The volume of the balloon when the temperature is increased to 100 °C is 11.5 L
From the question given above, the following data were obtained:
Initial volume (V₁) = 9 L
Initial temperature (T₁) = 20 °C = 20 + 273 = 293 K
Final temperature (T₂) = 100 °C = 100 + 273 = 373 K
Pressure = constant
Final volume (V₂) =?
The final volume of the balloon can be obtained by using the Charles' law equation as illustrated below:
V₁ / T₁ = V₂ / T₂
9 / 293 = V₂ / 373
Cross multiply
293 × V₂ = 9 × 373
293 × V₂ = 3357
Divide both side by 293
V₂ = 3357 / 293
V₂ = 11.5 L
Thus, the final volume of the balloon is 11.5 L
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