Answer:
7.182 L
Explanation:
Concept tested: Charles's law
From the question we are given;
- Initial temeperature, T1 as 275 K
- Initial volume, V1` as 5L
- Final temperature, T2 = 395 K
We are required to calculate the final volume;
- According to Charles's law, the volume of a fixed mass of a gas and its absolute temperature are directly proportional at constant pressure.
- That is; [tex]V\alpha T[/tex]
- Mathematically, [tex]V = kT[/tex], thus, [tex]k=\frac{V}{T}[/tex]
- Therefore, at varying temperature and volume;
[tex]\frac{V1}{T1}=\frac{V2}{T2}[/tex]
Rearranging the formula we can get final volume;
[tex]V2=\frac{V1T2}{T1}[/tex]
[tex]V2=\frac{(5L)(395K)}{275}[/tex]
[tex]V2=7.182L[/tex]
Thus, the ending volume will be 7.182 L
