You are a forensic scientist. You are investigating a murder involving poison. The victim was poisoned with a compound called di-chlorobenzene, whose formula is C6H4Cl2. Autopsy results show that the victim’s body contained about 27.5 g of the poison, but the actual amount could have been slightly higher due to tissue absorption. The main suspect is his wife, Suzanne, who works as a chemistry professor. Records show that she purchased 15 g of benzene (C6H6) two days before the murder. Benzene is one of the compounds use to make the poison. She claims she was using it to make methyl benzene (C6H5CH3), an innocuous compound, for use in her lab. She shows you the bottle of methyl benzene she claims to have made. It contains 25 g of methyl benzene. To produce di-chlorobenzene, the reaction is: Cl2(g) + C6H6(l) ⟶⟶ C6H4Cl2(l) + H2(g) To produce methyl benzene, the reaction is: CH4(g) + C6H6(l) ⟶⟶ C6H5CH3(l) + H2(g) Use stoichiometry to solve this case. Be sure to show all your work and explain whether the results show the wife to be innocent or a murderer. Is she telling the truth? Calculate the mass of methyl benzene that can be made from 15 g of benzene Calculate the mass of chlorobenzene that can be made from 15 g of benzene. If you can show that it is possible to produce 25 g of methyl benzene from 15 g of benzene, then she was telling the truth.
Solve the following scenarios using stoichiometry and dimensional analysis.
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Scenarios
- You are a
forensic scientist. You are investigating a murder involving poison. The victim was poisoned with a compound called di-chlorobenzene, whose formula is C6H4Cl2. Autopsy results show that the victim’s body contained about 27.5 g of the poison, but the actual amount could have been slightly higher due to tissue absorption. The main suspect is his wife, Suzanne, who works as a chemistry professor. Records show that she purchased 15 g of benzene (C6H6) two days before the murder. Benzene is one of the compounds use to make the poison. She claims she was using it to make methyl benzene (C6H5CH3), an innocuous compound, for use in her lab. She shows you the bottle of methyl benzene she claims to have made. It contains 25 g of methyl benzene.
To produce di-chlorobenzene, the reaction is:
Cl2(g) + C6H6(l) ⟶⟶ C6H4Cl2(l) + H2(g)
To produce methyl benzene, the reaction is:
CH4(g) + C6H6(l) ⟶⟶ C6H5CH3(l) + H2(g)
Use stoichiometry to solve this case. Be sure to show all your work and explain whether the results show the wife to be innocent or a murderer. Is she telling the truth?
- Calculate the mass of methyl benzene that can be made from 15 g of benzene
- Calculate the mass of chlorobenzene that can be made from 15 g of benzene.
- If you can show that it is possible to produce 25 g of methyl benzene from 15 g of benzene, then she was telling the truth.
- In a space shuttle, the CO2 that the crew exhales is removed from the air by a reaction within canisters of lithium hydroxide. On average, each astronaut exhales about 20.0 mol of CO2. The reaction between carbon dioxide and lithium hydroxide is shown below:
CO2(g) + 2LiOH(s) ⟶⟶ Li2CO3(aq) + H2O(l)
What volume of water will be produced when this amount (20.0 mol) of CO2 reacts with an excess of LiOH? (Hint: Use the density of water 1.00 g/mL in your solution)
- The Apollo 13 mission astronauts are running out of oxygen and need to get rid of the excess carbon dioxide. You know that sodium hydroxide can remove carbon dioxide from the spacecraft cabin. The filter which they had been using is fully saturated and no longer works. The astronauts have a 5 kg container of sodium hydroxide on the ship. The reaction to neutralize the air, remove carbon dioxide with sodium hydroxide is shown below
CO2(g) + 2NaOH(s) ⟶⟶ Na2CO3(aq) + H2O(l)
The astronauts have 2 days left before they land on earth. You know that there are three astronauts, and each astronaut emits roughly 500. g of carbon dioxide each day. Is there enough sodium hydroxide in the cabin to cleanse the cabin air of the carbon dioxide, or are the astronauts doomed? Calculate how much sodium hydroxide is required to remove all the carbon dioxide from the three astronauts. Be sure to show all your work!
- Given the following equation, answer the following questions:
Al2O3(s) + Fe(s) ⟶⟶ Fe3O4(s) + Al(s)
- Balance the chemical equation
- If 25.4 g of aluminum oxide reacts with 10.20 grams of iron metal, then determine the grams of Fe3O4 that are produced.
- If 25.4 g of aluminum oxide reacts with 10.20 grams of iron metal, then determine the grams of Al produced.
- Determine the grams of the excess reagent left after the reaction is complete.
- If 12.3 g of Fe3O4 was isolated, what is the percent yield of the reaction? Show all calculations, including units.
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