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An all-encompassing practice problem for Ch. 5…A. P

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2 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if, after the reaction takes place, the CO2 is found to exist at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container.

3 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if, after the reaction takes place, the CO2 is found to exist at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container.

4 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if, after the reaction takes place, the CO2 is found to exist at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container.

5 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if, after the reaction takes place, the CO2 is found to exist at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container.

6 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if, after the reaction takes place, the CO2 is found to exist at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container.

7 √ √ CH4 MMunk= 16.1 g/mol Uunk MMBr2 Rateunk timeBr2 UBr2 MMunk
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. amount unk/timeunk Uunk MMBr2 Rateunk timeBr2 = = = UBr MMunk RateBr timeunk amount Br2/timeBr2 4.73min g CH4 = 1.50min MMunk MMunk= 16.1 g/mol

8 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if the reaction takes place at 25. 0° C and torr. An all-encompassing practice problem for Ch. 5…A.P. Chem This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if the reaction takes place at 25. 0° C and torr. Write the balanced chemical reaction… CH4(g) O2(g) → CO2(g) H2O(g) Now do the stoichiometry…find the limiting reactant. Using the relationship that 1 mole of any gas at STP has a volume of 22.4 L you get: 0.2000L CH4 (1mol/22.4L) = mol CH4 and 0.1500L O2 (1 mol/22.4L) = mol O2 L.R. (1 mol CO2/2 mol O2) = mol CO2 Plugging into the ideal gas law: V = nRT/P VCO2= 84.1 mL

9 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if, after the reaction takes place, the CO2 is found to exist at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container.

10 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Find the moles of SO2…

11 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Find the moles of SO2… Find the mole fraction of each…

12 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Find the moles of SO2… Find the mole fraction of each… Use the mole fraction of the CO2 and the partial pressure of the CO2 to find the total pressure….

13 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Find the moles of SO2… Find the mole fraction of each… Use the mole fraction of the CO2 and the partial pressure of the CO2 to find the total pressure…. Find the partial pressure of the SO2…

14 Find the moles of SO2… Find the mole fraction of each…
An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Find the moles of SO2… Find the mole fraction of each… Use the mole fraction of the CO2 and the partial pressure of the CO2 to find the total pressure…. Find the partial pressure of the SO2… Knowing the molar mass of each gas…find velocity of each… moles of SO2 = mol (moles of CO2 = mol) ‹―from last prob. CSO2 = mol/ mol = and so… CCO2= 0.625 CCO2(Ptot) = PCO2 PCO2=740.0 torr Ptot=1180. torr PSO2=440. torr UCO2 = [3(8.31 J/mol K)(298 K) / kg]½ = 411 m/s ; USO2= 340 m/s

15 An all-encompassing practice problem for Ch. 5…A. P
An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and hydrogen is generated by certain anaerobic bacterium cultures in marshlands and areas where sewage drains. A pure sample of this gas is found to effuse through a certain porous barrier in 1.50 minutes. Under identical circumstances of temperature and pressure, it takes an equal volume of bromine gas 4.73 minutes to effuse. This gas is also shown to react with oxygen to produce two products; one is carbon dioxide. If mL of this gas (from a container which is stored at STP) is reacted with mL of O2 stored at STP, what volume of carbon dioxide, in mL, is produced if the reaction takes place at 25. 0° C and torr. If this CO2 is collected and stored in a container to which a gram sample of SO2 is added, what would be the total pressure of the gas sample mixture? What would be the mole fraction of each gas? What about the partial pressure of each and what would be the speed (rms velocity) of each? Finally, make a description in words of what these gases are behaving like in that container

16 An all-encompassing practice problem for Ch. 5…A.P. Chem
This sample of gas can be described as a mixture of dimensionless particles of the gases carbon dioxide and sulfur dioxide which are moving at average speeds of 411 m/s and 340 m/s respectively without interacting with each other while colliding with their container walls 100% elastically to create a pressure of 1180 torr.


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