Question

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?

Answer 1

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