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.Sniperfx20 said: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?
The purpose of predicting grain diameter at 650°C after 199 minutes is to understand how grain size changes over time and at different temperatures. This information can be used to improve industrial processes, such as metal casting, by controlling grain size for desired properties.
Grain diameter at 650°C after 199 minutes can be predicted using mathematical models and experimental data. These models take into account factors such as temperature, time, and material composition to estimate the change in grain size over time.
The accuracy of the prediction can be affected by various factors, such as the quality and availability of data, the complexity of the material system, and the assumptions made in the mathematical models. Other factors, such as experimental conditions and sample preparation techniques, can also influence the accuracy of the prediction.
The predicted grain diameter can be validated by comparing it to experimental results. This involves conducting experiments at the predicted conditions and measuring the actual grain diameter. If the predicted and experimental results are in close agreement, it can be considered a validation of the prediction.
Yes, the prediction of grain diameter at 650°C after 199 minutes can be used for other materials as long as the relevant data and parameters are available and applicable to the material system. However, it is important to note that the accuracy of the prediction may vary for different materials and may require further validation.