Boyle's law gives the relationship between pressure and volume of gas. It states that for a fixed amount of gas at constant temperature, pressure is inversely proportional to volume of gas. PV = k where P - pressure, V - volume and k - constant P1V1 = P2V2 where parameters for the first instance are on the left side and parameters for the second instance are on the right side of the equation. substituting the values in the equation 0.947 atm x 150.0 mL = 0.987 atm x V V = 144 mL therefore new volume is 144 mL