Step 1
Boyle's Law states that the pressure exerted by a gas is inversely proportional to the volume occupied by it at a constant mass and temperature.
Mathematically:
[tex]P1\text{ x V1 = P2 x V2}[/tex]P1 = pressure 1
V1 = volume 1
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P2 = pressure 2
V2 = volume 2
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Step 2
Information provided:
V1 = 10.5 L
P1 = 640 mmHg
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P2 = unknown
V2 = 13700 mL
(1 L = 1000 mL => 13700 mL x (1 L/1000 mL) = 13.7 L
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Step 3
From step 1, P2 is found as follows:
P1 x V1 = P2 x V2
(P1 x V1)/V2 = P2
(640 mmHg x 10.5 L)/13.7 L = 491 mm Hg approximately
Answer: P2 = 491 mmHg