The temperature at the bottom of a 40 m deep lake is 12°C and that at the surface is 35°C.

Question

The temperature at the bottom of a 40 m deap lake is 12°C and that at the surface is 35°C. An air bubble of volume 1.0 cm³ rises from the bottom to the surface. Find its volume, (atmospheric pressure = 10 m of water)

Answer 1

Let P₁,V₁ and T₁ be the pressure, bubble volume and absolute temperature at the bottom of the lake and let P₂ , V₂ and T₂ be the corresponding quantities at the surface. Then