JEE MAIN - Chemistry (2009 - No. 18)
The half life period of a first order chemical reaction is 6.93 minutes. The time required for the
completion of 99% of the chemical reaction will be (log 2=0.301) :
230.3 minutes
23.03 minutes
46.06 minutes
460.6 minutes
Explanation
For first order reaction
$$k = {{2.303} \over t}\log {{100} \over {100 - 99}}$$
$${{0.693} \over {6.93}} = {{2.303} \over t}\log {{100} \over 1}$$
$${{0.693} \over {6.93}} = {{2.303 \times 2} \over t}$$
$$ \Rightarrow t = 46.06\min $$
$$k = {{2.303} \over t}\log {{100} \over {100 - 99}}$$
$${{0.693} \over {6.93}} = {{2.303} \over t}\log {{100} \over 1}$$
$${{0.693} \over {6.93}} = {{2.303 \times 2} \over t}$$
$$ \Rightarrow t = 46.06\min $$
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