LA CEIBA BILINGUAL SCHOOL PHYSICAL SCIENCE STUDY GUIDE GAS LAW PROBLEMS #1 Name: Cesar Vivas Grade 10th _____#List: ______ Date: _____ GAS LAW PROBLEMS 1 atm = 101.3 kPa = 760 mm Hg; K = 273 + oC; 1 L = 1,000 mL; R = 0.0821 (atm.L)/(mol.R); 8.31 (Kpa.L)/(mol.R) Boyle’s Law Problems: P1VI=P2V2 1.If 22.5 L of nitrogen at 748 mm Hg are compressed to 725 mm Hg at constant temperature. What is the new volume? P1V1=P2V2 V2=P1V1P2 V2=748⋅22/5725 V2=23.2L 2.A gas with a volume of 4.0L at a pressure of 205kPa is allowed to expand to a volume of 12.0L. What is the pressure in the container if the temperature remains constant? P2=P1V1V2 P2=205kPa×4.012.0 P2=68 kPa 3.What pressure is required to compress 196.0 liters of air at 1.00 atmosphere into a cylinder whose volume is 26.0 liters? P2=P1xV1/V2 P2 = 196 atm / 26 P2=7.53 atm 4.A 40.0 L tank of ammonia has a pressure of 12.7 kPa. Calculate the volume of the ammonia if its pressure is changed to 8.4 kPa while its temperature remains constant. V2 = P1V1 / P2 V2 = 12.7 kPa x 40.0 L / 8.4 kPa V2= 60.5 L LA CEIBA BILINGUAL SCHOOL PHYSICAL SCIENCE STUDY GUIDE GAS LAW PROBLEMS #1 Name: Cesar Vivas Grade 10th _____#List: ______ Date: _____ Charles’ Law Problems: V1T2=V2T1 1.Calculate the decrease in temperature when 6.00 L at 20.0 °C is compressed to 4.00 L. 6.00 X 293 = 4.00 X T2 1758 = 4.00xT2 1758/4.00 =T2 439.5 = T2 2.A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure (as required by Charles' Law)? T=T1xV2/V1 2000 / 5.00=T2 T=400K 3.A gas occupies 900.0 mL at a temperature of 27.0 °C. What is the volume at 132.0 °C? V2=V1T1×T2 V2=900.0mL/300K×392K V2=1176 K 4.If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperature be to maintain constant pressure? 15.0 L / 298.0 K = 45.0 L / T2 298 x 45 / 15 = T2 T2=894 K