Taking into account the Charles's law, the gas occupies a volume of 0.0182 m³ when the temperature is raised to 95.0 °C.
Charles's law shows the relationship between the volume and temperature of a gas sample at constant pressure.
This law states that the volume is directly proportional to the temperature of the gas: if the temperature increases, the volume of the gas increases, while if the temperature of the gas decreases, the volume decreases.
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 an initial state 2:
[tex]\frac{V1}{T1}= \frac{V2}{T2}[/tex]
In this case, you know:
Replacing in Charles's Law:
[tex]\frac{0.0141 m^{3} }{284.5 K}=\frac{V2}{368 K}[/tex]
Solving:
[tex]\frac{0.0141 m^{3} }{284.5 K}x368 K=V2[/tex]
0.0182 m³= V2
Finally, the gas occupies a volume of 0.0182 m³ when the temperature is raised to 95.0 °C.
Learn more about Charles's law:
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