The rate of cooling of a body (Figure) can be expressed as

Where T = temperature of the body (°C). T_α = temperature of the surrounding medium (°C), and k = a proportionality constant (per minute) Thus, this equation (called Newton’s law of cooling) specifies that the rate of cooling is proportional to the difference in the temperatures of the body and of the surrounding medium. If a metal ball heated to 80°C is dropped into water that is held constant at T_α = 20°C, the temperature of the bell changes, as in

Utilize numerical differentiation to determine dT/dt at each value of time. Plot dT/dt versus T – T_α and employ linear regression to evaluate k.

Transcribed Image Text:

IT ーと(T -Ta)