A helium balloon contains 69.5 L of helium at sea level, where the atmosphere pressure is 101.3 kPa. The balloon is released frim a 4500 m mountaintop where the pressure is 61.7 kPa. What is the volume of the balloon when it takes off from the mountaintop

The new volume is 114.1 L

Explanation:

Step 1: Data given

Volume of the helium balloon = 69.5 L

The atmosphere pressure is 101.3 kPa

The pressure decreases to 61.7 kPa

Step 2: Calculate the new volume

P1*V1 = P2*V2

⇒with P1 = the atmosphere pressure is 101.3 kPa

⇒with V1 = the initial volume = of the helium balloon = 69.5 L

⇒with P2 = the decreased pressure = 61.7 kPa

⇒with V2 = the new volume = TO BE DETERMINED

101.3 kPa * 69.5 L = 61.7 kPa *  V2

V2 = (101.3 kPA * 69.5 L ) / 61.7 kPa

V2 = 114.1 L

The new volume is 114.1 L

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