Question

a balloon contains 30.0 L of helium gas at 103 kPA. what is the volume of the helium when the balloon rises to an altitude where the pressure is only 25.0 kPA?

Answer 1

Answer:
V₂ = 123.6 L

Step-by-step explanation:

According to Boyle's law pressure and volume of a gas are inversely related if amount and temperature are kept constant. For the initial and final states the gas law is given as,

P₁ V₁ = P₂ V₂ ----- (1)
Data Given;
P₁ = 103 kPa

V₁ = 30 L

P₂ = 25 kPa

V₂ = ?

Solution:

Solving equation 1 for V₂,

V₂ = P₁ V₁ / P₂

Putting values,
V₂ = (103 kPa × 30 L) ÷ 25 kPa

V₂ = 123.6 L

Result:
As the pressure is decreased from 103 kPa to 25 kPa, therefore, volume has increased from 30 L to 123.6 L.