Predict Grain Diameter at 650°C After 199 min

[Sniperfx20]

The average grain diameter for a metal alloy was measured as a function of time at 650°C. The results are tabulated below:

Time Grain diameter
(min) (mm)
30 3.9 x 10-2
90 6.6 x 10-2

Predict what the grain diameter would be (in mm) after 199 min at the same temperature if n=2.

any ideA?

 

[Mapes]

Hi Sniperfx20, welcome to PF. Can you tell us what n is? It would also be helpful if you told us any equations that you've been given along with showing your attempt at the problem.

 

[Astronuc]

The average grain diameter for a metal alloy was measured as a function of time at 650°C. The results are tabulated below:

Time Grain diameter
(min) (mm)
30 3.9 x 10-2
90 6.6 x 10-2

Predict what the grain diameter would be (in mm) after 199 min at the same temperature if n=2.

any ideA?

Looks like a grain growth problem. One has two sizes and two times, and one is trying to use a function. Is 'n' an exponent to a growth or diffusion equation? If so, then n=2 is a quadratic function.