Taking into account the Charles's Law, the new volume of the gas will be 100 mL.
Charles's law is one of the gas laws that relates the volume and temperature of a certain quantity of ideal gas, kept at a 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; whereas if the temperature of the gas decreases, the volume decreases.
Mathematically, Charles's law says that when the amount of gas and pressure are kept constant, the quotient that exists between the volume and the temperature will always have the same value:
[tex]\frac{V}{T}=k[/tex]
Taking into account that conditions 1 of an experiment are modified to final conditions 2, the following is true:
[tex]\frac{V1}{T1}=\frac{V2}{T2}[/tex]
In this case, you know:
- V1= 200 mL
- T1= 600 K
- V2= ?
- T2= 300 K
Replacing in Charles's Law:
[tex]\frac{200 mL}{600 K}=\frac{V2}{300 K}[/tex]
Solving:
[tex]V2=300 Kx\frac{200 mL}{600 K}[/tex]
V2= 100 mL
The new volume of the gas will be 100 mL.
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