Question

Explain why a gas bubble released at the bottom of a lake grows in size as it rises to the surface of the lake.

Answer 1

Hint: We can solve this problem by applying the concept of total pressure and how the pressure varies or we can say it depends on the depth. Now applying the concept of Boyle’s law we can find the reason behind why a gas bubble released at the bottom of a lake grows in size as it rises to the surface of the lake.

Complete answer:
As per the problem we need to say the reason behind a gas bubble released at the bottom of a lake grows in size as it rises to the surface of the lake.A gas bubble release at the bottom of a lake grows in size as it rises to the surface of the lake. This is because when the bubble is present at the bottom of the lake and the total pressure exerted on the gas bubble is the sum of pressure due to the water column and the atmospheric pressure.

Now when the gas bubble rises the depth of the lake declines and due to which the pressure of the water also decreases as the pressure and the depth are interrelated and directly optional to each other.Now using the concept of Boyle’s law we can state that PV= Constant hence from this we can say that the bubble grows in size because the pressure decreases.

Note: Remember that according to Boyle’s law the pressure of a given quantity of gas is inversely proportional or inversely related with its volume at constant temperature.The equation can be represented as $P\propto \dfrac{1}{V}$ or $PV = k$.