 Solution

ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2017/s25/3/2/a/solution

Temperature is continuous through an instantaneous carbon injection. With

T (0) = 0

and

C (0^{+}) = 1

\dot{T} (0^{+}) = b_{0}

. Its initial slope is finite; the emission pulse makes the carbon burden jump but does not give this first-order thermal model an instantaneous temperature jump.

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