Chemistry-_Unit_13_Gas_Laws.pdf

Chemistry-_Unit_13_Gas_Laws.pdf - .9“ u mi 5 6.3 m 3.2 80...

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Unformatted text preview: .9“. u mi. 5 6.3: m. 3.2 80 UmcEEoo mr: .mBEEQEQ 9.0 @829 6.385 509.050 0 m. 99: cmc>> .EUEcoo 859.9 0.: .0 EU 90: o. .SoEBCmtO w_ : $8.9 62.006 c. .53 30 9.23.200 .8555“. 936:0. 0.: mm: m>> .Eotcoo 2 6.38.0. +0.: DEEzmmo 65.99.89 £29. 9: ES, 2596 m®_.0> mom 0 v.0 ®E20> @5109. 8.05.30. .8550 .51. _._m.m...~_<:o_ 658.0. 0;. mm: 0.5 230.0 $00 $55 9: d: $00 moo E .5580 Em: m. 920.850.. 0; 9386 at ES, 2302.. 8:9 80 0 U6 mE:_o> @519: $.05 26. 92.6.. EEESE 31. matron. mi... 2.0 r . .005. 05 SE ., :6 +30 _000_ 00m SE 0065 +0 826 +30 +0=0§0© 060639 _u< u :3. £306 0 u 068:6 3 33806.9 7 < n <o_:30 3:63 3 u 0:309. 0+ 30—0“ 0.. on» d .x ... 000 i... m H 52032 00» 0033.2 W33 x. m. . Pom»: _..0+3\30_ . x U Q 0 E . m ._ q n .623 +03 0636 _ u H . MW.W_U>_.._.Oz.m _.><<m Om . u .. 3;.» ww>n=>r unmmmcnmm W..00_+0:.m r05 85.. +3016 ”:3 01:6 ::Q:<.0:0_ 06mmc6m 0+ 0: +30 @008 30: 306 :0 0 .. 33:6 0 60:9 +0 +36 +0+0_ 063:6 0+ ” P u 0. + 0” + 0hw + :6 003.9 06mmc6 0+ 6003 00“ a 700:9 +0 +6 .306 +6020: 0+ 6003 00m x +0+0_ 063:6. 30.3 08.. 0.. +06. 30.0w $2.536 SE 01 $5.02 @0303.“ SE «.90 30+ 0 0032.: 94:6 0+ 0 66 30+ 0 3630? 08002030: +0 +6 5:06 .62 0+ 2.» 30_60:_00+ 30mm. 2.2.. 966300 303039.003” BOYLE’S LAW _ Nome _-_.______\- Boyle’s Law sTaTes ThaT The volume of a gas varies inversely wiTh iTs pressure if Temperature . -’- is held consTanT. (If one goes up. The oTher goes down.) We use_The formula: — P xV1=szV2 1 Solve The following problems (assuming consTanT TemperaTure). i. A sample of oxygen gas cocupies a volume of 250. mL aT 740. Torr pressure. WhaT volume will iT occupy aT 800. Torr pressure? 2. A sample of carbon dioxide-occupies a volume of 3.50 liTers aT 125 kPa pressure. WhaT pressure would The gas exerT if The volume was decreased To 2.00 lirers? 3. A 2.0 liTer con’rainer of anrogen had a pressure of 3.2 aTm. WhaT volume would be necessary To decrease The pressure To 1.0 aTm? 4. Ammonia gas occupies a volume of 450. mL aT a pressure of 720. mm Hg. WhaT volume will iT occupy aT sTandard pressure? 5. A 175 mL sample of neon had iTs pressure changed from 75 kPa To 150 kPa. WhaT is iTs new volume? 6. A sample of hydrogen GT 1.5 aTm had iTs pressure decreased To 0.50 aTm producing _ a new volume of 750 mL. WhaT was iTs original volume? ‘ 7. Chlorine gas occupies a volume of 1.2 liTers aT 720 Torr pressure. WhaT volume will 1T occupy 0T 1 aTm pressure? 8. Fluorine gas exerTs a pressure of 900. Torr. When The pressure is changed To 1.50 aTm. iTs volume is 250. mL. WhaT was The original volume? ___'__-______.____..,..___——-——-———-———-——— ChemisTry lFB766 20 ©lnsTrucTional Fair. Inc CHARLES’ LAW . . ._ . .Name ‘ Charles‘ Law sTaTes Thai The volume of a gas varies direcily wiTh The Kelvin Temperfli‘Ufe assuming Thai presSure is consTanT. We use The following formulas: Solve The following problems assuming a consTanT pressure. 1. -———......——‘. A sample of niTrogen occupies a volume of 250 ml. aT 25° C. What volume will iT occupy 0T 95" C? - - Oxygen gas is aT a Tempera’rure of 40° C when iT occupies a volume of 2. 3 liters. To whaT TemperaTure should iT be raised To occupy a volume of 6. 5 liters? '1 Hydrogen gas Was cooled from 150° C To 50° C. lis new volume' :5 75 mL WhaT was iTs original volume? - Chlorine gas occupies a volume of 25 mL GT 300 K. WhaT volume will iT occupy 01' 600 K? _ - A sample of neon gas aT 50° C and a volume of 2.5 liters is cooled To 25" C. WhaT is The new volume? Fluorine gas at 306 K occupies a volume of 500 mL To wha'i Temperaiure should ll be lowered To bring The volume To 300 mL'? Helium occupies a volume of 3.8 liters of ~45" C. WhaT volume will lT occupy of 45° C? A sample of argon gas is cooled and its volume wenT from 380 ml. To 250 mL. if iis final Temperaiure was -55° C, WhaT was iTs original lemperai'ure? Chemzsiry $8755 2] ' ansmcfionai Fair, inc. / 1. 10. 11. 12. 13. 14. 15. 16. The Gas Laws Combined NM It you wish to triple the volume of a gas, try what factor must you decrease the pressure? A 444 ml sample 0f ONCE?! gas exists at age ressure of 152 Torr. What gramme will this gas occupy at standard presSUfeq Determine the final volume of hydrogen gas if 176 liters is cooled from 273 C to 0 C with no change in pressure. A 400 ml sample of Cl is collected at at srnperature of 273 C and 380 Torr. Calculate the volume of this gas at standard temperature and pressure. A 4-8 ml sample of N2 at 650 Torr and -173 C is heated to. 727 C. The volume remains unchanged. Calculate the pressure at the new temperature A sample of ammonia gas occupies a volume of 155 ml at 25 C and a pressure of 760 Torr. If the temperature remains the same but the pressure is increased to 1520 Torr what will be the new volume occupied by the gas? A sample of oxygen has a volume of 155 ml at 30 C and 760 Torr. in order for the gas to have a volume of 200 ml, to what must the pressure be changed? At 20 C and 1 atm. a sample of helium has a volume of t .00 liter. If the temperature is increased to 40 C what volume will the gas occup'f? 7A sample of methane gas has a volume of 515 ml at 20 C and 1 atm. If the temperature is changed to 0 C and the pressure to 660 Torr what will the new volume of the gas be? 4. 00 liters of krypton at a pressure of 750 Torr and a temperature of 293 K are changed by increasing pressure and temperature to 3 atm and 439 K. What Is the new volume? A gas occupies a volume of 200 ml at 0 C and 760 Torr. What volume will it occupy at 100 C and 760 Ton”? At what temperature will 150 liters of hydrogen at 12 C and 750 Torr occupy a volume of 200 liters at a pressure of 730 Torr? The volume of a gas is 400 ml at 12 C and 750 Torr. What will it occupy at 40 C and 720 Torr? 6.“ . if you had 18.3 Liters of oxygen at STP WM of oxygen would you have? If you have 2.71 moles of oxygen gas at STP, what volume of oxygen would you have? I At 20 C a sample of neon gas has a volume of 400 liters. If the volume' is decreased by half and the pressure stays the same, what will the new temperature be? . If the temperature of a sample of ammonia gas is 0 C, and the temperature is changed so that the gas volume doubles, what is the new temperature of the gas? Gas Laws N. am. 1. 100 ml of gas are enclosed in a cylinder under a pressure of 780 torr. What would the volume of the same gas be at a pressure of 1520 torr? 7 2. 20 liters of a gas at 3 atm. what pressure is needed tocompress the gas to 5 liters? 3. A mass of gas is under pressure of 780 mm Hg and occupies a volume of 525 mi. It the pressure were 300 mm Hg, what volume would the gas now occupy? Assume the temperature is constant. I 4. A gaseous sample of neon, maintained at constant. temperature, occupies 500- ml at 2.00 atm. Calculate the volume when the pressure is changed to each of the following: A. 4.00 atm. B. 760 torr _ C. 1.8 x 103 torr .5. A sample of gaseous krypton, maintained at constant pressure'is found to have a volume of 10.51 liters at 25 C. if the system is heated to 250 C, what is the resulting volume? -. 6 A certain gas occupies a volume of 100 ml. at a temperature of 20 C. What wilt its volume be at 10 C if the pressure remains constant? :77 Assume that one cubic foot of air near a thermonuclear explosion is heated from 0 C to ' W 546, 000 C. To what volume dues the air expand? _ 8. The air in a tank has a pressure of 640 mm oi Hg at 23 C. When placed in sunlight the " temperature rose to 48 C What was the pressure in the tank? 8. A sealed glass bulb contained helium at a pressure of 750 mm Hg and 27 C.. The bulb was 7. packed In dry ice at -73 C. What was the resultant pressure of the Helium? 10. A gas occupied a volume of 1.0 liter at a temperature of 27 C and 500 torr pressure. Calcul- ate the volume of the gas it the temperature is changed to 80 C. and the pressure to 700 torr. 11. Calculate the pressure required to compress 2 liters of a gas at 700 mm of Hg pressure and 20 G. into a container of 0.1 liter capacity at a temperature of -150 C. \ 12. 750 ml of gas at 300 torr pressure and 50 C is heated until the volume of gas is 2000 ml at a pressure of 700 torr. What is the final temperature of the gas? .13 500 liters of gas at 27 C and 700 torr would occupy what volume at STP? {9' A chemist has a certain amount of gas under pressure of 33. 3 atm. It occupies 30 liters at " 273 C. For his research however the gas must be at standard conditions. Under standard conditions, what will the voiume of the gas be? Name, The Molar Volume of Gases One mole of any gas occupies a volume of 22. 4 liters at standard temperature and pressure. (05’ c and 760 Torr) l. u 1?. Calculate the weight in grams of 40 liters of NO gas at STP? imatvolme, in liters. will 100g of N02 gas occupyat STP? How many grams of nitrogen are there in 100 liters of NO measured at STP? The volume of a mass of dry 802 gas is 100 liters at 40 C and 740 torr. Calculate the weight of the $02 gas. What volume will 100g of dry NH3 gas occupy when collected and measured at 730 torr and 27 C? 'No liters of. a dry gas weigh 5.7lg at S'I‘P. Calculate the molecular weight of the gas. Calculate the weight in grams of: a. 100 liters of C02 gas at ST)? b. 150 liters of CH4 gas atSTP c. 299 liters of C02 gas treasured at 20 C and 740 torr. Calculate the volume of : . a. 1130c; of C3I18 (propane) gas at ST? 13. 2009 of 00.2 gas at STP c. 299l-elbersofm2 at 22Cand740 torr. - c’rI-MS . -_ ‘ How many grams of carbon dioxide are there in 140 liters of (:02 gas measured at STP? . How many grams of nitrogen oxide are there in 250 liters of m-n‘easured at 30 C and 700 torr? . A Volume of 120 ml of chlorine (C12) gas is measured at 22 C and 742 torr. Calculate the weight of the gas. Chlorine gas is measured at 27 C, 745 tor: and weighed 90g. Calculate the volume. Name: -___.____________________. WS 7.4 Ideal Gas Law (pg 1) PV=nRT R = 0.0821 :3"; 1. What volume would 3.00 moles of neon gas have at 295 K and 645 mmHg? Ans: 2. What volume would 4.3 moles of hydrogen gas occupy at 45°C and 3.22 atm? Ans: 3. How much pressure would 4.85 moles of He gas exert in a 4.50 L tank at 55"C? Ans: 4. How many moles of 002 could fit in a 475 mL bag at —22°C and 855 mmHg? Ans: 5. How many grams of oxygen gas are there in a 2.3 L tank at 7.5 atm and 24”C? Ans: 6. How many molecules of N2 could fit in a 2.00 L soda bottle at 23”C and 755 mmHg? Ans: 7. What pressure would be needed to fit 35.0 g of N2 gas into a 195 mL flask at 0°C? Ans: 8. Inorder to have 1.00 mole of gas fit in a box that measures 1.30 dm x 2.40 dm x 5.83 dm at 1.00 atm, what must the temperature be (in ”C)? (1 L =1dm3) Ans: 9. A cube—shaped box is to be made that can hold precisely 40.0 grams of He at 1.05 atm and 550. HOW long would the box have to be? (remember it's a cube so take the cube root of the volume) Ans: 10. What volume would be occupied by 16.0 g of CH4 at 0°C and 760 mmHg? (notice it's at STP?) Beck Ans: (continued on we!) «a (WS 7. 4 side 2) 11. a) What Is the mass of 1.00 mole of Ne? b) What would be the volume of 1 0.0 mole of Na at 34° C and 0.862 atm? c) What would be the density of 1.00 mole of Ne at 34° C and 0.862 atm? 12. What is the density of helium at 2.15 atm and -45°C? Ans: 13. Determine the density of fluorine gas at 595 mmHg and 423 K. Ans: 14. What is the density of helium at STP? Ans: 15. 2.58 g of a gas has a volume of 3.97 L at 745 mmHg and 21°C. Determine the molecular weight of the gas. What gas might it be?? (see choices in ans. bank) Ans: 16. 2. 58 g of a different gas has a volume of 31.8 L at 745 mmHg and 21 C. Determine the molecular weight of the gas. What gas might it be?? (see choices In ans. bank) Ans: 17. How many moles of sodium will react with 2.6 L of Clg gas at 1.15 atm and 39°C? H_in_t: use the balanced equation... 2 Na + Cl2 —--> . 2 NaCl . Ans: 18. How many grams of propane (C3H3) will react with 3.29 L of 02 at 1.05 atm and —34°C? 1m: balance&use this equation... mC3H3 + _02 -——> _002 + #HZO Ans: rLaW'of Partial Pressure MW 1, A mixture'of nitrogen gig oxygen gas is Colle.cted by displatenent of water at- 30‘ C and 700 torr Hg pressure. If the partial- pre53ure k2- of nitr0g_en is 550 tm , what is the partial pressure.- of 0x e “I (Vapor Pressure of water at 30' C is 32 torr) - ‘ as ' ? '1 git? A mixture of Helium, Oxygen and water $§h§i has a total pressure' of 600 torr. The pressure of Helium is 80 torr and Water vapor 200 torr. What is the partial pressure of Oxygen? A mixture of four gases has a total pressure of 800 torr. Helium and Nitrogen both have a partial pressur—e of 300 torr and Oxygen a partial pressure‘of 150 torr. .Nhat is the.partial presSure of Neon, the fourth gas? ' \ A mixture of .2 mole of N2 gas and .6 mole of 02 has a total pressure of 760 torr. What is the partial pressure of. N2? 5. A_ mixture of .1 mole of He and .3 mole of Ar and 1.5 mole of 0 has a total pressure of 800 torr. What is the partial pressure of each gas? - A mixture of 3 holes of Methane and 6 moles of Oxygen gas a total {5:} pressure of 700 torr. what .is the partia 1 pressure of. each gas? A cylinder contains 60g He, 563 N2, and 403 Ar, (A. ) How many _ moles of each gas is in the mixture? (3. ) If the total pressure of the mixture is 10 atm, What is the partial pressure of Be? What is the partial pressure of each gas in a mixture which contains 40g HeJ 363 N2 and 163 02 ‘ if the total pressure of the mixture is 5 arm. n ' , ---_~ A mixture of Qxygen and Nitrogen has a total pressure of 700 torr, 'the partial pressure of Nitrgen is 480 torr. What is the partial pressure of Oxygen? _A mixture or 3 moles of He, 1.5 moles of 0 .5 moles of Carbon' dioxide and .2 mole of Chlorine has a totai pressure of £00 torr. What is the partial pressure of Carbon dioxide? [VAM- l GRAHAM’S LAW OF DIFFUSION 1. How do the rates of diffusion for HBI and 802 compare? 2. Place the following gases in order from slowest (1) to fastest (5). A. co2 B. 02 c. (312' D. CH4 E. NH3 3. List the order of diffusion for the following gases from the fastest (1) to the slowest (5) under the same conditions of temperature and pressure. A. 802 B. F2 C. N; D. He E. Ar 4. What is the density of... A. 02 gas B. C12 gas C. N0; gas 5. How do the rates of CH; and HCN gas compare? 6. How do the rates of diffusion of NH3 gas and 12 gas compare? Gas Laws Review 1. Convert 273 C to temperature in Kelvin 2. Convert 300 Torr to pressure in Atmospheres ‘ 3. 2 liters of gas is at 6 atrn. What pressure is needed to compress the gas to .2 liters? 4. A mixture of C02 and 02 has a total pressure of 3 atm. The pressure of the C02 is 780 mm Hg. What is the partial pressure of the 02? 5. A mixture 01".] mole ofHe and .3 mole ofAr and 1.5 moles ofOz has a total pressure of 800 Torr. What is the partial pressure of each gas? 6. 4.00 liters of Krypton at a pressure of 760 Torr and a temperature of 293 K are changed by increasing the pressure and temp to 3 atm and 439 K. What is the new volume? 7. Calculate the pressure required to compress 2 liters of a gas at 700 mm Hg and 20 C into a container of 0.1 liters capacity at a temp of —150 C. 8. A volume of 120 ml of C12 gas is measured at 22 C and 742 Torr. Calculate the weight of the gas. 9. Given 2 moles of a gas placed into a 3000 ml container at a temp of -27 C, calculate the resultant pressure of the gas. 10. Given 2 moles of He, 4 moles of H2 and 6 moles of N2 in a container with a total pressure of 900 Torr, Calculate the individual pressure of each gas. ' ‘1 1. How do the rates of C12 and CH4 compare? 12. How do the rates of NH3 and I; compare? 13. What volume in liters will 100 grams ofNOz gas occupy at STP? 14. If you have 2.71 moles of oxygen gas at STP, What volume would you have? ‘ 15. Calculate the density of 3 moles of CO; at STP. 16. Given 3.2 liters of CH4 a gas at STP, calculate its mass (weight). ).l Nam-es r———~—**—*"’5—‘“"“ 1. A sealed glass bulb contained Helium at a pressure of 560 Torr and 400'0. rThe bulb was packed in dry ice at -73°C. What was the resultant pressure of the Helium? - 2-. AJWhat is the density of am: . BISthas 0103.113 gas? 'BiHow do the rates of difquion of SO3 and HBr gas compare? 3. 10 ml of gas are enclosed in a cylinder under pressure of 60 'Torr. What would the volume of the same gas be at a pressure 'of 950 Torr. 4. A certain gas occupies a volume of 5,000 ml at a temperature of 75°C. What will its volume be at 600°C if the pressure remains constant. ‘ . 5. A mixture of Helium, Oxygen and water vapor has a total pressure of 940 Torr. The pressure of Helium is 180 Terr and water vapor 200 Torr. What is the partial pressure of Oxygen? ‘ - . ” 6. A mixture of 10 moles of methane and 5 moles of Oxygen gas has a total pressure of 900 Torr. What is the partial pressure of Oxygen? . 7. What yolume will 400g of CHE gas occupy when collected and measured at 500 Torr and b0 C. 8. The volume of‘a mass of dry C gas in 50 liters at 25°C and ' 800 Torr. Calculate the weigh of.the Cl1 gas. - oulate the.weight in grams of 90 liters of COL gas at. Bifihat volume in liters will 600g of N0: gas occupy at STP. _10. 350 liters of gas at 600°C and 2 atm would occupy what volume at STP. ...
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