22.5 mL sample of liquid ethanol (C₂H₅OH, density = 0.789 g/mL) was injected into a 10.0 L cylinder containing O₂ at a pressure of 4.50 atm and a temperature of 25°C. The cylinder was heated to 125°C and a spark was used to ignite the ethanol, which was completely combusted. What was the final total pressure in the cylinder (in atm) after the reaction, while it was still at 125°C?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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3. 22.5 mL sample of liquid ethanol (C₂H₅OH, density = 0.789 g/mL) was injected into a 10.0 L cylinder containing O₂ at a pressure of 4.50 atm and a temperature of 25°C. The cylinder was heated to 125°C and a spark was used to ignite the ethanol, which was completely combusted. What was the final total pressure in the cylinder (in atm) after the reaction, while it was still at 125°C?
 
4. Suppose a gas mixture used for anesthesia contains 4.00 mol oxygen (O₂) and 6.00 mol nitrous oxide (N₂O). The total pressure of the mixture is 2.00 atm.
a. A mole fraction is defined as the moles of a specific component divided by the total number of moles present. What is the mole fraction of N₂O in this mixture?
b. What is the partial pressure in atm of O₂ in this mixture?
c. What is the partial pressure in atm of N₂O in this mixture?
 
5. A gas is formed in the reaction shown below. The gas laws can help determine the volume of gas produced. Zn(s) + 2 HCl(aq) → ZnCl₂ + H₂(g)
a. In the last part, you determined that you started with 2.001 moles of Zn. How many moles of H₂ gas will be formed in this reaction?
b. At STP, what volume in L of H₂ will be produced?
Remember the gas constant, R, is 0.08206 L・atm/mol・K.
 
6. When the ideas from Boyle’s Law, Charles’ Law and Gay-Lussac’s Law are combined, you get the combined gas law. This law combines the effects of pressure, temperature and volume changes on a gas. Remember the combined gas law is P₁V₁/T₁ = P₂V₂/T₂ Imagine an ideal gas in a cylinder with a piston, starting at a pressure of 1.00 atm and a volume of 10.0 L at 298.15 K. This system is cooled to 273.15 K and compressed to 5.00 L. What is the final pressure in the cylinder, in atm?
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