Answer:
[tex]V_2=367.06\ cm^3[/tex]
Explanation:
Charles law states that volume of the gas is directly proportional to the temperature i.e.
[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]
We ave,
V₁ = 300 cm³
T₁ = 40°C = 40 + 273.15 = 313.15 K
T₂ = 110°C = 110 + 273.15 = 383.15 K
Let V₂ be the new volume.
[tex]V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{300\times 383.15 }{313.15}\\\\V_2=367.06\ cm^3[/tex]
So, the new volume of the balloon is [tex]367.06\ cm^3[/tex].