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ElectricalPower Generation
PrevNext

How much is the efficiency of geothermal plant?

A

28%

B

15%

C

42%

D

30%

Correct Answer

тЪЩя╕П TE тАв Technical 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.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб 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.

ЁЯФв Key Formulas

╬╖=WQin├Ч100\eta = \frac{W}{Q_{in}} \times 100╬╖=QinтАЛWтАЛ├Ч100 тАФ Definition of thermal efficiency

╬╖max=1тИТTLTH\eta_{max} = 1 - \frac{T_{L}}{T_{H}}╬╖maxтАЛ=1тИТTHтАЛTLтАЛтАЛ тАФ Carnot efficiency limit

тЪЩя╕П 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 ╬╖=1тИТTcoldThot\eta = 1 - \frac{T_{cold}}{T_{hot}}╬╖=1тИТThotтАЛTcoldтАЛтАЛ, where ThotT_{hot}ThotтАЛ 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.

ЁЯУМ Key Points
  • тЦ╕

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

  • тЦ╕

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

  • тЦ╕

    Modern binary cycle plants improve efficiency for lower temperature resources but remain in the 10тБ╗┬╣тБ╡% range.

тЬЕ Advantages
  • тЦ╕

    Base load power supply (constant availability)

  • тЦ╕

    Extremely low greenhouse gas emissions

  • тЦ╕

    Small land footprint compared to solar or wind farms

тЭМ Disadvantages / Limitations
  • тЦ╕

    Low thermal efficiency compared to Rankine cycle plants

  • тЦ╕

    High initial drilling and exploration costs

  • тЦ╕

    Potential for land subsidence and localized seismic activity

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Base load electricity generation

  • тЦ╕

    District heating systems

  • тЦ╕

    Industrial process heating

ЁЯУД Additional Information
  • тЦ╕

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

  • тЦ╕

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

ЁЯУК Diagram / Illustration
Thermal Efficiency Limit
Work Output (WWW)
Heat Input (QinQ_{in}QinтАЛ)
╬╖=WQinтЙИ15%\eta = \frac{W}{Q_{in}} \approx 15\%╬╖=QinтАЛWтАЛтЙИ15%
тЬЕ

B is correct тАФ 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
ЁЯТб 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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