Question

4. At a pressure of 5.0 atmospheres, a sample of gas occupies 40 liters. What volume will the same sample hold at 1.0 atmosphere? a.0.0050 Lb. 200 Lc.0.13 Ld. 8.0 L

Answer 1

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

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Step 2

Information provided:

P1 = 5.0 atm

V1 = 40 L

----

P2 = 1.0 atm

V2 = unknown

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Step 3

V2 is found from (1) as follows:

`\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}`

Answer: b. 200 L