Calculating Final Volume of a Balloon
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: ?
Answer:
The final volume of the balloon at 376 K is 4.4 L.
Explanation:
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.