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Sagot :
Step 1
Boyle's law states that the volume of a certain mass of a gas, at a constant temperature, varies inversely with the pressure exerted on it.
Mathematically:
P1 x V1 = P2 x V2 (1)
Where,
P1 = initial pressure
V1 = initial volume
----
P2 = final pressure
V2 = final volume
--------------------
Step 2
Information provided:
P1 = 5.0 atm
V1 = 40 L
----
P2 = 1.0 atm
V2 = unknown
---------------------
Step 3
V2 is found from (1) as follows:
[tex]\begin{gathered} P1\text{ x V1 = P2 x V2} \\ \frac{P1\text{ x V1}}{P2}=V2 \\ \frac{5.0\text{ atm x 40 L}}{1.0\text{ atm}}=\text{ 200 L} \end{gathered}[/tex]Answer: b. 200 L
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