Question

Suppose you have a water tank and the water in it is being warmed at a constant rate. Additionally, suppose it takes the water a certain amount of time to reach a certain temperature. How would you go about modeling the relationship in between the time it takes the water to reach a certain temperature and its volume?

In other words, how is the water volume proportional to the time it takes for it to reach a certain temperature whilst it's being warmed at a constant rate?

Answer 1

the amount of time it takes to heat up a given amount of water is directly porportional to the volume

Answer 2

Is it a linear proportion?

Answer 3

V = h*t perhaps?

i dont know about the terminology

Answer 4

newton has a heat equation i believe :)

Answer 5

I thought perhaps the heat equation played a role in this case:
\[\frac{∂u}{∂t}-\alpha(\frac{∂^2u}{∂x^2}+\frac{∂^2u}{∂y^2}+\frac{∂^2u}{∂z^2})=0\]Maybe I'm just making this way more complicated than it should!

Answer 6

amistre did u read estudier's questions??

Answer 7

ive read some of them, but not all of them :)

Answer 8

did u read
"Explain why moderators are an endangered species"

Answer 9

Lol

Answer 10

that one? no :)