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Chemistry Question on Chemical Kinetics

Formula for half life of a zero order reaction is:

A

C0K\frac{C_{0}}{K}

B

C02K\frac{C_{0}}{2K}

C

2C0K\frac{2C_{0}}{K}

D

3C02K\frac{3C_{0}}{2K}

Answer

C02K\frac{C_{0}}{2K}

Explanation

Solution

For a zero order reaction,
k=[R]0−[R]tk = \frac{\left[R\right]_{0}-\left[R\right]}{t}
At t = t1/2,[R]=12 [R]∘t_{1/2},\quad\left[R\right]=\frac{1}{2}\,\left[R\right]_{{\circ}}
k=[R]0−1/2[R]0t1/2k=\frac{\left[R\right]_{0}-1/2\left[R\right]_{0}}{t_{1/2}}
t1/2=[R]02kt_{1/2}=\frac{\left[R\right]_{0}}{2k}
t1/2=C02Kt_{1/2}=\frac{C_{0}}{2K}