Let's say a cup of coffee. if I pour twelve fluid oz of coffee in a mug. would it stay hot longer in a short/wide mug or a tall/skinny mug (if it is different at all)? Thanks!
2007-05-20 10:20:55 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Chemistry
Assuming the containers are made of the same material and conduct heat the same as air, the one with the greater surface area will radiate heat faster.
Taller and thinner and shorter and wider are relative.
short and wide so that the container resembles a pie plate will not keep the heat as well as a container 3 times taller than it is wide.
To check for surface area of a cylinder:
Surface Area = Areas of top and bottom +Area of the side
Surface Area = 2(Area of top) + (perimeter of top)* height
Surface Area = 2(pi r 2) + (2 pi r)* h
Higher surface area= radiates (loses) heat faster Surface area includes the sides and even bottom of the container too.
Optimum shape of mug to keep the heat is spherical and mugs that are roughly this shape are available all over.
2007-05-20 10:31:35 · answer #1 · answered by aka DarthDad 5 · 0⤊ 0⤋
If the materials are the same and the surface areas the same then the one that presents the least top surface to the air should have the advantage. It will also have the least heat lost to whatever it is sitting on. Tall cylinder wins. UNLESS you end up with an efficient convection current (cooling) somewhat like a chimney effect. This is why you often see parameters like "in still air" when the question is posed.
Variation on this. Silver vs. ceramic tea pot. Silver wins because of emissivity curve changes as the beverage cools. Answers are not always pat.
2007-05-20 12:04:53 · answer #2 · answered by Brian T 6 · 0⤊ 0⤋
It stays hot longer in the tall narrow mug less surface area of the hot liquid is exposed to the air so less heat can leave into the air.
2007-05-20 10:28:39 · answer #3 · answered by Anonymous · 0⤊ 0⤋
It all depends on the material of which the mug is made. If it is a good radiator, then it will lose heat faster than the surface of the coffe, and the mug with the biggest surface area of china will cool down quicker. And the opposite if the mug itself is a poor radiator of heat.
2007-05-20 10:27:41 · answer #4 · answered by Gervald F 7 · 1⤊ 0⤋
Tall Narrow mug will stay hot longer. Cooling occurs by surface area of gas exchange as long as both mugs have the same thickness and made of same material.
2007-05-20 10:24:21 · answer #5 · answered by African 3 · 0⤊ 1⤋
Tall Thin Coffee Mugs
2017-02-20 15:46:53 · answer #6 · answered by ? 4 · 0⤊ 0⤋
this is extraordinary. besides the undeniable fact that it relies upon on my temper. If i'm in a greater elegant all dressed up and clean kinda ingredient i like the long ones and if i'm bumming around and cuddling with a e book i like the fat ones. is mindless in any respect precise? =/
2017-01-10 10:56:22 · answer #7 · answered by ? 3 · 0⤊ 0⤋