Considering the Charles's law, the volume at 22.8 °C is 10.9978 L.
Charles's law establishes the relationship between the temperature and the volume of a gas when the pressure is constant.
Charles's law says that for a given sum of gas at constant pressure, as the temperature increases, the volume of the gas increases, and as the temperature decreases, the volume of the gas decreases. That is, the volume is directly proportional to the temperature of the gas.
Mathematically, Charles' law is a law that says that when the amount of gas and pressure remain constant, the ratio between volume and temperature will always have the same value:
[tex]\frac{V}{T} =k[/tex]
Considering an initial state 1 and a final state 2, it is fulfilled:
[tex]\frac{V1}{T1} =\frac{V2}{T2}[/tex]
In this case, you know that:
Replacing in Charles's law:
[tex]\frac{12 L}{273 K} =\frac{V2}{250.2 K}[/tex]
Solving:
V2= [tex]250.2 K x\frac{12 L}{273 K}[/tex]
V2= 10.9978 L
Finally, the volume at 22.8 °C is 10.9978 L.
Learn more about Charles's law:
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