An air bubble of volume 1 cm³ rises from the bottom of a lake 40m deep to the surface at a temperature of 12°C. The atmospheric pressure is 1 ×10⁵ Pa, the density of water is 1000 kg/m³ and g = 10 m s⁻². There is no difference of the temperature of water at the depth of 40 m and on the surface. The volume of air bubble when it reaches the surface will be
Options

Question

An air bubble of volume 1 cm³ rises from the bottom of a lake 40m deep to the surface at a temperature of 12°C. The atmospheric pressure is 1 ×10⁵ Pa, the density of water is 1000 kg/m³ and g = 10 m s⁻². There is no difference of the temperature of water at the depth of 40 m and on the surface. The volume of air bubble when it reaches the surface will be

Options

G1 Physics · Accepted Answer

Apply energy conservation. Sensible heat is Q=mcΔT and phase-change heat is Q=mL. Heat lost by hotter parts equals heat gained by colder parts. Evaluating the given data/statements gives 5 cm³. Therefore the correct answer is A.