Answer: The new volume of the balloon is 197.31 L.
Explanation:
Given: [tex]V_{1}[/tex] = 38.5 L, [tex]T_{1} = 8^{o}C[/tex]
[tex]V_{2}[/tex] = ?, [tex]T_{2} = 41^{o}C[/tex]
According to Charles law, at constant pressure the volume of a gas is directly proportional to temperature.
Formula used to calculate the new volume is as follows.
[tex]\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}[/tex]
Substitute the values into above formula as follows.
[tex]\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}\\\frac{38.5 L}{8^{o}C} = \frac{V_{2}}{41^{o}C}\\V_{2} = \frac{38.5 L \times 41^{o}C}{8^{o}C}\\= 197.31 L[/tex]
Thus, we can conclude that the new volume of the balloon is 197.31 L.
