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Solution: Using Energy Concepts and the Ideal Gas ModelAs
Chapter 3, Problem 125P(choose chapter or problem)
As shown in Fig. P3.125, a tank fitted with an electrical resistor of negligible mass holds \(2 \mathrm{~kg}\) of nitrogen \(\left(\mathrm{N}_2\right)\), initially at \(27^{\circ} \mathrm{C}, 0.1 \mathrm{MPa}\). Over a period of 10 minutes, electricity is provided to the resistor at a rate of \(0.12 \mathrm{~kW}\). During this same period, a heat transfer of magnitude \(12.59 \mathrm{~kJ}\) occurs from the nitrogen to its surroundings. Assuming ideal gas behavior, determine the nitrogen's final temperature, in \({ }^{\circ} \mathrm{C}\), and final pressure, in MPa.
Questions & Answers
QUESTION:
As shown in Fig. P3.125, a tank fitted with an electrical resistor of negligible mass holds \(2 \mathrm{~kg}\) of nitrogen \(\left(\mathrm{N}_2\right)\), initially at \(27^{\circ} \mathrm{C}, 0.1 \mathrm{MPa}\). Over a period of 10 minutes, electricity is provided to the resistor at a rate of \(0.12 \mathrm{~kW}\). During this same period, a heat transfer of magnitude \(12.59 \mathrm{~kJ}\) occurs from the nitrogen to its surroundings. Assuming ideal gas behavior, determine the nitrogen's final temperature, in \({ }^{\circ} \mathrm{C}\), and final pressure, in MPa.
ANSWER:
Solution 125P
Step 1 of 6:
In this question, we need to find the final temperature and pressure of Nitrogen
Data given
Mass
Initial temperature
Initial pressure
Heat transferred by nitrogen to surrounding
Time of connected to circuit
Rate at which electricity is provided