Calculating Final Volume of a Balloon

29 Sep 2023

Given the initial volume and temperature of a balloon, how can we determine its volume at a higher temperature?

Initial volume: 3.5 L

Initial temperature: 296 K

Final temperature: 376 K

Final volume: ?

The final volume of the balloon at 376 K is 4.4 L.

From the provided data:

Initial volume (V₁) = 3.5 L

Initial temperature (T₁) = 296 K

Final temperature (T₂) = 376 K

Final volume (V₂) = ?

To calculate the final volume using Charles's Law, the formula is:

V₁ / T₁ = V₂ / T₂

Substitute the values into the equation:

3.5 / 296 = V₂ / 376

Cross multiply to solve for V₂:

296 × V₂ = 3.5 × 376

296 × V₂ = 1316

V₂ = 1316 / 296

V₂ = 4.4 L

Therefore, the final volume of the balloon when heated to 376 K is 4.4 L.