MHT CET Medical202625 April 2026Evening ShiftChemistryStates of MatterActual
A bubble of air is underwater at temperature 15 ^ C and the pressure 1.5 bar . If the bubble rises to the surface where the temperature is 25 ^ C and the pressure is 1.0 bar , what will happen to the volume of the bubble?
Options
- AVolume will become greater by a factor of 1.6 .
- BVolume will become greater by a factor of 1.1
- CVolume will become smaller by a factor of 0.70
- DVolume will become greater by a factor of 2.5
Correct answer
A. Volume will become greater by a factor of 1.6 .
Step-by-step solution
Let the initial volume of the bubble be V₁ . Initial conditions (underwater): P₁ = 1.5 bar T₁ = 15 ^ C = 15 + 273 = 288 K Final conditions (at the surface): P₂ = 1.0 bar T₂ = 25 ^ C = 25 + 273 = 298 K Using the combined gas law equation: P₁ V₁ T₁ = P₂ V₂ T₂ Substituting the given values: 1.5 V₁ 288 = 1.0 V₂ 298 V₂ = 1.5 298 288 V₁ V₂ = 1.5 1.0347 V₁ V₂ 1.552 V₁ 1.6 V₁ The volume will become greater by a factor of 1.6 . Answer: Volume will become greater by a factor of 1.6 .