As shown in the figure, a tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen (N₂), initially at 27°C, 0.1 MPa. Over a period of 15 minutes, electric power of 0.12 kW is provided to the resistor. During this same period, a heat transfer of magnitude 10.5 kJ occurs from the nitrogen to its surroundings. Assume ideal gas behavior, but do not assume constant specific heats.**Diagram Explanation:**The diagram shows a tank containing nitrogen (N₂) with the following initial conditions:- Mass (m) = 2 kg- Initial temperature (T₁) = 27°C- Initial pressure (ρ₁) = 0.1 MPaAn electrical resistor is placed inside the tank, denoted by a coil symbol with an electric power input labeled as \( \dot{E}_{electric} \). An arrow pointing out of the tank indicates the heat transfer labeled as \( Q_{out, 12} = 10.5 \, \text{kJ} \).**Task:**Determine the final temperature, in °C, and the final pressure, in MPa.

Answered: Image /qna-images/answer/c674b280-5008-4601-a5a6-383a950558f8.jpg

As shown in the figure, a tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen (N₂), initially at 27°C, 0.1 MPa. Over a period of 15 minutes, electric power of 0.12 kW is provided to the resistor. During this same period, a heat transfer of magnitude 10.5 kJ occurs from the nitrogen to its surroundings. Assume ideal gas behavior, but do not assume constant specific heats. Nitrogen, N₂ m = 2 kg T₁ = 27°C P₁ = 0.1 MPa +0000000* Qout, 12 = 10.5 kJ Determine the final temperature, in °C, and the final pressure, in MPa. É electric

As shown in the figure, a tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen (N₂), initially at 27°C, 0.1 MPa. Over a period of 15 minutes, electric power of 0.12 kW is provided to the resistor. During this same period, a heat transfer of magnitude 10.5 kJ occurs from the nitrogen to its surroundings. Assume ideal gas behavior, but do not assume constant specific heats. Nitrogen, N₂ m = 2 kg T₁ = 27°C P₁ = 0.1 MPa +0000000* Qout, 12 = 10.5 kJ Determine the final temperature, in °C, and the final pressure, in MPa. É electric

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

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As shown in the figure, a tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen (N₂), initially at 27°C, 0.1 MPa. Over a period of 15 minutes, electric power of 0.12 kW is provided to the resistor. During this same period, a heat transfer of magnitude 10.5 kJ occurs from the nitrogen to its surroundings. Assume ideal gas behavior, but do not assume constant specific heats.

**Diagram Explanation:**

The diagram shows a tank containing nitrogen (N₂) with the following initial conditions:
- Mass (m) = 2 kg
- Initial temperature (T₁) = 27°C
- Initial pressure (ρ₁) = 0.1 MPa

An electrical resistor is placed inside the tank, denoted by a coil symbol with an electric power input labeled as \( \dot{E}_{electric} \). An arrow pointing out of the tank indicates the heat transfer labeled as \( Q_{out, 12} = 10.5 \, \text{kJ} \).

**Task:**
Determine the final temperature, in °C, and the final pressure, in MPa.

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