In Newton's Law of cooling, $\frac { d T } { d t } = k \left( T - T _ { m } \right)$ the constant k is
A) a constant of integration evaluated from an initial condition
B) a constant of integration evaluated from another condition
C) a proportionality constant evaluated from an initial condition
D) a proportionality constant evaluated from another condition

Question

Quizplus · Accepted Answer

The constant $ k $ is a proportionality constant that is determined from experimental data or conditions other than the initial condition.

In Newton's Law of Cooling dTdt=k(T−Tm)\frac { d T } { d t } = k \left( T - T _ { m } \right)dtdT​=k(T−Tm​)

In Newton's Law of Cooling $\frac { d T } { d t } = k \left( T - T _ { m } \right)$