### Question 10 A sealed 98 m³ tank is filled with 4000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 430 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to: - A) 0.98 - B) 1.6 - C) 0.65 - D) 1.3 - E) 2.6 ### Instructions: Click "Save and Submit" to save and submit. Click "Save All Answers" to save all answers. --- ### Explanation: This question requires you to determine the mass density of diatomic oxygen gas under given conditions. The key details provided include: 1. **Volume of the tank:** 98 m³ 2. **Number of moles of oxygen gas:** 4000 moles 3. **Initial temperature:** 270 K 4. **Final temperature:** 430 K 5. **Atomic mass of oxygen:** 16.0 g/mol (since oxygen is diatomic, O₂, its molar mass is \(32.0 \, \text{g/mol}\)) The options for the mass density are given in SI units. To solve the problem, consider using the ideal gas law and relevant conversions. The calculation of density involves finding the mass of the gas and dividing by the volume. --- For further details, students should apply the principles of gas laws and unit conversions.
### Question 10 A sealed 98 m³ tank is filled with 4000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 430 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to: - A) 0.98 - B) 1.6 - C) 0.65 - D) 1.3 - E) 2.6 ### Instructions: Click "Save and Submit" to save and submit. Click "Save All Answers" to save all answers. --- ### Explanation: This question requires you to determine the mass density of diatomic oxygen gas under given conditions. The key details provided include: 1. **Volume of the tank:** 98 m³ 2. **Number of moles of oxygen gas:** 4000 moles 3. **Initial temperature:** 270 K 4. **Final temperature:** 430 K 5. **Atomic mass of oxygen:** 16.0 g/mol (since oxygen is diatomic, O₂, its molar mass is \(32.0 \, \text{g/mol}\)) The options for the mass density are given in SI units. To solve the problem, consider using the ideal gas law and relevant conversions. The calculation of density involves finding the mass of the gas and dividing by the volume. --- For further details, students should apply the principles of gas laws and unit conversions.
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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Transcribed Image Text:### Question 10
A sealed 98 m³ tank is filled with 4000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 430 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to:
- A) 0.98
- B) 1.6
- C) 0.65
- D) 1.3
- E) 2.6
### Instructions:
Click "Save and Submit" to save and submit. Click "Save All Answers" to save all answers.
---
### Explanation:
This question requires you to determine the mass density of diatomic oxygen gas under given conditions. The key details provided include:
1. **Volume of the tank:** 98 m³
2. **Number of moles of oxygen gas:** 4000 moles
3. **Initial temperature:** 270 K
4. **Final temperature:** 430 K
5. **Atomic mass of oxygen:** 16.0 g/mol (since oxygen is diatomic, O₂, its molar mass is \(32.0 \, \text{g/mol}\))
The options for the mass density are given in SI units.
To solve the problem, consider using the ideal gas law and relevant conversions. The calculation of density involves finding the mass of the gas and dividing by the volume.
---
For further details, students should apply the principles of gas laws and unit conversions.
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