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Using Energy Concepts and the Ideal Gas ModelNitrogen (N2)
Chapter 3, Problem 118P(choose chapter or problem)
Nitrogen \(\left(\mathrm{N}_2\right)\) fills a closed, rigid tank fitted with a paddle wheel, initially at \(540^{\circ} \mathrm{R}, 20 \mathrm{lbf} / \mathrm{in}^2\), and a volume of \(2 \mathrm{ft}^3\). The gas is stirred until its temperature is \(760^{\circ} \mathrm{R}\). During this process heat transfer from the gas to its surroundings occurs in an amount 1.6 Btu. Assuming ideal gas behavior, determine the mass of the nitrogen, in lb, and the work, in Btu. Kinetic and potential energy effects can be ignored.
Questions & Answers
QUESTION:
Nitrogen \(\left(\mathrm{N}_2\right)\) fills a closed, rigid tank fitted with a paddle wheel, initially at \(540^{\circ} \mathrm{R}, 20 \mathrm{lbf} / \mathrm{in}^2\), and a volume of \(2 \mathrm{ft}^3\). The gas is stirred until its temperature is \(760^{\circ} \mathrm{R}\). During this process heat transfer from the gas to its surroundings occurs in an amount 1.6 Btu. Assuming ideal gas behavior, determine the mass of the nitrogen, in lb, and the work, in Btu. Kinetic and potential energy effects can be ignored.
ANSWER:Step 1az:
A nitrogen gas filled tank is fitted with a paddle wheel and stirred continuously to reach a particular temperature. The heat transfers to the surroundings. Assume that the gas is in ideal condition and neglecting kinetic and potential energy. We are going to find the mass of the gas and the work.
The initial temperature T1 = 540°R
The initial pressure P1 = 20 lbf/in2 = 2880 lbf/ft2
The final temperature T2 = 760°R
The volume of the tank V = 2 ft3
The heat lost Q = -1.6 Btu
Molecular weight of nitrogen molecule M = 28.01 lb/lb.mol