lem: If 7.0 L of gas is at 3.0 atm, what would the pressure be if the volume expands to 14.0 L?
Answer (1)
solve this problem using Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. The formula is: P₁V₁ = P₂V₂ Where: - P₁ is the initial pressure - V₁ is the initial volume - P₂ is the final pressure - V₂ is the final volume Step 1: Identify the knowns We know: - P₁ = 3.0 atm - V₁ = 7.0 L - V₂ = 14.0 L Step 2: Solve for P₂ We need to solve for P₂, the final pressure. Rearrange Boyle's Law to isolate P₂: P₂ = (P₁V₁) / V₂ Step 3: Substitute and calculate Substitute the known values into the equation: P₂ = (3.0 atm * 7.0 L) / 14.0 L P₂ = 1.5 atm Answer The pressure would be 1.5 atm if the volume expands to 14.0 L.
