# Temperature gradients in boiled/baked eggs?

In my Science of Cooking class, we were asked to do a lab involving hard-cooked eggs using two forms of convection heat, dry (in the oven at 450 degrees) and wet (boiling water). For both the boiling water and oven, we were told to use three eggs. Take 1 egg out of the water (and oven) after 5 minutes, then again at 10, then again at 15.. shocking each in an ice water bath.

We found that, as a rule, the boiling water was a more efficient way of cooking the egg.

One of the questions in the assignment is: "Compare the temperature gradients you observed in the two methods. Which of the methods produces the most pronounced gradient?"

Can someone please explain this question to me?

• With a steeper temperature gradient the egg would cook more unevenly, e.g. the outer is more deeper cooked than the core. I did remember egg white cooks at higher temperature than yolk so this might be the result you want. Theoretically you need stronger heat to heat the outer before heat penetrates to the center, dry heat doesn't do it well because air can not bring heat to the egg quickly enough. Water and steam both can. Steam might be a bad idea since the egg might explode. Oct 23, 2017 at 22:33
• It would probably help inform answers if you described what you meant by "better". I took a stab at it, but I had to make a couple small guesses based on my own experience boiling eggs and baking in-shell without convection, plus some quick searching about baking in-shell with convection.
– Cascabel
Oct 24, 2017 at 0:29
• By "efficient" do you just mean done after a shorter time? (Also, if you cut it in half after shocking at multiple time intervals, I imagine you got a very clear indication of temperature gradient based on doneness inside as a function of time!)
– Cascabel
Oct 24, 2017 at 5:45

Presumably the question is referring to temperature gradients within the egg, i.e. the difference in temperature between the outside and inside. That is actually pretty relevant cooking-wise, because it tells you how the yolk and white will be cooked.

tl;dr I'd expect to see a steeper gradient from boiling than from the convection oven, but the actual results from your lab will let you tell much more confidently.

This depends on how fast the heat transfer is, which is made most obvious by the temperature the shell is held at. You can also see it from total cooking time. If one method takes longer, then it's transferring heat more slowly, and thus you can expect a flatter temperature gradient inside the egg (there's time for the heat to propagate inward), while the faster one will have a steeper gradient (the outside heats much faster than the heat propagates in).

With boiling, there's really only one possibility: the water holds the shell at very close to 100C. You have very efficient heat transfer, the water is well-mixed, and it has a very high heat capacity, so it can easily do this. Hard-boiling eggs generally takes less than ten minutes.

With an oven, it's less clear. Without any convection, the shell will actually remain well below the oven's air temperature for quite a long time, because the air can't transfer heat rapidly enough. This is likely true even with a realistic convection oven: if you put the egg in, wait a minute, and then check the shell temperature, I highly doubt it will be at the oven air temperature. Baking without convection in the 350F ballpark generally takes around half an hour, and I believe convection only reduces that to 20-25 minutes. So I'm pretty sure the oven has less efficient heat transfer, longer cooking time, and flatter gradient, but if you had a powerful, hot enough oven with really good convection, that could flip around.

So overall, it's hard to say for sure just from your description. If you actually did an experiment, though, you can tell from the results. Egg whites are soft but solid at 155F, and totally set at 180F, while egg yolks are firm at 158F and dry/crumbly at 180F. A steeper temperature gradient within the egg means that the yolk will be less cooked compared to the white, while a flatter temperature gradient means that they'll be cooked more similarly.

If you noticed differences in cooking time, or differences in yolk vs white doneness, there you are.

All this said, dry vs wet heat does have other significant effects. Dry heat will dry out the membrane and even some of the white underneath. Given enough time, the white will shrink away from the shell and end up noticeably drier and tougher, and it can even brown. So the differences you notice in the resulting egg may not be only about temperature gradient.

• Heat transfer is from hot to cold. That is the 2nd law of thermodynamics. If the shell is at 100C and the water is at 100C there will be no heat transfer. Not going to argue the point with you. Oct 24, 2017 at 0:33
• @Paparazzi Amended to "very close to 100C." I'm aware of the laws of thermodynamics, thank you. I'd be careful with theoretical arguments like that, though: in a lot of real-world situations you end up with very cliff-y gradients, with near-constant temperature up to an interface, and then a steep drop from there. So the water right at the outside of the shell is at 100C, and the very outside of the shell is at very close to 100C, and it drops from there. If you were actually going to try to solve the heat equation here, your boundary condition would be that the exterior of the shell is 100C.
– Cascabel
Oct 24, 2017 at 0:43
– Cascabel
Oct 24, 2017 at 1:01
• Serious Eats has some great articles, including this one on the perfect to peel hard boiled egg which has a lot of good pictures in it that show some of what Jefromi discusses here. Oct 24, 2017 at 7:21

A temperature gradient is the variation of temperature along some distance. Maybe I took one too many semesters of thermodynamics in college, but on first blush, this is a tricky question. There are 3 big pieces to the puzzle to consider. Heat transfer between the egg and the “medium” and the gradients across the different regions.

The next thing to consider is the heat transfer between the medium and the surface of the egg. Since air is less dense than water, there are fewer atoms bouncing around in a given volume. This means there are fewer collisions between the medium and the egg shell...meaning fewer opportunities to transport energy from the medium to the eggshell.

Once heat does enter the eggshell, it will conduct through the egg the same in both cases.

What does this all mean? Since the heat transfer in air is less efficient than in water, the air has to be much hotter than water in order to heat the middle to a certain temperature in the same amount of time. However, since the air is hotter, the outside shell will be much higher than 100 degrees when the middle is done, meaning there is a larger temperature gradient.

The tricky part is, without knowing what the oven temperature is I can’t say for sure that the gradient is higher.

• Don't agree on skin temp in oven will be higher for same core and other points. Oct 24, 2017 at 0:26
• I’ll have to pull out my text and reread my dynamic heat transfer. My intuition is that the hot water will almost immediately bring the skin up to 100 and start heat flux into the center. In the oven, the skin will more slowly increase, and will get over 100 by the time the middle hits “done”. Oct 24, 2017 at 0:39
• No there will be a fairly linear temperature gradient from center to surface. Heat is sucked off. If the surface is the 100 then there would be no heat transfer - 2nd law of thermodynamics. Oct 24, 2017 at 0:50
• This got discussed on my answer too, but basically, "shell is 100C" is a good-enough approximation. The water just outside the shell is 100C, and the exterior heats up to very close to 100C very quickly. Even the approximate linear gradient Paparazzi suggested makes that clear; an egg shell is on the order of 1/100 of the thickness of the egg. (And of course, in reality, it's not linear: heat transfer takes time, so the outside heats up faster while the interior lags behind.) Yeah, technically it's below 100C, but.. not a terribly important distinction.
– Cascabel
Oct 24, 2017 at 1:23
• Oh, and for the oven thing, the other thing you have to worry about is that the egg has water in it, so it's not going to want to go above 100C too easily, even if the shell does.
– Cascabel
Oct 24, 2017 at 1:47

I will answer from a chemical engineering perspective.

The oven is also a good deal of radiant heat transfer.

In a moving liquid yes it is convection but you can model it as conduction.

Once you get a surface temperature on the egg how that got there makes not difference. The inside of the egg is not aware of how the shell was heated and thermal gradient will be the same. Believe it or not the slope of the thermal gradient remains very constant as the egg is cooked.

If you start with the egg in cold water versus waiting for the water to boil is a big difference.

Start with a cold oven would be a very bad plan. A hot oven will take a little bit of time to get the skin warm.

The water in the water is the main difference. It will hydrate between the shell and membrane for a more even heat transfer. Oven will dry out the egg and create pockets.