What is the equation used to derive the coolant mass flow rate per pin in a nuclear reactor?

The correct equation to determine the coolant mass flow rate per pin in a nuclear reactor is expressed as mdot c_p = q / [T_co - T_ci].

This equation is based on the conservation of energy and describes how heat transfer occurs in the reactor coolant system.

In this context, "mdot" represents the mass flow rate of the coolant, c_p is the specific heat capacity of the coolant, "q" is the heat generated by the fuel per pin, "T_co" is the temperature of the coolant at the outlet, and "T_ci" is the temperature of the coolant at the inlet.

The equation essentially calculates how much coolant is needed to absorb the heat generated at the pin while maintaining the temperature difference between the inlet and outlet. The larger the difference in temperature (T_co - T_ci), the more efficiently the coolant can transport the heat away from the fuel. Therefore, by rearranging the equation to solve for the mass flow rate of the coolant, it becomes intuitively clear how the thermal efficiency of the system is tied to the temperature change experienced by the coolant.

Understanding this formula is crucial for the design and operation of thermal systems in nuclear reactors, ensuring that adequate cooling is provided to maintain safe