A first order reaction takes 10 minutes for 25% decomposition. Calculate t1/2 for the reaction.
[Given : log 2 =0.3010,log 3 = 0.4771, log 4 = 0.6021]
Given:
Time (t) = 10 minutes
For a first order reaction
= ![]()
Also,
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Where Ro = initial concentration and R is remaining concentration at time ‘t’
Let initial concentration of 100 mol/L
So, ATQ,
K= ![]()
= 0.2303 ![]()
= 0.2303 × (0.6021-0.4771)
=0.029
= ![]()
= ![]()
= 23.89 minutes approximately.
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