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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower Generation
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How much is the efficiency of geothermal plant?

A

28%

B

15%

C

42%

D

30%

Correct Answer

Concept & PrincipleElectricalPower Generation
Option B

15%

Quick Summary: The thermal efficiency of a geothermal power plant is typically low, ranging between 10% and 20%, with an average around 15%. This low efficiency is primarily due to the relatively low temperature of the geothermal steam or brine compared to the high-temperature combustion gases used in fossil fuel-based power plants.

💡 Explanation

The thermal efficiency of a geothermal power plant is typically low, ranging between 10% and 20%, with an average around 15%. This low efficiency is primarily due to the relatively low temperature of the geothermal steam or brine compared to the high-temperature combustion gases used in fossil fuel-based power plants.

🔢 Key Formulas

η=WQin×100\eta = \frac{W}{Q_{in}} \times 100η=Qin​W​×100 — Definition of thermal efficiency

ηmax=1−TLTH\eta_{max} = 1 - \frac{T_{L}}{T_{H}}ηmax​=1−TH​TL​​ — Carnot efficiency limit

⚙️ Working Principle

Geothermal plants convert thermal energy from the earth into mechanical energy using steam turbines. According to the Carnot cycle, efficiency is defined as η=1−TcoldThot\eta = 1 - \frac{T_{cold}}{T_{hot}}η=1−Thot​Tcold​​, where ThotT_{hot}Thot​ is the temperature of the geothermal resource. Because geothermal reservoirs typically provide temperatures between 150°C and 300°C (significantly lower than coal or nuclear plants), the theoretical and practical efficiency limits remain low.

📌 Key Points
  • ▸

    Geothermal fluids often contain non-condensable gases (NCGs) which reduce vacuum in the condenser, further lowering efficiency.

  • ▸

    Efficiency depends heavily on the temperature of the geothermal source (Enthalpy).

  • ▸

    Modern binary cycle plants improve efficiency for lower temperature resources but remain in the 10-15% range.

✅ Advantages
  • ▸

    Base load power supply (constant availability)

  • ▸

    Extremely low greenhouse gas emissions

  • ▸

    Small land footprint compared to solar or wind farms

❌ Disadvantages / Limitations
  • ▸

    Low thermal efficiency compared to Rankine cycle plants

  • ▸

    High initial drilling and exploration costs

  • ▸

    Potential for land subsidence and localized seismic activity

🛠️ Applications / Uses
  • ▸

    Base load electricity generation

  • ▸

    District heating systems

  • ▸

    Industrial process heating

📄 Additional Information
  • ▸

    Fossil fuel power plants typically operate at 35% to 45% efficiency.

  • ▸

    The 15% value represents the standard range for high-enthalpy steam geothermal plants.

📊 Diagram / Illustration
Thermal Efficiency Limit
Work Output (WWW)
Heat Input (QinQ_{in}Qin​)
η=WQin≈15%\eta = \frac{W}{Q_{in}} \approx 15\%η=Qin​W​≈15%
✅

B is correct — Geothermal power plants typically operate at an efficiency of approximately 15% due to the low-temperature nature of the geothermal heat source.

Core Concepts Used
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Thermodynamics Carnot Cycle Geothermal Energy Conversion
💡 EXAM TIP

Always remember that efficiency in thermal plants is strictly bound by the Second Law of Thermodynamics; the lower the source temperature (as in geothermal), the lower the possible cycle efficiency.

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