WEBVTT
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problem. 47 says that an aerosol can containing 400
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milliliters of compressed gas at 5.2 atmospheres is expelled into
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a large plastic bag with a volume of 2.14 leaders
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. So this problem asks you what the pressure of
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the gas is once it leaves, you can into
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the plastic bag. So the way that you can
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solve this iss, Um uh, by using properties
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of gas where, um, the the pressure and
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the volume, um, scale together and are equivalent
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across two systems if you're, you know, talking
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about the same the same gas. So in this
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case, it's almost exactly like I'm familiar with the
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c one of you once he to be thio equation
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. Where if you're making certain chemicals in the lab
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, um, the ultimately the concentration in the volume
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from one solution to the other, um have,
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uh, proportional relationships. So we can use this
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equation then and the information given to us from the
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problem thio to solve essentially for, um, uh
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, P, too. So in the aerosol can
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we know that the pressure is 5.20 atmospheres and we
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know that the can has a 400 militar volume.
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So the first thing that we can do here is
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convert this Miller leaders two liters by introducing this conversion
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factor, you know, that we want to solve
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for, um, Pete to here. And we
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have a volume of this plastic bag at 2.14 liters
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. So basically, uh, we can just solve
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through, um by dividing each side by 2.14 leaders
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giving us at the pressure of this plastic bag or
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pee too. ISS 0.972 atmospheres.