Respuesta :
The new volume of the balloon which was initially 3 L is 1.86 L
Data obtained from the question
- Initial temperature (T₁) = 20 °C = 20 + 273 = 293 K
- Initial volume (V₁) = 3 L
- Initial pressure (P₁) = 1.5 atm
- New temperature (T₂) = 30 °C = 30 + 273 = 303 K
- New pressure (P₂) = 2.5 atm
- New volume (V₂) =?
How to determine the new volume
The new volume of the balloon can be obtained by using the combined gas equation as illustrated below:
P₁V₁ / T₁ = P₂V₂ / T₂
(1.5 × 3) / 293 = (2.5 × V₂) / 303
Cross multiply
293 × 2.5 × V₂ = 1.5 × 3 × 303
732.5 × V₂ = 1363.5
Divide both side by 732.5
V₂ = 1363.5 / 732.5
V₂ = 1.86 L
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