) A metal component is subjected to heat-treatment called normalisation. The component is eated to a temperature T, (which is above the critical phase transformation temperatures) nd cooled in air. The elementary change dT(t) of temperature T(t) of a heated component s determined from the heath energy balance equation cmdT(t)=-hA(T(1)– Tuir)dt vhere cmdT(t) is the energy which is lost due to cooling; hA(T(t)– Tuir )dt is the total heat lux from the component to the air during an infinitesimally small time interval dt. The onstant c [J/(kg K)] is the specific heath capacity, m is the mass of the component in kg, h W/(m² K)] is the heat transfer coefficient and A is the surface area in m?. Derive an eguation which gives the temperature T7) as a function of the cooling time t.

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