Question

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

on the balloon is decreased to 0.50 atm, what will be the gas's volume?

Answer 1

5 L

Step-by-step 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 * V_1 = P_2 * V_2\\V_2 = (P_1 * V_1)/(P_2) = (1atm * 2.5L)/(0.50atm)= 5 L`