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.
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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.
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