Chemical X, a powdered solid, is slowly and continuously fed for half an hour into a well

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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 hydrolyses to Y, which then slowly decomposes to Z as followsYZ, -rykCy, 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?

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