A balloon inflated in a room at 27 degrees celsius has a volume of 8.00 L. the balloon is then heated to a temperature of 78 degrees Celsius. What is the new volume if the pressure remains constant?

This problem is being solved using Ideal Gas Equation.

PV = nRT

Data Given:

Initial Temperature = T₁ = 27 °C = 300 K

Initial Pressure = P₁ = constant

Initial Volume = V₁ = 8 L

Final Temperature = T₂ = 78 °C = 351 K

Final Pressure = P₂ = constant

Final Volume = V₂ = ?

As,

Gas constant R and Pressures are constant, so, Ideal gas equation can be written as,

V₁ / T₁ = V₂ / T₂

Solving for V₂,

V₂ = (V₁ * T₂) : T₁

Putting Values,

V₂ = (8 L * 351 K) : 300 K

V₂ = 9.38 L