Step 1
Charles' law states that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature if the pressure remains constant.
Mathematically:
[tex]\frac{V1}{T1}=\frac{V2}{T2}[/tex]----------------
Step 2
Information provided:
V1 = volume 1 = 10.0 L
T1 = temperature 1 = 298 K
V2 = volume 2 = 15.0 L
T2 = temperature 2 = unknown
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Step 3
Procedure:
[tex]\begin{gathered} \frac{V1}{T1}=\frac{V2}{T2} \\ T2=\frac{V2}{V1}xT1 \\ T2=\frac{15.0\text{ }L}{10.0\text{ }L}x298K=447K \end{gathered}[/tex]Answer: T2 = 447 K
