<p>It would be a dream if UIUC engineering has 70% admission rate (or any engineering schools within the top 10). The average admission GPA is near 3.9. Mid 50 ACT is 31-34 according to the latest info. Although the ChemE in UIUC is not primarily in the engineering school, it is at the same competitive level as other engineering program. Note that you apply to a specific major at UIUC. Again, the data from the site you found is for the whole UIUC, not engineering program. It just listed the schools under engineering.
The admission stat for Purdue is likely to go up this year as they joined CommonApp and will attract more oos students to apply.</p>