Answer:
Final volume, V2 = 13.18 Liters
Explanation:
Given the following data;
Initial volume = 9.9 L
Initial temperature = 303 K
Final temperature = 403 K
To find the final volume, we would use Charles law;
Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.
Mathematically, Charles' law is given by the formula;
[tex] VT = K[/tex]
[tex] \frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}[/tex]
Where;
[tex] \frac{V1}{T1} = \frac{V2}{T2}[/tex]
Making V2 as the subject formula, we have;
[tex] V_{2}= \frac{V1}{T1} * T_{2}[/tex]
[tex] V_{2}= \frac{9.9}{303} * 403 [/tex]
[tex] V_{2}= 0.0327 * 403 [/tex]
Final volume, V2 = 13.18 Liters