# If #7/4 L# of a gas at room temperature exerts a pressure of #16 kPa# on its container, what pressure will the gas exert if the container's volume changes to #13/12 L#?

The pressure is

Using Boyle's Law

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To find the new pressure, use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is constant.

( P_1V_1 = P_2V_2 )

( P_2 = \frac{{P_1V_1}}{{V_2}} )

Substitute the given values:

( P_2 = \frac{{16 \text{ kPa} \times \frac{7}{4} \text{ L}}}{{\frac{13}{12} \text{ L}}} )

( P_2 = \frac{{16 \times 7}}{{4 \times \frac{13}{12}}} )

( P_2 = \frac{{16 \times 7 \times 12}}{{4 \times 13}} )

( P_2 = \frac{{1344}}{{52}} )

( P_2 ≈ 25.85 \text{ kPa} )

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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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- A container has a volume of #2 L# and holds #24 mol# of gas. If the container is expanded such that its new volume is #4 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?
- If #14/3 L# of a gas at room temperature exerts a pressure of #45 kPa# on its container, what pressure will the gas exert if the container's volume changes to #12/5 L#?
- The gas inside of a container exerts #"24 Pa"# of pressure and is at a temperature of #"320 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 #4 L# contains a gas with a temperature of #770^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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