An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and...

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Transcript of An all-encompassing practice problem for Ch. 5…A.P. Chem A flammable gas made only of carbon and...

Page 1: 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.
Page 2: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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.

Page 3: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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.

Page 4: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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.

Page 5: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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.

Page 6: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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.

Page 7: 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.

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.

Uunk MMBr2

UBr2 MMunk

=√ =Rateunk timeBr2

RateBr2 timeunk

=

MMunk= 16.1 g/molCH4

4.73min 159.8g1.50min MMunk

=√

amount unk/timeunk

amount Br2/timeBr2

Page 8: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. Write the balanced chemical reaction…

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) = 0.00893 mol CH4 and

0.1500L O2 (1 mol/22.4L) = 0.00670 mol O2

CH4(g) + 2O2(g) → CO2(g) + 2H2O(g)

Now do the stoichiometry…find the limiting reactant.

L.R.

Plugging into the ideal gas law: V = nRT/P

VCO2= 84.1 mL

(1 mol CO2/2 mol O2)

= 0.00335 mol CO2

Page 9: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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.

Page 10: 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.

An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a 0.129 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…

Page 11: 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.

An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a 0.129 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…

Page 12: 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.

An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a 0.129 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….

Page 13: 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.

An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a 0.129 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…

Page 14: 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.

An all-encompassing practice problem for Ch. 5…A.P. Chem If this CO2 is collected and stored in a container to which a 0.129 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 = 0.00201 mol (moles of CO2 = 0.00335 mol) ‹―from last prob.

SO2 = 0.00201 mol/0.00536 mol = 0.375 and so… CO2

=

0.625

CO2(Ptot) = PCO2

PCO2=740.0 torr Ptot=1180. torr PSO2

=440.

torr

UCO2 = [3(8.31 J/mol K)(298 K) / 0.0440 kg]½ = 411 m/s ; USO2

= 340 m/s

Page 15: 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.

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 200.0 mL of this gas (from a container which is stored at STP) is reacted with 150.0 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 740.0 torr. If this CO2 is collected and stored in a container to which a 0.129 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

Page 16: 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.

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.