99 Percentile Qs Bank for JEE MainChemistryChemical Kinetics
Which of the following equations represents integrated rate law for zero order reaction?
Options
- Ak = [ A ]_ t -[ A ]₀ t
- Bk = 1 t ₁₀ [ A ]₀ [ ~A ]_ t
- Ck = [ A ]₀-[ A ]_ t t
- Dk = t 2.303 ₁₀ [ A ]₀ [ ~A ]_ t
Correct answer
C. k = [ A ]₀-[ A ]_ t t
Step-by-step solution
Let us consider a zero order reaction, aligned & - d [ A ] dt = k [ A ]^0 & - d [ A ] dt = k [ A ]^0= k & - d [ A ]= kdt & -[ A ]_ t = kt + c & at t =0 [ ~A ]_ t =[ A ]₀ & -[ A ]₀= k 0+ C & C =-[ A ]₀ aligned On substituting the value of C aligned & -[ A ]_ t = kt -[ A ]₀ & [ ~A ]_ t =[ A ]₀- kt & y = C - mx & [ A ]₀-[ A ]_ t = kt & k = [ A ]₀-[ A ]_ t t aligned