Step 1
Charles's law states that the volume (V) of a gas is directly proportional to its absolute temperature. It is assumed that the pressure and the quantity of gas remain constant.
Mathematically:
[tex]\frac{V1}{T1}=\frac{V2}{T2}[/tex]-------------------
Step 2
Information provided:
T1 = 10 °C + 273 = 283 K
V1 = 3 L
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T2 = Unknown
V2 = 10 L
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Step 3
Procedure:
[tex]\begin{gathered} \frac{V1}{T1}=\frac{V2}{T2} \\ T2\text{ =}\frac{V2}{V1}\text{ x T1} \\ T2\text{ = }\frac{10\text{ L}}{3\text{ L}}\text{ }x\text{ }283\text{ K } \\ T2\text{ = 943 K} \end{gathered}[/tex]Answer: 943 K or 670 °C
