logging in or signing up The Gas Laws wsautter Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 31 Category: Science & Tech.. License: All Rights Reserved Like it (0) Dislike it (0) Added: February 02, 2012 This Presentation is Public Favorites: 0 Presentation Description The fundamentals of gas behavior including Charles Law, Boyles Law, Gay-Lussacs Law and the Universal Gas Law. **More good stuff available at: www.wsautter.com and http://www.youtube.com/results?search_query=wnsautter &aq=f Comments Posting comment... Premium member Presentation Transcript PowerPoint Presentation: Gases & The Gas Laws Copyright Sautter 2003PowerPoint Presentation: The next slide is a quick promo for my books after which the presentation will begin Thanks for your patience! Walt S. Wsautter@optonline.net More stuff at: www.wsautter.comPowerPoint Presentation: Books available at: www.wsautter.com www.smashwords.com www.amazon.com www.bibliotastic.com www.goodreads.com Walt’s Books for Free!GASES & THEIR PROPERTIES: GASES & THEIR PROPERTIES THE GAS LAWSWHAT MAKES A GAS DIFFERENT FROM SOLIDS AND LIQUIDS ?: WHAT MAKES A GAS DIFFERENT FROM SOLIDS AND LIQUIDS ? (1) ENERGY STATE - GASES HAVE A HIGHER ENERGY CONTENT (2) DENSITY - GASES HAVE LOW DENSITY (3) GASES ARE FLUIDS - THEY FLOW AND TAKE THE SHAPE OF THEIR CONTAINER (SO DO LIQUIDS) (4) THEY RESPOND NOTABLY TO CHANGES IN TEMPERATURE AND PRESSUREHOW ARE TEMPERATURE AND PRESSURE MEASURED ?: HOW ARE TEMPERATURE AND PRESSURE MEASURED ? TEMPERATURE IS MEASURED WITH A THERMOMETER (OF COURSE !) PRESSURE IS MEASURED WITH A BAROMETER. IT ALLOWS MERCURY TO BE PUSHED UP A VERTICAL GLASS TUBE BY GAS PRESSURE AND THEN THE HEIGHT OF THE MERCURY IN THE TUBE IS READ. PRESSURE IS THEREFORE OFTEN MEASURED IN LENGTH UNITS SUCH AS MILLIMETERS, CENTIMETERS OR INCHES. YOU HAVE CERTAINLY HEARD TEMPERATURE AND BAROMETER READING DURING WEATHER REPORTS !TORRICELLI’S BAROMETER: TORRICELLI’S BAROMETER Hg LEVEL NORMAL AIR PRESSURE: 1 ATM 760 MM OF Hg 29.92 INCHES 14.7 PSI 101.3 KPaHOW DO GASES RESPOND TO TEMPERATURE & PRESSURE ?: HOW DO GASES RESPOND TO TEMPERATURE & PRESSURE ? AS THE TEMPERATURE OF A GAS INCREASES, ITS VOLUME INCREASES (DIRECT) AS THE PRESSURE ON A GAS INCREASES, ITS VOLUME DECREASES (INVERSE)VARIABLES WHICH EFFECT GAS BEHAVIOR: VARIABLES WHICH EFFECT GAS BEHAVIOR (1) VOLUME (LITERS) (2) PRESSURE (ATM OR MM OF Hg) (3) TEMPERATURE (DEGREES KELVIN) (4) QUANTITY OF GAS (MOLES)HOW DO CONFINED GASES AT A CONSTANT TEMPERATURE RESPOND TO PRESSURE CHANGES ?: HOW DO CONFINED GASES AT A CONSTANT TEMPERATURE RESPOND TO PRESSURE CHANGES ? AS PRESSURE GOES UP, VOLUME GOES DOWN (INVERSE) BOYLE’S LAW SAYS: P 1 x V 1 = P 2 x V 2 PRESSURE 1 AND 2 MUST BE IN THE SAME UNITS VOLUME 1 AND 2 MUST BE IN THE SAME UNITS INVERSE!!PowerPoint Presentation: HOW DO CONFINED GASES AT A CONSTANT TEMPERATURE RESPOND TO PRESSURE CHANGES ? (CONT’D) AN INVERSE RELATIONSHIPHOW DOES TEMPERATURE EFFECT THE VOLUME OF A FIXED QUANTITY OF GAS AT A CONSTANT PRESSURE ?: HOW DOES TEMPERATURE EFFECT THE VOLUME OF A FIXED QUANTITY OF GAS AT A CONSTANT PRESSURE ? AS TEMPERATURE GOES UP, VOLUME GOES UP (DIRECT) CHARLES LAW SAYS: V 1 / T 1 = V 2 / T 2 VOLUMES 1 AND 2 MUST BE THE SAME UNITS TEMPERATURES 1 AND 2 MUST BE IN KELVIN KELVIN RULES CHARLESPowerPoint Presentation: Volume T E M P E R A T U R E - 273 0 C Absolute Zero Temperature vs Volume for an Ideal Gas No Gas is Ideal real gases liquefy before absolute zero An ideal gas would shrink to zero volume at absolute zeroWHAT IS KELVIN TEMPERATURE ? : WHAT IS KELVIN TEMPERATURE ? KELVIN TEMPERATURE STARTS AT ABSOLUTE ZERO (- 273 DEGREES CELSIUS) AT ABSOLUTE ZERO, NO HEAT IS PRESENT IN THE SYSTEM (A CONDITION WHICH CAN NEVER BE ACHIEVIED!) ALMOST ALL SCIENTIFIC CALCULATIONS INVOLVING TEMPERATURE USE THE KELVIN SCALE WHICH IS SOMETIMES CALLED THE ABSOLUTE TEMPERATURE SCALE. KELVIN = 273 + DEGREES CELSIUSHOW DO PRESSURE CHANGES EFFECT A CONFINED GAS ? : HOW DO PRESSURE CHANGES EFFECT A CONFINED GAS ? AS THE TEMPERATURE ON A CONFINED GAS GOES UP, ITS PRESSURE INCREASES (DIRECT) GAY-LUSSAC’S LAW SAYS: P 1 / T 1 = P 2 / T 2 PRESSURES 1 AND 2 MUST BE THE SAME UNITS VOLUMES 1 AND 2 MUST BE THE SAME UNITS TEMPERATURES 1 AND 2 MUST BE IN KELVINWHAT IS THE COMBINED GAS LAW ?: WHAT IS THE COMBINED GAS LAW ? THE COMBINED LAW IS BOYLE’S LAW, CHARLES LAW AND GAY-LUSSAC’S LAW TOGETHER. IT ALLOWS US TO CALCULATE THE EFFECTS OF TEMPERATURE, PRESSURE AND VOLUME ON A GAS AT THE SAME TIME. (P 1 x V 1 ) / T 1 = (P 2 x V 2 ) / T 2 PRESSURES 1 AND 2 MUST BE THE SAME UNITS TEMPERATURES 1 AND 2 MUST BE IN KELVINWHY ARE BOYLE’S, CHARLES AND GAY-LUSSAC’S LAWS CALLED “THE GAS LAWS” ?: WHY ARE BOYLE’S, CHARLES AND GAY-LUSSAC’S LAWS CALLED “THE GAS LAWS” ? BECAUSE THEY APPLY TO ALL GAS PROPERTIES THAT APPLY TO AN ENTIRE CLASS OF SUBSTANCES AS A COLLECTION OF PARTICLES RATHER THAN INDIVIDUAL MATERIALS ARE CALLED “COLLIGATIVE PROPERTIES”. COLLIGATIVE MEANS “COLLECTIVE” PRESSURE, VOLUME, TEMPERATURE AND NUMBER OF MOLES ARE CALLED COLLIGATIVE PROPERTIES OF GASES !AVOGADRO’S HYPOTHESIS : AVOGADRO’S HYPOTHESIS THE UNDER LYING THEORY THAT ALLOWS THE GAS LAWS TO BE APPLIED EQUALLY WELL TO ALL GASES IS: “EQUAL VOLUMES OF DIFFERENT GASES, AT THE SAME TEMPERATURE AND PRESSURE, CONTAIN EQUAL MOLES” ANY GAS - ONE MOLE 22.4 LITERS AT STP AVOGADROCOMMONLY USED CONDITIONS OF TEMPERATURE AND PRESSURE ARE ZERO DEGREES CELSIUS AND ONE ATOMSPHERE PRESSURE: COMMONLY USED CONDITIONS OF TEMPERATURE AND PRESSURE ARE ZERO DEGREES CELSIUS AND ONE ATOMSPHERE PRESSURE THESE CONDITIONS ARE CALLED STANDARD TEMPERATURE AND STANDARD PRESSURE (STP) ONE MOLE OF ANY GAS OCCUPIES 22.4 LITERS AT STP CONDITIONS . TO OBTAIN MOLES OF GAS PRESENT AT STP FROM THE NUMBER OF LITERS, DIVIDE LITERS BY 22.4 TO OBTAIN LITERS OF GAS PRESENT AT STP FROM THE NUMBER OF MOLES, MULTIPLY BY 22.4STP VOLUMES OF DIFFERENT GASSES: STP VOLUMES OF DIFFERENT GASSES: DALTON’S LAW DEALS WITH THE PARTIAL PRESSURE OF GASES. PARTIAL PRESSURE REFERS TO THE FACT THAT EACH GAS IN A MIXTURE OF GASES CAUSES ITS OWN INDIVIDUAL PRESSURE AS IF IT WERE ALONE IN THE CONTAINER. IF ALL THE PRESSURES OF EACH OF THE GASES IN A MIXTURE ARE ADDED TOGETHER, WE GET THE TOTAL PRESSURE OF THE GASES IN THE CONTAINER. DALTON’ LAWS OF PARTIAL PRESSURESDALTON’S LAWS (CONT’D): DALTON’S LAWS (CONT’D) TOTAL PRESSURE = PRESSURE OF GAS A + PRESSURE OF GAS B + PRESSURE OF GAS C + ETC. OR P TOTAL = P GAS A + P GAS B + P GAS C + P …….DALTON’S LAWS (CONT’D): DALTON’S LAWS (CONT’D) DALTON’S LAW ALSO TELLS US THAT THE PARTIAL PRESSURE OF EACH GAS IS RELATED TO THE NUMBER OF MOLES OF THAT GAS PRESENT OUT OF THE TOTAL MOLES PRESENT PRESSURE OF GAS A = (MOLES OF GAS A / TOTAL MOLES OF GAS) x TOTAL PRESSURE P GAS A = (N GAS A / N TOTAL ) x P TOTALTHE “KING” OF THE GAS LAWS – THE UNIVERSAL GAS LAW OFTEN CALLED THE IDEAL GAS LAW: THE “KING” OF THE GAS LAWS – THE UNIVERSAL GAS LAW OFTEN CALLED THE IDEAL GAS LAW PRESSURE x VOLUME = MOLES x A CONSTANT x TEMPERATURE OR P x V = N x R x T P = PRESSURE (ATM) V = VOLUME (LITERS) N = MOLES T = TEMPERATURE (K) R = .0821 ATM x L/ MOLES x KELVIN (A CONSTANT) R IS CALLED “THE GAS CONSTANT”SUMMARY OF EQUATIONS: SUMMARY OF EQUATIONS BOYLE’S LAW: P 1 x V 1 = P 2 x V 2 CHARLES LAW: V 1 / T 1 = V 2 / T 2 GAY-LUSSAC’S LAW: P 1 / T 1 = P 2 / T 2 KELVIN = 273 + DEGREES CELSIUS COMBINED GAS LAW (P 1 x V 1 ) / T 1 = (P 2 x V 2 ) / T 2 DALTON’S LAW P TOTAL = P GAS A + P GAS B + P GAS C + P …….SUMMARY OF EQUATIONS (CONT’D): SUMMARY OF EQUATIONS (CONT’D) DALTON’S LAW (CONT’D) P GAS A = (N GAS A / N TOTAL ) x P TOTAL AVOGADRO’S HYPOTHESIS “EQUAL VOLUMES OF DIFFERENT GASES, AT THE SAME TEMPERATURE AND PRESSURE, CONTAIN EQUAL MOLES” UNIVERSAL GAS LAW P x V = N x R x TTHINGS YET TO COME !! : THINGS YET TO COME !! OUR NEXT PROGRAM WILL DEAL WILL SOLVING GAS LAW PROBLEMS. BRING YOUR CALCULATOR !!PowerPoint Presentation: THE END You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
The Gas Laws wsautter Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 31 Category: Science & Tech.. License: All Rights Reserved Like it (0) Dislike it (0) Added: February 02, 2012 This Presentation is Public Favorites: 0 Presentation Description The fundamentals of gas behavior including Charles Law, Boyles Law, Gay-Lussacs Law and the Universal Gas Law. **More good stuff available at: www.wsautter.com and http://www.youtube.com/results?search_query=wnsautter &aq=f Comments Posting comment... Premium member Presentation Transcript PowerPoint Presentation: Gases & The Gas Laws Copyright Sautter 2003PowerPoint Presentation: The next slide is a quick promo for my books after which the presentation will begin Thanks for your patience! Walt S. Wsautter@optonline.net More stuff at: www.wsautter.comPowerPoint Presentation: Books available at: www.wsautter.com www.smashwords.com www.amazon.com www.bibliotastic.com www.goodreads.com Walt’s Books for Free!GASES & THEIR PROPERTIES: GASES & THEIR PROPERTIES THE GAS LAWSWHAT MAKES A GAS DIFFERENT FROM SOLIDS AND LIQUIDS ?: WHAT MAKES A GAS DIFFERENT FROM SOLIDS AND LIQUIDS ? (1) ENERGY STATE - GASES HAVE A HIGHER ENERGY CONTENT (2) DENSITY - GASES HAVE LOW DENSITY (3) GASES ARE FLUIDS - THEY FLOW AND TAKE THE SHAPE OF THEIR CONTAINER (SO DO LIQUIDS) (4) THEY RESPOND NOTABLY TO CHANGES IN TEMPERATURE AND PRESSUREHOW ARE TEMPERATURE AND PRESSURE MEASURED ?: HOW ARE TEMPERATURE AND PRESSURE MEASURED ? TEMPERATURE IS MEASURED WITH A THERMOMETER (OF COURSE !) PRESSURE IS MEASURED WITH A BAROMETER. IT ALLOWS MERCURY TO BE PUSHED UP A VERTICAL GLASS TUBE BY GAS PRESSURE AND THEN THE HEIGHT OF THE MERCURY IN THE TUBE IS READ. PRESSURE IS THEREFORE OFTEN MEASURED IN LENGTH UNITS SUCH AS MILLIMETERS, CENTIMETERS OR INCHES. YOU HAVE CERTAINLY HEARD TEMPERATURE AND BAROMETER READING DURING WEATHER REPORTS !TORRICELLI’S BAROMETER: TORRICELLI’S BAROMETER Hg LEVEL NORMAL AIR PRESSURE: 1 ATM 760 MM OF Hg 29.92 INCHES 14.7 PSI 101.3 KPaHOW DO GASES RESPOND TO TEMPERATURE & PRESSURE ?: HOW DO GASES RESPOND TO TEMPERATURE & PRESSURE ? AS THE TEMPERATURE OF A GAS INCREASES, ITS VOLUME INCREASES (DIRECT) AS THE PRESSURE ON A GAS INCREASES, ITS VOLUME DECREASES (INVERSE)VARIABLES WHICH EFFECT GAS BEHAVIOR: VARIABLES WHICH EFFECT GAS BEHAVIOR (1) VOLUME (LITERS) (2) PRESSURE (ATM OR MM OF Hg) (3) TEMPERATURE (DEGREES KELVIN) (4) QUANTITY OF GAS (MOLES)HOW DO CONFINED GASES AT A CONSTANT TEMPERATURE RESPOND TO PRESSURE CHANGES ?: HOW DO CONFINED GASES AT A CONSTANT TEMPERATURE RESPOND TO PRESSURE CHANGES ? AS PRESSURE GOES UP, VOLUME GOES DOWN (INVERSE) BOYLE’S LAW SAYS: P 1 x V 1 = P 2 x V 2 PRESSURE 1 AND 2 MUST BE IN THE SAME UNITS VOLUME 1 AND 2 MUST BE IN THE SAME UNITS INVERSE!!PowerPoint Presentation: HOW DO CONFINED GASES AT A CONSTANT TEMPERATURE RESPOND TO PRESSURE CHANGES ? (CONT’D) AN INVERSE RELATIONSHIPHOW DOES TEMPERATURE EFFECT THE VOLUME OF A FIXED QUANTITY OF GAS AT A CONSTANT PRESSURE ?: HOW DOES TEMPERATURE EFFECT THE VOLUME OF A FIXED QUANTITY OF GAS AT A CONSTANT PRESSURE ? AS TEMPERATURE GOES UP, VOLUME GOES UP (DIRECT) CHARLES LAW SAYS: V 1 / T 1 = V 2 / T 2 VOLUMES 1 AND 2 MUST BE THE SAME UNITS TEMPERATURES 1 AND 2 MUST BE IN KELVIN KELVIN RULES CHARLESPowerPoint Presentation: Volume T E M P E R A T U R E - 273 0 C Absolute Zero Temperature vs Volume for an Ideal Gas No Gas is Ideal real gases liquefy before absolute zero An ideal gas would shrink to zero volume at absolute zeroWHAT IS KELVIN TEMPERATURE ? : WHAT IS KELVIN TEMPERATURE ? KELVIN TEMPERATURE STARTS AT ABSOLUTE ZERO (- 273 DEGREES CELSIUS) AT ABSOLUTE ZERO, NO HEAT IS PRESENT IN THE SYSTEM (A CONDITION WHICH CAN NEVER BE ACHIEVIED!) ALMOST ALL SCIENTIFIC CALCULATIONS INVOLVING TEMPERATURE USE THE KELVIN SCALE WHICH IS SOMETIMES CALLED THE ABSOLUTE TEMPERATURE SCALE. KELVIN = 273 + DEGREES CELSIUSHOW DO PRESSURE CHANGES EFFECT A CONFINED GAS ? : HOW DO PRESSURE CHANGES EFFECT A CONFINED GAS ? AS THE TEMPERATURE ON A CONFINED GAS GOES UP, ITS PRESSURE INCREASES (DIRECT) GAY-LUSSAC’S LAW SAYS: P 1 / T 1 = P 2 / T 2 PRESSURES 1 AND 2 MUST BE THE SAME UNITS VOLUMES 1 AND 2 MUST BE THE SAME UNITS TEMPERATURES 1 AND 2 MUST BE IN KELVINWHAT IS THE COMBINED GAS LAW ?: WHAT IS THE COMBINED GAS LAW ? THE COMBINED LAW IS BOYLE’S LAW, CHARLES LAW AND GAY-LUSSAC’S LAW TOGETHER. IT ALLOWS US TO CALCULATE THE EFFECTS OF TEMPERATURE, PRESSURE AND VOLUME ON A GAS AT THE SAME TIME. (P 1 x V 1 ) / T 1 = (P 2 x V 2 ) / T 2 PRESSURES 1 AND 2 MUST BE THE SAME UNITS TEMPERATURES 1 AND 2 MUST BE IN KELVINWHY ARE BOYLE’S, CHARLES AND GAY-LUSSAC’S LAWS CALLED “THE GAS LAWS” ?: WHY ARE BOYLE’S, CHARLES AND GAY-LUSSAC’S LAWS CALLED “THE GAS LAWS” ? BECAUSE THEY APPLY TO ALL GAS PROPERTIES THAT APPLY TO AN ENTIRE CLASS OF SUBSTANCES AS A COLLECTION OF PARTICLES RATHER THAN INDIVIDUAL MATERIALS ARE CALLED “COLLIGATIVE PROPERTIES”. COLLIGATIVE MEANS “COLLECTIVE” PRESSURE, VOLUME, TEMPERATURE AND NUMBER OF MOLES ARE CALLED COLLIGATIVE PROPERTIES OF GASES !AVOGADRO’S HYPOTHESIS : AVOGADRO’S HYPOTHESIS THE UNDER LYING THEORY THAT ALLOWS THE GAS LAWS TO BE APPLIED EQUALLY WELL TO ALL GASES IS: “EQUAL VOLUMES OF DIFFERENT GASES, AT THE SAME TEMPERATURE AND PRESSURE, CONTAIN EQUAL MOLES” ANY GAS - ONE MOLE 22.4 LITERS AT STP AVOGADROCOMMONLY USED CONDITIONS OF TEMPERATURE AND PRESSURE ARE ZERO DEGREES CELSIUS AND ONE ATOMSPHERE PRESSURE: COMMONLY USED CONDITIONS OF TEMPERATURE AND PRESSURE ARE ZERO DEGREES CELSIUS AND ONE ATOMSPHERE PRESSURE THESE CONDITIONS ARE CALLED STANDARD TEMPERATURE AND STANDARD PRESSURE (STP) ONE MOLE OF ANY GAS OCCUPIES 22.4 LITERS AT STP CONDITIONS . TO OBTAIN MOLES OF GAS PRESENT AT STP FROM THE NUMBER OF LITERS, DIVIDE LITERS BY 22.4 TO OBTAIN LITERS OF GAS PRESENT AT STP FROM THE NUMBER OF MOLES, MULTIPLY BY 22.4STP VOLUMES OF DIFFERENT GASSES: STP VOLUMES OF DIFFERENT GASSES: DALTON’S LAW DEALS WITH THE PARTIAL PRESSURE OF GASES. PARTIAL PRESSURE REFERS TO THE FACT THAT EACH GAS IN A MIXTURE OF GASES CAUSES ITS OWN INDIVIDUAL PRESSURE AS IF IT WERE ALONE IN THE CONTAINER. IF ALL THE PRESSURES OF EACH OF THE GASES IN A MIXTURE ARE ADDED TOGETHER, WE GET THE TOTAL PRESSURE OF THE GASES IN THE CONTAINER. DALTON’ LAWS OF PARTIAL PRESSURESDALTON’S LAWS (CONT’D): DALTON’S LAWS (CONT’D) TOTAL PRESSURE = PRESSURE OF GAS A + PRESSURE OF GAS B + PRESSURE OF GAS C + ETC. OR P TOTAL = P GAS A + P GAS B + P GAS C + P …….DALTON’S LAWS (CONT’D): DALTON’S LAWS (CONT’D) DALTON’S LAW ALSO TELLS US THAT THE PARTIAL PRESSURE OF EACH GAS IS RELATED TO THE NUMBER OF MOLES OF THAT GAS PRESENT OUT OF THE TOTAL MOLES PRESENT PRESSURE OF GAS A = (MOLES OF GAS A / TOTAL MOLES OF GAS) x TOTAL PRESSURE P GAS A = (N GAS A / N TOTAL ) x P TOTALTHE “KING” OF THE GAS LAWS – THE UNIVERSAL GAS LAW OFTEN CALLED THE IDEAL GAS LAW: THE “KING” OF THE GAS LAWS – THE UNIVERSAL GAS LAW OFTEN CALLED THE IDEAL GAS LAW PRESSURE x VOLUME = MOLES x A CONSTANT x TEMPERATURE OR P x V = N x R x T P = PRESSURE (ATM) V = VOLUME (LITERS) N = MOLES T = TEMPERATURE (K) R = .0821 ATM x L/ MOLES x KELVIN (A CONSTANT) R IS CALLED “THE GAS CONSTANT”SUMMARY OF EQUATIONS: SUMMARY OF EQUATIONS BOYLE’S LAW: P 1 x V 1 = P 2 x V 2 CHARLES LAW: V 1 / T 1 = V 2 / T 2 GAY-LUSSAC’S LAW: P 1 / T 1 = P 2 / T 2 KELVIN = 273 + DEGREES CELSIUS COMBINED GAS LAW (P 1 x V 1 ) / T 1 = (P 2 x V 2 ) / T 2 DALTON’S LAW P TOTAL = P GAS A + P GAS B + P GAS C + P …….SUMMARY OF EQUATIONS (CONT’D): SUMMARY OF EQUATIONS (CONT’D) DALTON’S LAW (CONT’D) P GAS A = (N GAS A / N TOTAL ) x P TOTAL AVOGADRO’S HYPOTHESIS “EQUAL VOLUMES OF DIFFERENT GASES, AT THE SAME TEMPERATURE AND PRESSURE, CONTAIN EQUAL MOLES” UNIVERSAL GAS LAW P x V = N x R x TTHINGS YET TO COME !! : THINGS YET TO COME !! OUR NEXT PROGRAM WILL DEAL WILL SOLVING GAS LAW PROBLEMS. BRING YOUR CALCULATOR !!PowerPoint Presentation: THE END