Answer:
2,282 cm³
Explanation:
If all other variables are being held constant, you can find the new volume of the balloon using the Charles' Law equation. The equation looks like this:
V₁ / T₁ = V₂ / T₂
In this equation, "V₁" and "T₁" represent the initial volume and temperature. "V₂" and "T₂" represent the final volume and temperature. Before you can solve for the new volume, you need to convert Celsius to Kelvin (negative values do not work in this equation). This can be done by adding 273.15 to each temperature.
V₁ = 2600 cm³ V₂ = ? cm³
T₁ = 21 °C + 273.15 = 294.15 K T₂ = -15 °C + 273.15 = 258.15 K
V₁ / T₁ = V₂ / T₂ <----- Charles' Law
(2600 cm³) / (294.15 K) = V₂ / (258.15 K) <----- Insert values
8.839 = V₂ / (258.15 K) <----- Simplify left side
2282 = V₂ <----- Multiply both sides by 258.15
