Which differential equation best models the temperature (in °C) of a cup of coffee…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Which differential equation best models the temperature

T(t)

(in °C) of a cup of coffee cooling in a room held at a constant

22^{\circ}\text{C}

? (a)

k\,(T-22)

(b)

-k\,T

(c)

-k\,(T-22)

(d)

-k\,(T-22)^2