What is the new pressure after squeezing the syringe to 7 mL?
The new pressure after squeezing the syringe to 7 mL can be calculated using Boyle's Law formula, which states P₁V₁ = P₂V₂. Given that the initial pressure (P₁) is 3 atm, the initial volume (V₁) is 15 mL, and the final volume (V₂) is 7 mL, we can substitute these values into the formula.
P₁V₁ = P₂V₂
3 atm * 15 mL = P₂ * 7 mL
45 = 7P₂
P₂ = 45 / 7
P₂ ≈ 6.43 atm
Therefore, the new pressure after squeezing the syringe to 7 mL will be approximately 6.43 atm.
Boyle's Law and Calculation
Boyle's Law states that the pressure of a gas is inversely proportional to its volume at a constant temperature. In other words, if the volume of a gas decreases, the pressure will increase and vice versa, assuming the temperature remains constant.
When applying Boyle's Law to solve the given problem, we use the formula P₁V₁ = P₂V₂, where P₁ is the initial pressure, V₁ is the initial volume, P₂ is the final pressure, and V₂ is the final volume after changes have been made.
By substituting the values of the initial pressure, initial volume, and final volume into the formula, we can solve for the final pressure. In this case, the initial pressure is 3 atm, the initial volume is 15 mL, and the final volume is 7 mL. The calculation shows that the final pressure will be approximately 6.43 atm after squeezing the syringe to 7 mL.
This demonstrates how Boyle's Law can be used to determine the relationship between pressure and volume of a gas when other variables such as temperature remain constant.