# A container with a volume of #"16 L"# contains a gas with a temperature of #"180 K"#. If the temperature of the gas changes to #"360 K"# without any change in pressure, what must the container's new volume be?

The final volume will be exactly

This is an illustration of Charles' law, which states that the Kelvin temperature is directly proportional to the volume of a given amount of a gas at constant pressure.

You should use the following equation:

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Using the ideal gas law equation (PV = nRT), where (P) is pressure, (V) is volume, (n) is the number of moles of gas, (R) is the ideal gas constant, and (T) is temperature in Kelvin, we can rearrange the equation to solve for (V). Since the pressure is constant, we have:

(V_1 / T_1 = V_2 / T_2)

Substituting the given values, we get:

(16 , \text{L} / 180 , \text{K} = V_2 / 360 , \text{K})

Solving for (V_2), we find:

(V_2 = (16 , \text{L} \times 360 , \text{K}) / 180 , \text{K} = 32 , \text{L})

Therefore, the container's new volume must be (32 , \text{L}).

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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 with a volume of #4 L# contains a gas with a temperature of #720^o K#. If the temperature of the gas changes to #420^o K# without any change in pressure, what must the container's new volume be?
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- A container has a volume of #72 L# and holds #6 mol# of gas. If the container is compressed such that its new volume is #36 L#, how many moles of gas must be released to maintain a constant temperature and pressure?
- The gas inside of a container exerts #15 Pa# of pressure and is at a temperature of #275 ^o K#. If the pressure in the container changes to #32 Pa# with no change in the container's volume, what is the new temperature of the gas?
- A container with a volume of #12 L# contains a gas with a temperature of #140^o C#. If the temperature of the gas changes to #490 ^o K# without any change in pressure, what must the container's new volume be?

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