Question

A weather balloon has a volume of 90.0 L when it is released from sea level 101 kPa. What is the atmospheric pressure on the balloon when it has grown to a size of 175.0 L?

Answer 1

Answer:

The final atmospheric pressure is 5.19 · 10⁴ Pa

Step-by-step explanation:

Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,

pV = const.

where p is the gas pressure and V is the volume

The equation can also be rewritten as

p₁ V₁ = p₂ V₂

where in our problem we have:

p₁ = 1.03 · 10₅ Pa is the initial pressure (the atmospheric pressure at sea level)

V₁ = 90.0L is the initial volume

p₂ is the final pressure

V₂ = 175.0L is the final volume

Solving the equation for p2, we find the final pressure:

p₂ = p₁ v₁ divided by V₂ = (1.01 · 10⁵)(90.0) divided by 175.0 = 5.19 · 10⁴ Pa

Answer 2

Answer:

5.19 · 10⁴ Pa

Step-by-step explanation: