# 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...

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

`P_1V_1=P_2V_2`

`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.**

**Sources:**