If #8 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 #9 L#?

Answer 1

The gas will exert a pressure of 40 kPa.

We can obtain the final pressure via Boyle's Law:

Let's identify the known and unknown variables:

#color(purple)("Knowns:")#
- Initial Volume
- Final Volume
- Initial Pressure

#color(green)("Unknowns:")#
- Final Pressure

All we have to do is rearrange the equation to solve for the final pressure. We do this by dividing both sides by #V_2# in order to get #P_2# by itself like this:
#P_2=(P_1xxV_1)/V_2#

Now all we do is plug in the values and we're done!

#P_2= (45kPa xx 8cancel"L")/(9\cancel"L")# = #40 kPa#

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Answer 2

Using Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when the temperature remains constant, we can calculate the new pressure using the formula:

P1 * V1 = P2 * V2

Where: P1 = initial pressure (45 kPa) V1 = initial volume (8 L) P2 = final pressure (unknown) V2 = final volume (9 L)

Rearranging the formula to solve for P2:

P2 = (P1 * V1) / V2

Substituting the given values:

P2 = (45 kPa * 8 L) / 9 L P2 = 40 kPa

Therefore, the gas will exert a pressure of 40 kPa if the container's volume changes to 9 L.

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Answer from HIX Tutor

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.

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