At 2.0 atm pressure, the volume of a gas is 4.0 L. If the pressure is reduced to 1.0 atm while keepi

JAMB Chemistry 2023 65 views

At 2.0 atm pressure, the volume of a gas is 4.0 L. If the pressure is reduced to 1.0 atm while keeping the temperature constant, what will be the new volume of the gas?

  1. 2.0 L
  2. 4.0 L
  3. 6.0 L
  4. 8.0 L ✓

Explanation

Boyle’s Law states that when temperature stays constant, pressure and volume have an inverse relationship. When pressure decreases, volume increases by the same ratio.

Using the formula P₁V₁ = P₂V₂, we multiply 2.0 atm by 4.0 L to get 8.0. Then we divide 8.0 by the new pressure of 1.0 atm to find the new volume.

The calculation gives 8.0 L as the new volume. This makes sense because cutting the pressure in half doubles the volume from 4.0 L to 8.0 L.

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