# How can I calculate the buoyant force of a boat?

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The buoyant force of a boat can be calculated using the formula: Buoyant Force = Weight of Fluid Displaced = Density of Fluid × Volume of Fluid Displaced × Acceleration due to Gravity

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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.

- If #9/7 L# of a gas at room temperature exerts a pressure of #12 kPa# on its container, what pressure will the gas exert if the container's volume changes to #3/4 L#?
- A container has a volume of #24 L# and holds #32 mol# of gas. If the container is compressed such that its new volume is #14 L#, how many moles of gas must be released from the container to maintain a constant temperature and pressure?
- A container has a volume of #4 L# and holds #8 mol# of gas. If the container is compressed such that its new volume is #3 L#, how many moles of gas must be released to maintain a constant temperature and pressure?
- The gas inside of a container exerts #6 Pa# of pressure and is at a temperature of #360 ^o K#. If the pressure in the container changes to #42 Pa# with no change in the container's volume, what is the new temperature of the gas?
- If #32 L# of a gas at room temperature exerts a pressure of #6 kPa# on its container, what pressure will the gas exert if the container's volume changes to #8 L#?

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