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Moderator Temperature Coefficient Calculator engineering
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Moderator Temperature Coefficient Calculator

Reactor thermal hydraulics & safety: Calculate the Moderator Temperature Coefficient ($\alpha_M = d\rho / dT_{\text{mod}}$ in $\text{pcm/}^\circ\text{C}$), water expansion density feedback, and soluble boron chemical shim concentration effects.

Primary Coolant & Soluble Boron

Standard PWR operating T_avg: ~295–310 °C
Beginning of cycle: 1200–1800 ppm; EOC: ~10 ppm

Core Cycle Stage & Operating Pressure

Standard PWR pressure: 15.5 MPa (2250 psia)

MTC Reactivity Coefficient Output

Moderator Temp Coefficient (MTC):
--
pcm / °C (dρ / dT)
Water Density Derivative dρ_w/dT:
--
kg / (m³·°C) thermal expansion
Boron MTC Positive Offset:
--
pcm / °C shifted toward positive
Moderator Water Density:
--
kg / m³ at operating pressure
Base Clean Water MTC (Zero Boron): --
Critical Boron Concentration for Zero MTC: --
Reactivity Insertion for +5 °C Excursion: --
Technical Specifications Compliance: --

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