Considering the Charles' Law, the original volume is 98.22 mL.
Charles' Law
Charles' Law consists of the relationship that exists between the volume and the temperature of a certain amount of ideal gas, which is maintained at a constant pressure.
This law states that for a given sum of gas at a constant pressure, as the temperature increases, the volume of the gas increases and as the temperature decreases, the volume of the gas decreases because the temperature is directly related to the energy of movement that they have. the gas molecules. That is, the volume is directly proportional to the temperature of the gas.
Mathematically, Charles' law states that 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, the following is true:
[tex]\frac{V1}{T1}=\frac{V2}{T2}[/tex]
Original volume in this case
In this case, you know:
- V1= ?
- T1= 150 °C= 423 K (being 0 °C= 273 K)
- V2= 75 mL
- T2= 50 °C= 323 K
Replacing in Charles's law:
[tex]\frac{V1}{423 K}=\frac{75 mL}{323 K}[/tex]
Solving:
[tex]V1=\frac{75 mL}{323 K}423 K[/tex]
V1= 98.22 mL
In summary, the original volume is 98.22 mL.
Learn more about Charles's law:
https://brainly.com/question/4147359
