Question

A balloon is filled with 2.5 L of helium at 1 atm of pressure. If the pressure

Answer 1

Answer:

5 L

Explanation:

Given data

• Initial pressure (P₁): 1 atm

• Initial volume (V₁): 2.5 L

• Final pressure (P₂): 0.50 atm

• Final volume (V₂): ?

For a gas, there is an inverse relationship between the pressure and the volume. Mathematically, for an ideal gas that undergoes an isothermic change, this is expressed through Boyle's law.

$P_1 \times V_1 = P_2 \times V_2\\V_2 = \frac{P_1 \times V_1}{P_2} = \frac{1atm \times 2.5L}{0.50atm}= 5 L$