Gases Unit 3 PDF
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This document explains gas laws, including Boyle's and Charles' Laws, focusing on the relationships between pressure, volume and temperature. It includes examples and practice questions related to gas calculations. Some practice problems with pressure and temperature conversion.
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Unit 3: Gases Empirical (Observable) Proper ties Take shape of container – No definite volume or shape Hold a lot of Ek – Molecules are moving quickly Can be compressed – Large spaces between molecules Fluid – Can flow Unable to see because of space between particles – U...
Unit 3: Gases Empirical (Observable) Proper ties Take shape of container – No definite volume or shape Hold a lot of Ek – Molecules are moving quickly Can be compressed – Large spaces between molecules Fluid – Can flow Unable to see because of space between particles – Use quantitative properties to characterize Pressure (P) Volume (V) # particles (moles) Temperature (T) – These properties can be manipulated Manipulate one effect on another You have 5 gas cylinders; all have the same mass of N2(g) What is the order of gas cylinders, from most likely to explode to least likely to explode? Relationship between Pressure & Volume Temperature & amount (moles) remain constant Pressure – Force over an area P=F/A If F , P ? F , P Units of Pressure – Millimeters of mercury mm Hg – Pascal (Pa) kPa =1000 Pa – Atmosphere atm Standard Pressures – @ sea level =1 atm = 760 mm Hg = 101.325 kPa *101 kPa *Higher up you go, the lower the pressure Pressure Ratios 1 atm 101 kPa 1 atm 760 mm Hg 101 kPa 760 mm Hg To covert: – Multiply given pressure by a conversion factor! 101 1 atm kPa 101 kPa 1 atm Pressure Conversions: kPA atm mm Hg 96.5 825 2.50 Pressure Conversions: kPA atm mm Hg 96.5 0.955 726 110 1.09 825 253 2.50 1.90 x 103 (1900) Standard conditions – STP Standard temperature & pressure 101 kPa – SATP Standard ambient temperature & pressure 100 kPa Lab Assignment 1: Pressure, Volume & Temperature go-el.com – Boyle’s & Charles’ Law Part A: Relationship between Pressure & Volume – Problem – Hypothesis – Data – Analysis Graph – X-axis = manipulated variable – Y-axis = responding variable – What is the relationship between pressure & volume? – As P , V – As P , V BOYLE’S LAW – As P , V proportionally If P x2, V x2 – T & amount (moles) – Units Pressure = kPa Volume = L P1V1 = P2V2 – Rearranging the equation: At an initial pressure, a gas has a particular volume. What would the volume be if the pressure was changed? V2 = P1V1 P2 – Example: A 2.0L party balloon at 98 kPa is taken to the top of a mountain where the pressure is 75 kPa. Assume that the temperature and chemical amount of the gas remain the same. What is the new volume of the balloon? V2 = (98kPa) P1V 1 = P 2V 2 (2.0L) 75kPa V 2 = P 1V 1 V2 = 2.6L G S I D R! P2 I G TE S T M A Workbook – Boyle’s Law #1-7 Lab Assignment 1: Pressure, Volume & Temperature https://gizmos.explorelearning.com/ – Boyle’s & Charles’ Law Part B: Relationship between Temperature & Volume – Problem – Hypothesis – Data – Analysis Graph – X-axis = manipulated variable – Y-axis = responding variable – Relationship between Temperature & Volume Amount (moles) & pressure are constant Place a balloon into liquid N2 (-196°C) – What happens? Why? T , V T , V Temperature Scales – Celsius scale Based on properties of water 0ºC – freeze/melt 100ºC – condense/evaporate – Kelvin scale Based on absolute zero – No Ek (motion) – Theoretically, V = 0 @ °C K +273 K °C -273 Convert the following Celsius temperatures to absolute temperatures. a) OºC c) -30ºC b) 100ºC d) 25ºC Convert the following absolute temperatures to Celsius temperatures. a) 0K c) 300K b) 100K d) 373K Charles’ Law – As T , V proportionally – P & amount (moles) are constant V1 = V2 T1 T2 Units: Volume = L Temperature = K – Rearranging the equation: What is the new volume of a gas if it’s temperature was decrease from it’s initial temperature? V1 = V2 V1T2 = V2T1 T1 T2 S! I T R UN V2 = V1T2 O U K Y T1 E C CH – Example: In a test of Charles’ Law, a gas inside a cylinder with a movable piston is heated to 315ºC. The initial volume of gas in the cylinder is 0.30L at 25ºC. What will be the final volume when the temperature is 315ºC? V1T2 = V2T1 V1 = V2 T1 T2 V2 = (0.30L)(588K) (298K) V2 = V1T2 V2 = 0.59L T1 ONLY 2 SIG DIGS – you didn’t use Workbook – Charles’ Law #1-7 Relationship between Temperature & Pressure If P , T If P , T Proportional – Shows relationship between P, V & T Amount (moles) remains constant – The relationship P x V is constant @ fixed T – The relationship V / T is constant @ fixed P P1V1 = P2V2 T1 P1V1 = P1V1 = T2 P2V2 P2V2 T1BOYLE’S TCHARLES’ 1 T2 LAW T2 LAW Can be simplified to either law Pressure = kPA Volume = L T must be in K! – The pressure in an automobile tire is 200kPa at 27ºC. At the end of the journey on a hot sunny day the pressure has risen to 223kPa. What is the temperature of the air in the tire? (Assume V has not changed). P1T2 = P2T1 P1V1 = P2V2 T1 T2 T2 = P2T1 P1 T2 = (223kPa)(300K) 200kPa ALLOWED 3 SIG DIGS – you didn’t T2 = 334.5 K use 27ºC directly! T = 61.5 ºC Workbook – Combined Gas Law #1-8 Imploding Can – What is the difference between an implosion and an explosion? – Let’s do it! – Can you explain why the can imploded? Use the ideas of temperature, volume and pressure in your explanation.