Answered

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 :

dsdrajlin

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.

[tex]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[/tex]

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