How do gas laws apply to breathing?
According to Boyle's Law, if a gas's temperature remains constant, its pressure will be inversely proportional to its volume.
When we breathe in, the air inside our lungs takes up more space because our chest expands slightly and the rib cage somewhat expands in size and volume.
Due to the pressure difference that results from this increase in volume, air is forced into our lungs because the pressure inside them is now lower than the pressure outside (in the surrounding atmosphere).
The opposite occurs when you exhale: your lungs and rib cage constrict, resulting in a decrease in volume of air inside them, which raises pressure.
This time, there is an external pressure differential, which causes the air to be forced out!
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Gas laws, specifically Boyle's Law and Dalton's Law, apply to breathing by explaining how the volume and pressure of gases in the respiratory system change during inhalation and exhalation. Boyle's Law states that the pressure of a gas is inversely proportional to its volume, so as the volume of the lungs increases during inhalation, the pressure decreases, allowing air to flow into the lungs. Dalton's Law states that the total pressure exerted by a mixture of gases is equal to the sum of the pressures exerted by each gas in the mixture, so the partial pressure of oxygen in the air determines how much oxygen is absorbed into the bloodstream during breathing.
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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.
- 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#?
- If #3/7 L# of a gas at room temperature exerts a pressure of #24 kPa# on its container, what pressure will the gas exert if the container's volume changes to #5/4 L#?

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