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A first order reaction has a rate constant of 0.1 per minute. How long is needed for 90 per cent conversion in a batch reactor?

  • A.about 9 minutes
  • B.about 10 minutes
  • C.about 90 minutes
  • D.about 23 minutes

Answer: D

The time is the natural logarithm of ten divided by the rate constant, and the logarithm of ten is about two point three. Ninety per cent conversion always takes about three point three half lives. The relation holds only for first order.

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