A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is V1= 1.00 m3, the pressure is p1= 400.00 kPa, the temperature is T1= 300.00 K. An electric heater within the device is turned on for a time of Δt = 5.00 min. The current is I = 3.00 A, and the source voltage is V = 120.00 V. During the heating process, the gas expands, and a heat loss of Qout = 2.80 kJ occurs. The gas constant is R = 0.297 kPa·m3/(kg·K), and the room temperature specific heat at constant pressure is cp =1.039 kJ/(kg·K). Calculate the mass of the gas, m__________ (kg) **Transcription of the Educational Content:**A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is \( V_1 = 1.00 \, \text{m}^3 \), the pressure is \( p_1 = 400.00 \, \text{kPa} \), and the temperature is \( T_1 = 300.00 \, \text{K} \). An electric heater within the device is turned on for a time of \( \Delta t = 5.00 \, \text{min} \). The current is \( I = 3.00 \, \text{A} \), and the source voltage is \( V = 120.00 \, \text{V} \). During the heating process, the gas expands, and a heat loss of \( Q_{\text{out}} = 2.80 \, \text{kJ} \) occurs. The gas constant is \( R = 0.297 \, \text{kPa} \cdot \text{m}^3/(\text{kg} \cdot \text{K}) \), and the room temperature specific heat at constant pressure is \( c_p = 1.039 \, \text{kJ}/(\text{kg} \cdot \text{K}) \).Calculate the mass of the gas, \( m \) (kg).**Diagram Explanation:**The diagram shows a schematic of a piston-cylinder device. It contains the following elements:- A cylinder with a movable piston at the top.- The word "Gas" indicates the contents inside the cylinder.- A symbol representing an electric heater is shown at the bottom, indicating where heat is added to the system.This setup illustrates the principles of thermodynamics with respect to gas behavior and heat transfer in a piston-cylinder system.

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is V₁= 1.00 m³, the pressure is p₁= 400.00 kPa, the temperature is T₁= 300.00 K. An electric heater within the device is turned on for a time of Δt = 5.00 min. The current is I = 3.00 A, and the source voltage is V = 120.00 V. During the heating process, the gas expands, and a heat loss of Q_out = 2.80 kJ occurs. The gas constant is R = 0.297 kPa·m³/(kg·K), and the room temperature specific heat at constant pressure is cp =1.039 kJ/(kg·K).

Calculate the mass of the gas, m__________ (kg)

**Transcription of the Educational Content:**

A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is \( V_1 = 1.00 \, \text{m}^3 \), the pressure is \( p_1 = 400.00 \, \text{kPa} \), and the temperature is \( T_1 = 300.00 \, \text{K} \). An electric heater within the device is turned on for a time of \( \Delta t = 5.00 \, \text{min} \). The current is \( I = 3.00 \, \text{A} \), and the source voltage is \( V = 120.00 \, \text{V} \). During the heating process, the gas expands, and a heat loss of \( Q_{\text{out}} = 2.80 \, \text{kJ} \) occurs. The gas constant is \( R = 0.297 \, \text{kPa} \cdot \text{m}^3/(\text{kg} \cdot \text{K}) \), and the room temperature specific heat at constant pressure is \( c_p = 1.039 \, \text{kJ}/(\text{kg} \cdot \text{K}) \).

Calculate the mass of the gas, \( m \) (kg).

**Diagram Explanation:**

The diagram shows a schematic of a piston-cylinder device. It contains the following elements:

- A cylinder with a movable piston at the top.
- The word "Gas" indicates the contents inside the cylinder.
- A symbol representing an electric heater is shown at the bottom, indicating where heat is added to the system.

This setup illustrates the principles of thermodynamics with respect to gas behavior and heat transfer in a piston-cylinder system.

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