An air bubble starts rising from the bottom of a lake, its diameter is 3.6 mm at the bottom and 4 mm at the surface. The depth of the lake is 250 cm and temperature at the surface is . What is the temperature (in K) at the bottom of the lake?
273.54
283.17
293.43
333.45
During this process mole is not changing,
we know :
Now find the volumes and pressure,
Volume of the bubble at the bottom
Pressure on the bubble = Atmospheric pressure + pressure due to lake.
Thus,
Again, the volume of the bubble at the surface
And, pressure on the bubble = atmospheric pressure
Thus,
Now, we know:
Thus,