Bennett Mechanical Comprehension Practice Test

To determine the final pressure of the gas when its volume changes, we can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when the temperature remains constant. This can be mathematically expressed as: \[ P_1 \times V_1 = P_2 \times V_2 \] Where: - \( P_1 \) is the initial pressure. - \( V_1 \) is the initial volume. - \( P_2 \) is the final pressure. - \( V_2 \) is the final volume. In this scenario: - The initial volume \( V_1 \) is 10 liters. - The initial pressure \( P_1 \) is 4 atm. - The final volume \( V_2 \) is 20 liters. Using Boyle's Law, we can substitute in the values: \[ 4 \, \text{atm} \times 10 \, \text{lt} = P_2 \times 20 \, \text{lt} \] Next, solve for \( P_2 \): \[ P_2 = \frac{(4 \, \text{atm} \times 10 \