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Discussion

Match each reaction order with the units of its rate constant, with rate in moles per litre per second.
List I
A. Zero order
B. First order
C. Second order
D. Third order
List II
1. litres per mole per second
2. moles per litre per second
3. litres squared per mole squared per second
4. per second

  • A.A-2, B-4, C-3, D-1
  • B.A-3, B-1, C-4, D-2
  • C.A-2, B-4, C-1, D-3
  • D.A-4, B-2, C-1, D-3

Answer: C

Correct answer: A-2, B-4, C-1, D-3

The units follow from \( \mathrm{rate} = kC^{n} \): since the rate is fixed in moles per litre per second, \( k \) must carry whatever units are needed to cancel \( C^{n} \). So \( k \) has the units of rate at zero order, reciprocal seconds at first, litres per mole per second at second, and litres squared per mole squared per second at third. The pattern is that each additional order adds a factor of litres per mole.

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