MHT CET202124 Sep 2021Evening ShiftChemistryChemical KineticsActual
Half-life and rate constant for first order reaction are related by equation,
Options
- At_ 1 / 2 = k 0.693
- Bk = [ A ]₀-[ A ]_ t t _ 1 / 2
- Ct _ 1 / 2 = 0.693 k
- Dt _ 1 / 2 = [ A ]_ t -[ A ]₀ k
Correct answer
C. t _ 1 / 2 = 0.693 k
Step-by-step solution
For first order reaction, t = 2.303 k a ₀ a ₀- x At half-life, x=a₀ / 2 aligned & t = 2.303 k a ₀ a ₀- a ₀ 2 & t _ 1 / 2 = 2.303 k 2= 2.303 0.3010 k & t _ 1 / 2 = 0.693 k aligned