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Tracking a Reagent Returned in Step Two 4 questions

Tracking a Reagent Returned in Step Two

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A process model uses U and V to form an intermediate W. Each W contains two U units and one V unit. The second step converts each W into one Z unit containing both U units and returns the V unit unchanged. Returned V can be used again. The process has no losses or other changes.

2 U + V → W

W → Z + V

Quantity at the startCount (model units)
U12
V3

Question 1

How many W units can form in the first pass before any V is returned?

  1. Three
  2. Six
  3. Nine
  4. Twelve

Question 2

Find how many U units remain and how many V units are available after the first W units complete the second step.

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Question 3

A student says the display can produce no more than three Z units from the starting amounts. Use the two reactions to determine the maximum number of Z units.

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A repeat starts with the same 12 U units but only two V units. It runs each pass to the limit and returns all available V before the next pass.

Question 4

Find how many complete passes are needed to turn all the U into Z and how much V remains when finished.

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