Difficulty: Easy
Correct Answer: 32
Explanation:
Introduction / Context:
Light-water reactors (LWRs) such as BWRs and PWRs produce thermal energy in the core and convert a fraction of that heat into electricity through a Rankine steam cycle. Net efficiency accounts for all auxiliary loads and realistic turbine-condenser temperatures.
Given Data / Assumptions:
Concept / Approach:
Because LWR core outlet temperatures are modest versus modern fossil supercritical plants, the achievable Carnot fraction is lower, leading to net plant efficiencies around the low-30% range. Typical values cluster around 30–35% depending on site cooling temperature, turbine design, and plant age.
Step-by-Step Solution:
1) Recognise Rankine limitations with saturated or slightly superheated steam at moderate pressure/temperature.2) Account for auxiliary loads (pumps, fans, control/cleanup systems) to move from gross to net efficiency.3) The representative textbook value is about 32%.
Verification / Alternative check:
Thermodynamic models with typical PWR primary outlet ~315–325 C and BWR steam conditions yield net electrical efficiencies ≈ 0.30–0.33 under standard cooling.
Why Other Options Are Wrong:
52% and 72% are characteristic of advanced combined cycles or idealised models, not LWR Rankine plants.88% is physically impossible for a heat engine with realistic temperature limits.
Common Pitfalls:
Confusing thermal efficiency (boiler/turbine) with capacity factor; ignoring seasonal condenser temperature effects that swing a few percentage points.
Final Answer:
32
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