a balloon filled with one litre of air is tied to a brick and dropped from height of 4600 m above the sea level.if the atmosphere 4600 m above the sea level has a pressure of 70kPa,what will be the volume of the balloon when it reaches sea level? show calculations.
Assuming the temperature remains constant, the pressure and the volume of the balloon filled with air will vary according to the Boyle's law i.e
`rArr` Pressure at altitude * Volume at altitude= Pressure at sea level*Volume at sea level
Here, `P_1=70` kPa, `V_1=1` L
We know atmospheric pressure at sea level, `P_2 = 101.3` kPa
Hence, `V_2=(70 * 1) /101.3 =0.69 L`
Therefore, the volume of the balloon when it reaches sea level is 0.69 L.