An air bubble with a radius of 2.5 cm at the bottom of a lake where the temperature is 5.4 0c and the pressure is 3.2atm rises to the surface, where the temperature is 25.0 0c and the pressure is 1.0 atm. calculate the radius of the bubble when it reaches the surface. assume ideal gas behavior.

3.8 cm

Explanation:

Given data

Volume of a sphere: V = 4/3 × π × r³ = 4/3 × π × (2.5 cm)³ = 65 cm³

We can find the final volume using the combined gas law.

The final radius of the bubble is:

V = 4/3 × π × r³

223 cm³ = 4/3 × π × r³

r = 3.8 cm

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