**Adiabatic Turbine Gas Expansion**- **Initial Conditions**: - Inlet pressure: 100 bar - Inlet temperature: 600 K- **Outlet Conditions**: - Outlet pressure: 20 bar - Outlet temperature: 445 K**Task**: Calculate the work produced by the turbine in J/mol.**Data for the Specific Gas**:- **Ideal Gas Assumption**: - Heat capacity (\( c_p \)) is expressed as \( c_p = 30 + 0.02T \) - \( c_p \) units: J/(mol·K) - \( T \) is in Kelvin (K)- **Real Gas Equation of State**: \[ P(v - b) = RT + \frac{aP^2}{T} \] - Constants: - \( a = 0.001 \, \frac{\mathrm{m^3 \cdot K}}{\mathrm{bar \cdot mol}} \) - \( b = 8 \times 10^{-5} \, \frac{\mathrm{m^3}}{\mathrm{mol}} \)In this scenario, understanding how to apply both the ideal gas law and real gas modifications are crucial to accurately determining thermodynamic work in real-world applications.

Answered: Image /qna-images/answer/969cb997-42e2-41c2-9a52-d4658897a401.jpgWritre the expression for workdone by the turbine.Therefore, the workdone due to turbine is -8576.25 J/mol.

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Mechanical Engineering

Considering gas expansion through an adiabatic turbine, the inlet stream flows in at 100 bar and 600 K, while the outlet is at 20 bar and 445 K. Calculate the work produced by the turbine in J/mol. The following data are available for this specific gas. If ideal gas, the heat capacity for this gas is cp = 30+ 0.02 T, where cp is in J/(mol K) and T is in K. For real gas, the equation of state is P(v - b) = RT + ap² T' where a = 0.001 m³. K bar mol and b 8 x 10-5 = m³ mol

Considering gas expansion through an adiabatic turbine, the inlet stream flows in at 100 bar and 600 K, while the outlet is at 20 bar and 445 K. Calculate the work produced by the turbine in J/mol. The following data are available for this specific gas. If ideal gas, the heat capacity for this gas is cp = 30+ 0.02 T, where cp is in J/(mol K) and T is in K. For real gas, the equation of state is P(v - b) = RT + ap² T' where a = 0.001 m³. K bar mol and b 8 x 10-5 = m³ mol

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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Question

**Adiabatic Turbine Gas Expansion**

- **Initial Conditions**:
- Inlet pressure: 100 bar
- Inlet temperature: 600 K
- **Outlet Conditions**:
- Outlet pressure: 20 bar
- Outlet temperature: 445 K

**Task**: Calculate the work produced by the turbine in J/mol.

**Data for the Specific Gas**:
- **Ideal Gas Assumption**:
- Heat capacity (\( c_p \)) is expressed as \( c_p = 30 + 0.02T \)
- \( c_p \) units: J/(mol·K)
- \( T \) is in Kelvin (K)

- **Real Gas Equation of State**:
\[
P(v - b) = RT + \frac{aP^2}{T}
\]
- Constants:
- \( a = 0.001 \, \frac{\mathrm{m^3 \cdot K}}{\mathrm{bar \cdot mol}} \)
- \( b = 8 \times 10^{-5} \, \frac{\mathrm{m^3}}{\mathrm{mol}} \)

In this scenario, understanding how to apply both the ideal gas law and real gas modifications are crucial to accurately determining thermodynamic work in real-world applications.

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