the container changes to #36 Pa# with no change in the container's volume, what is the new temperature of the gas?

The new temperature is

We apply Gay Lussac's Law

The final temperature is

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The new temperature of the gas is 1080 K.

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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.

- A container has a volume of #19 L# and holds #6 mol# of gas. If the container is compressed such that its new volume is #5 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?
- If #9/4 L# of a gas at room temperature exerts a pressure of #15 kPa# on its container, what pressure will the gas exert if the container's volume changes to #7/3 L#?
- A container with a volume of #5 L# contains a gas with a temperature of #400^o K#. If the temperature of the gas changes to #250^o K# without any change in pressure, what must the container's new volume be?
- A container with a volume of #6 L# contains a gas with a temperature of #270^o K#. If the temperature of the gas changes to #330 ^o K# without any change in pressure, what must the container's new volume be?
- The gas inside of a container exerts #24 Pa# of pressure and is at a temperature of #180 ^o K#. If the pressure in the container changes to #40 Pa# with no change in the container's volume, what is the new temperature of the gas?

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