Name______________KEY Worksheet: BoyleÕs Law and CharlesÕs Law temperature is held constant, the pressure and volume 1. BoyleÕs Law: When ____________ inverselyproportional. of a gas are ____________ 2. Mathematically, BoyleÕs law is stated PV = ____________k or P1V1 = P2 V 2 ____________. 3. At a pressure of 405 kPa, the volume of a gas is 6.00 cm3. Assuming the temperature remains constant, at what pressure will the new volume be 4.00 cm3? P1 = 405 kPa V1 = 6.00 cm3 P2 = ? V2 = 4.00 cm3 6.00 cm3 = P2  405 kPa  P1V1 = P2V2 4.00 cm3 P2 = 608 kPa 4. A volume of gas at 1.10 atm was measured at 326 cm3. What will be the volume if the pressure is adjusted to 1.90 atm? P1 = 1.10 atm V1 = 326 cm3 P2 = 1.90 atm V2 = ? P1V1 = P2V2 V2  326 cm3 = 1.90 atm  1.10 atm V2 = 189 cm3 5. If 36.5 m3 of a gas are collected at a pressure of 755 mm Hg, what volume will the gas occupy if the pressure is changed to 632 mm Hg? P1 = 755 mm Hg V1 = 36.5 m3 P2 = 632 mm Hg V2 = ? 36.5 m3 = 632mmHg  755 mmHg  P1V1 = P2V2 V2 V2 = 43.6 m3 CHEMISTRY: A Study of Matter pressure is held constant, the volume and 6. CharlesÕs Law: When ____________ directly temperature of a gas are ____________ proportional. 7. Mathematically, CharlesÕs Law is stated: V k or = _____ T V1 V =___ T 2 ___. T1 2 Kelvin temperature scale must be used in all gas law problems. 8. The ____________ 9. At 189 K, a sample of gas has a volume of 32.0 cm3. What volume does the gas occupy at 242 K? V1 = 32.0 cm3 T1 = 189 K V1 T1 = V2 T2 V2 = ? T2 = 242 K V2 32.0 cm3 = 189 K 242 K V2 = 41.0 cm3 10. The gas in a balloon occupies 2.25 L at 298 K. At what temperature will the balloon expand to 3.50 L? V1 = 2.25 L T1 = 298 K V1 T1 = V2 T2 V2 = 3.50 L T2 = ? 2.25 L 3.50 L = 298 K T2 T2 = 464 K 11. A sample of gas has a volume of 852 mL at 25¡C. What Celsius temperature is necessary for the gas to have a volume of 945 mL? V1 T1 = V2 T2 852 mL 945 mL = 298 K T2 V2 = 945 mL T2 = ? T2 = 331 K CHEMISTRY: A Study of Matter  V1 = 852 mL T1 = 25 ¡ C + 273 = 298 K 273 K = 58 C