### Question 7A sealed 99 m³ tank is filled with 6000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 320 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in SI units, is closest to:- 3.9- 1.9- 1.5- 2.4- 0.97#### Explanation:To determine the closest mass density of the oxygen gas, you can use the data provided from the problem.For reference: \[\text{Density} (\rho) = \frac{\text{mass}}{\text{volume}}\]Mass can be calculated using the number of moles and the atomic mass:\[\text{Mass} = \text{moles} \times \text{molecular mass}\]Given:- Volume \( V = 99 \, m^3 \)- Moles \( n = 6000 \) moles- Molecular mass of O\(_2\) (since it is diatomic) = \( 2 \times 16 = 32 \, g/mol = 0.032 \, kg/mol \)So, the mass of the gas is:\[\text{Mass} = 6000 \, \text{moles} \times 0.032 \, \text{kg/mol} = 192 \, \text{kg}\]Finally, density is:\[\rho = \frac{192 \, \text{kg}}{99 \, m^3} \approx 1.939 \, kg/m^3\]The closest value to this result is 1.9, so the correct answer is:- 1.9

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A sealed 99 m3 tank is filled with 6000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 320 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in Sl units, is closest to:

A sealed 99 m3 tank is filled with 6000 moles of ideal oxygen gas (diatomic) at an initial temperature of 270 K. The gas is heated to a final temperature of 320 K. The atomic mass of oxygen is 16.0 g/mol. The mass density of the oxygen gas, in Sl units, is closest to:

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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