Chemistry: Aballoon is filled with helium at sea level. the volume was measured to be 3.1 liters at a pressure of 0.97 atmosphere. if the balloon is released, it drifts upward. at a height of 4 kilometers, the pressure is measured to be 0.61 atmospheres. what is the volume of the balloon?

Aballoon is filled with helium at sea level. the

babyduckies37

14.03.2022

The volume of the balloon is 4.92 L at the height of 4 km.

Explanation:

Initial Volume of the helium gas V_1= 3.1 L

Initial pressure of the helium gas P_1= 0.97 atm

Final volume of the helium gas = V_2

Final pressure of the helium gas = P_2=0.61 atm

Applying Boyle's law:

P_1V_1=P_2V_2 (At constant temperature)

$V_2=\frac{P_1\times V_1}{P_2}=\frac{0.97 atm\times 3.1 L}{0.61 L}$

V_2=4.92 L

The volume of the balloon is 4.92 L at the height of 4 km.

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