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The initial concentration of reactant $(A)$ is $2 mol dm ^{-3}$ for a zero order reaction $A \longrightarrow B$ The rate constant $( k )$ is related to its half-life $\left(t_{1 / 2}\right)$ by the equation:

• A
  $k =\left( t _{1 / 2}\right)^0$
• B
  $k=\sqrt{t_{1 / 2}}$
• ✓
  $k =\left( t _{1 / 2}\right)^{-1}$
• D
  $k =\left( t _{1 / 2}\right)^{-2}$