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### Chemistry Problem on Ideal Gas Law #### Problem Statement: A sealed 62 m³ tank is filled with 9000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 390 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to: #### Multiple Choice Options: - A. 2.3 - B. 5.8 - C. 3.5 - D. 4.6 #### Explanation: - **Tank Volume (V):** 62 m³ - **Number of Moles (n):** 9000 moles - **Initial Temperature (T₁):** 270 K - **Final Temperature (T₂):** 390 K - **Atomic Mass of Oxygen (M):** 16.0 g/mol The problem is to determine the mass density of the oxygen gas in the tank at the given conditions in SI units. #### Calculation Steps: 1. **Molecular Mass of Diatomic Oxygen (O₂):** - Each oxygen atom has an atomic mass of 16 g/mol. - Diatomic oxygen (O₂) has a molecular mass = 2 * 16.0 g/mol = 32.0 g/mol. 2. **Total Mass of Oxygen Gas:** - Total mass (m) = Number of moles (n) * Molecular mass (M) - Total mass = 9000 moles * 32.0 g/mol = 288000 g = 288 kg 3. **Mass Density Calculation:** - Mass density (ρ) = Total mass / Volume - Mass density = 288 kg / 62 m³ ≈ 4.645 kg/m³ #### Answer: The mass density of the oxygen gas in the tank is closest to option D. 4.6 kg/m³. --- ### Physics Problem on Kinematics #### Question 7: (No specific details provided in the provided image for Question 7) #### Instructions: - Click "Save and Submit" to save and submit your answers. - Click "Save All Answers" to save all your answers. Please review the theory and practical application of the Ideal Gas Law to solve gas density problems effectively. For additional practice, refer to similar problems and

### Chemistry Problem on Ideal Gas Law #### Problem Statement: A sealed 62 m³ tank is filled with 9000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 390 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to: #### Multiple Choice Options: - A. 2.3 - B. 5.8 - C. 3.5 - D. 4.6 #### Explanation: - **Tank Volume (V):** 62 m³ - **Number of Moles (n):** 9000 moles - **Initial Temperature (T₁):** 270 K - **Final Temperature (T₂):** 390 K - **Atomic Mass of Oxygen (M):** 16.0 g/mol The problem is to determine the mass density of the oxygen gas in the tank at the given conditions in SI units. #### Calculation Steps: 1. **Molecular Mass of Diatomic Oxygen (O₂):** - Each oxygen atom has an atomic mass of 16 g/mol. - Diatomic oxygen (O₂) has a molecular mass = 2 * 16.0 g/mol = 32.0 g/mol. 2. **Total Mass of Oxygen Gas:** - Total mass (m) = Number of moles (n) * Molecular mass (M) - Total mass = 9000 moles * 32.0 g/mol = 288000 g = 288 kg 3. **Mass Density Calculation:** - Mass density (ρ) = Total mass / Volume - Mass density = 288 kg / 62 m³ ≈ 4.645 kg/m³ #### Answer: The mass density of the oxygen gas in the tank is closest to option D. 4.6 kg/m³. --- ### Physics Problem on Kinematics #### Question 7: (No specific details provided in the provided image for Question 7) #### Instructions: - Click "Save and Submit" to save and submit your answers. - Click "Save All Answers" to save all your answers. Please review the theory and practical application of the Ideal Gas Law to solve gas density problems effectively. For additional practice, refer to similar problems and

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Chemistry Problem on Ideal Gas Law #### Problem Statement: A sealed 62 m³ tank is filled with 9000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 390 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to: #### Multiple Choice Options: - A. 2.3 - B. 5.8 - C. 3.5 - D. 4.6 #### Explanation: - **Tank Volume (V):** 62 m³ - **Number of Moles (n):** 9000 moles - **Initial Temperature (T₁):** 270 K - **Final Temperature (T₂):** 390 K - **Atomic Mass of Oxygen (M):** 16.0 g/mol The problem is to determine the mass density of the oxygen gas in the tank at the given conditions in SI units. #### Calculation Steps: 1. **Molecular Mass of Diatomic Oxygen (O₂):** - Each oxygen atom has an atomic mass of 16 g/mol. - Diatomic oxygen (O₂) has a molecular mass = 2 * 16.0 g/mol = 32.0 g/mol. 2. **Total Mass of Oxygen Gas:** - Total mass (m) = Number of moles (n) * Molecular mass (M) - Total mass = 9000 moles * 32.0 g/mol = 288000 g = 288 kg 3. **Mass Density Calculation:** - Mass density (ρ) = Total mass / Volume - Mass density = 288 kg / 62 m³ ≈ 4.645 kg/m³ #### Answer: The mass density of the oxygen gas in the tank is closest to option D. 4.6 kg/m³. --- ### Physics Problem on Kinematics #### Question 7: (No specific details provided in the provided image for Question 7) #### Instructions: - Click "Save and Submit" to save and submit your answers. - Click "Save All Answers" to save all your answers. Please review the theory and practical application of the Ideal Gas Law to solve gas density problems effectively. For additional practice, refer to similar problems and
Transcribed Image Text:### Chemistry Problem on Ideal Gas Law #### Problem Statement: A sealed 62 m³ tank is filled with 9000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 390 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to: #### Multiple Choice Options: - A. 2.3 - B. 5.8 - C. 3.5 - D. 4.6 #### Explanation: - **Tank Volume (V):** 62 m³ - **Number of Moles (n):** 9000 moles - **Initial Temperature (T₁):** 270 K - **Final Temperature (T₂):** 390 K - **Atomic Mass of Oxygen (M):** 16.0 g/mol The problem is to determine the mass density of the oxygen gas in the tank at the given conditions in SI units. #### Calculation Steps: 1. **Molecular Mass of Diatomic Oxygen (O₂):** - Each oxygen atom has an atomic mass of 16 g/mol. - Diatomic oxygen (O₂) has a molecular mass = 2 * 16.0 g/mol = 32.0 g/mol. 2. **Total Mass of Oxygen Gas:** - Total mass (m) = Number of moles (n) * Molecular mass (M) - Total mass = 9000 moles * 32.0 g/mol = 288000 g = 288 kg 3. **Mass Density Calculation:** - Mass density (ρ) = Total mass / Volume - Mass density = 288 kg / 62 m³ ≈ 4.645 kg/m³ #### Answer: The mass density of the oxygen gas in the tank is closest to option D. 4.6 kg/m³. --- ### Physics Problem on Kinematics #### Question 7: (No specific details provided in the provided image for Question 7) #### Instructions: - Click "Save and Submit" to save and submit your answers. - Click "Save All Answers" to save all your answers. Please review the theory and practical application of the Ideal Gas Law to solve gas density problems effectively. For additional practice, refer to similar problems and
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