Answer : The final temperature of the gas must be [tex]33.596^oC[/tex]
Solution : Given,
Initial volume of gas = 2.49 L
Final volume of gas = 4.29 L
Initial temperature of gas = [tex]19.5^oC[/tex]
According to the Charles' law, the volume of gas is directly proportional to the temperature of the gas at constant pressure.
[tex]V\propto T[/tex]
[tex]\frac{V_1}{V_2}=\frac{T_1}{T_2}[/tex]
Now put all the given values in this formula, we get the final temperature of the gas.
[tex]\frac{2.49L}{4.29L}=\frac{19.5^oC}{T_2}[/tex]
By rearranging the term, we get
[tex]T_2==33.596^oC[/tex]
Therefore, the final temperature of the gas must be [tex]33.596^oC[/tex]
