Does Newton’s law of cooling apply to warming as well as to cooling?

Which will undergo the greater rate of cooling, a red-hot poker in a warm over or a red-hot poker in a cold room (or do both cool at the same rate)?

Newton’s law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature),

$$\frac{dT}{dt} = -k(T – T_a)$$

where T = the temperature of the body

$$(^\circ{C})$$

, t = time (min), k = the proportionality constant (per minute), and

$$T_a$$

= the ambient temperature

$$(^\circ{C})$$

Suppose that a cup of coffee originally has a temperature of

$$70^\circ{C}.$$

Use Euler’s method to compute the temperature from t = 0 to 10 min using a step size of 2 min if

$$T_a = 20^\circ{C}$$

and k = 0.019/min.

Use Newton's Law of Cooling,

$$T = C + \left( T _ { 0 } - C \right) e ^ { k t }$$

to solve the exercise. A bottle of juice initially has a temperature of

$$70^\circ F.$$

It is left to cool in a refrigerator that has a temperature of

$$45^\circ F.$$

After 10 minutes, the temperature of the juice is

$$55^\circ F.$$

Use Newton's Law of Cooling to find a model for the temperature of the juice T, after t minutes.

Which warms faster when heat is applied: iron or silver? Which has the higher specific heat capacity?

Since all objects emit energy to their surroundings, why don't the temperatures of all objects continuously decrease?

Use Newton's Law of Cooling,

$$T = C + \left( T _ { 0 } - C \right) e ^ { k t }$$

to solve the exercise. A pizza removed from the oven has a temperature of

$$450^\circ F.$$

It is left sitting in a room that has a temperature of

$$70^\circ F.$$

After 5 minutes, the temperature of the pizza is

$$300^\circ F.$$

Use Newton's Law of Cooling to find a model for the temperature of the pizza T, after t minutes.

When steam condenses to water, the surrounding temperature (1) decreases, (2) increases, (3) remains the same.

Why isn't Millie's hand burned when she holds it above the escape valve of the pressure cooker?

An uninsulated steam pipe is used to transport high-temperature steam from one building to another. The pipe is of 0.5-m diameter, has a surface temperature of $150^{\circ} \mathrm{C}$, and is exposed to ambient air at $-10^{\circ} \mathrm{C}$. The air moves in cross flow over the pipe with a velocity of 5 m/s. (a) What is the heat loss per unit length of pipe? (b) Consider the effect of insulating the pipe with a rigid urethane foam $(k=0.026 \mathrm{W} / \mathrm{m} \cdot \mathrm{K})$. Evaluate and plot the heat loss as a function of the thickness $\delta$ of the insulation layer for $0 \leq \delta \leq 50 \mathrm{mm}$.

Which will normally cool faster, a black pot of hot tea or a silvered pot of hot tea?

What is the explanation for a barefoot fire walker being able to walk safely on red-hoc wooden coals?

Is a good absorber of radiation a good emitter or a poor emitter?

When disorder in a system increases, does entropy increase or decrease?