Answer: The final volume of the balloon is 0.714 L
Explanation:
To calculate the final volume of the balloon, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1\text{ and }T_1[/tex] are the initial volume and temperature of the balloon.
[tex]V_2\text{ and }T_2[/tex] are the final volume and temperature of the balloon.
We are given:
[tex]V_1=0.4L\\T_1=20^oC=(20+273)K=293K\\V_2=?L\\T_2=250^oC=(250+273)K=523K[/tex]
Putting values in above equation, we get:
[tex]\frac{0.4L}{293K}=\frac{V_2}{523}\\\\V_2=\frac{523\times 0.4}{293}=0.714L[/tex]
Hence, the final volume of the balloon is 0.714 L
