Helium is compressed through a compressor steadily. At the inlet the pressure is and the temperature is . At the exit the pressure is and the temperature is . The power input is and the heat loss rate is during this process. Neglect the kinetic and potential energy changes. Assume helium is ideal gas with a constant specific heat and its specific heat ratio , which means that enthalpy can be calculated using . Calculate the enthalpy per unit mass at the exit _________ **Helium Compression Analysis**Helium is compressed through a compressor steadily. At the inlet, the pressure is \( P_1 = 100 \, \text{kPa} \) and the temperature is \( T_1 = 300 \, \text{K} \). At the exit, the pressure is \( P_2 = 600 \, \text{kPa} \) and the temperature is \( T_2 = 390 \, \text{K} \). The system has a power input of \( \dot{W} = 5000 \, \text{kW} \) and the heat loss rate is \( \dot{Q}_{\text{out}} = 1000 \, \text{kJ/s} \) during this process. Neglect the kinetic and potential energy changes.Assumptions:- The helium behaves as an ideal gas.- Constant specific heat \( c_p = 5.1926 \, \text{kJ/kg} \cdot \text{K} \).- Specific heat ratio \( k = \frac{c_p}{c_v} = 1.667 \).Using the relation \( h = c_p \cdot T \), you are to calculate the enthalpy per unit mass at the exit.**Calculation:**Determine the enthalpy \( h_2 \) in \(\text{kJ/kg}\).\[h_2 = \underline{\hspace{3cm}} \, \text{kJ/kg}\]**Use the provided data and equations to find \( h_2 \).**

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Helium is compressed through a compressor steadily. At the inlet the pressure is and the temperature is . At the exit the pressure is and the temperature is . The power input is and the heat loss rate is during this process. Neglect the kinetic and potential energy changes. Assume helium is ideal gas with a constant specific heat and its specific heat ratio , which means that enthalpy can be calculated using . Calculate the enthalpy per unit mass at the exit _________

**Helium Compression Analysis**

Helium is compressed through a compressor steadily. At the inlet, the pressure is \( P_1 = 100 \, \text{kPa} \) and the temperature is \( T_1 = 300 \, \text{K} \). At the exit, the pressure is \( P_2 = 600 \, \text{kPa} \) and the temperature is \( T_2 = 390 \, \text{K} \).

The system has a power input of \( \dot{W} = 5000 \, \text{kW} \) and the heat loss rate is \( \dot{Q}_{\text{out}} = 1000 \, \text{kJ/s} \) during this process. Neglect the kinetic and potential energy changes.

Assumptions:
- The helium behaves as an ideal gas.
- Constant specific heat \( c_p = 5.1926 \, \text{kJ/kg} \cdot \text{K} \).
- Specific heat ratio \( k = \frac{c_p}{c_v} = 1.667 \).

Using the relation \( h = c_p \cdot T \), you are to calculate the enthalpy per unit mass at the exit.

**Calculation:**
Determine the enthalpy \( h_2 \) in \(\text{kJ/kg}\).

\[
h_2 = \underline{\hspace{3cm}} \, \text{kJ/kg}
\]

**Use the provided data and equations to find \( h_2 \).**

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