Chemical X, a powdered solid, is slowly and continuously fed for half an hour into a well-stirred vat of water. The solid quickly dissolves and hydroly- ses to Y, which then slowly decomposes to Z as...

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Extracted text: Chemical X, a powdered solid, is slowly and continuously fed for half an hour into a well-stirred vat of water. The solid quickly dissolves and hydroly- ses to Y, which then slowly decomposes to Z as follows Y→Z, -ry = kCy, k=1.5 hr*! The volume of liquid in the vat stays close to 3 m³ throughout this operation, and if no reaction of Y to Z occurred, the concentration of Y in the vat would be 100 mol/m³ at the end of the half-hour addition of X. (a) What is the maximum concentration of Y in the vat and at what time is this maximum reached? (b) What is the concentration of product Z in the vat after 1 hour? Problem prepared by Bhaskar Chandan (1990).