For a certain reaction of order 'n', the time for half change, t_1/2, is given by t_1/2 = [2 - β(2)] β Chemical Kinetics Chemistry Question
Question
For a certain reaction of order 'n', the time for half change, t_1/2, is given by t_1/2 = [2 - β(2)]/k Γ C_0^(1/2), where k is the rate constant and C_0 is the initial concentration. The value of n is
Answer: D
π‘ Solution & Explanation
The given expression for half-life is t_1/2 = (2 - β(2))/k Γ C_0^(1/2), which means t_1/2 β C_0^(1/2). For a general n-th order reaction, t_1/2 β C_0^(1-n). Comparing the powers of C_0: 1-n = 0.5 => n = 0.5. Thus, the order of the reaction is 0.5.
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