science A gas at 6.0 L volume has a pressure of 0.8 atm.If the volume is decreased to 3.0L,find the new pressure
Answer (1)
solve this using Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the pressure and volume are inversely proportional. The formula is: P₁V₁ = P₂V₂ Where: - P₁ = initial pressure - V₁ = initial volume - P₂ = final pressure - V₂ = final volume Step 1: Identify the knowns We know: - P₁ = 0.8 atm - V₁ = 6.0 L - V₂ = 3.0 L Step 2: Solve for P₂ We need to find P₂, the final pressure. Rearrange Boyle's Law to solve for P₂: P₂ = (P₁V₁) / V₂ Step 3: Substitute and calculate Substitute the known values: P₂ = (0.8 atm * 6.0 L) / 3.0 L P₂ = 1.6 atm Answer The new pressure is 1.6 atm.
