5 E. Gas Law ProblemsA gas occupies 100. mL at kPa. Find its volume at 200. kPa.BOYLE’S LAWGIVEN:V1 = 100. mLP1 = 150. kPaV2 = ?P2 = 200. kPaPVWORK:P1V1 = P2V2(150.kPa)(100.mL)=(200.kPa)V2V2 = 75.0 mL
12 C. Gay-Lussac’s LawThe pressure and absolute temperature (K) of a gas are directly relatedat constant mass & volumePT
13 E. Gas Law ProblemsA gas’ pressure is 765 torr at 23°C. At what temperature will the pressure be 560. torr?GAY-LUSSAC’S LAWGIVEN:P1 = 765 torrT1 = 23°C = 296KP2 = 560. torrT2 = ?PTWORK:P1T2 = P2T1(765 torr)T2 = (560. torr)(296K)T2 = 217 K = -56°C
14 PV T V T P T PV = k P1V1 T1 = P2V2 T2 P1V1T2 = P2V2T1 D. Combined Gas LawPVTVTPTPV= kP1V1T1=P2V2T2P1V1T2 = P2V2T1
15 E. Gas Law Problems COMBINED GAS LAW P T V V1 = 7.84 cm3 A gas occupies 7.84 cm3 at 71.8 kPa & 25°C. Find its volume at STP.COMBINED GAS LAWGIVEN:V1 = 7.84 cm3P1 = 71.8 kPaT1 = 25°C = 298 KV2 = ?P2 = kPaT2 = 273 KP TVWORK:P1V1T2 = P2V2T1(71.8 kPa)(7.84 cm3)(273 K)=( kPa) V2 (298 K)V2 = 5.09 cm3
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