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The first order integrated rate equation is

Options

  1. Ak= x t
  2. Bk=- 2.303 t a a-x
  3. Ck= 1 t a a-x
  4. Dk= 1 t x a(a-x)

Correct answer

C. k= 1 t a a-x

Step-by-step solution

For first order, rate = d[R] d t =k[R] or d[R] [R] =k d t On integrating Eq. (i) array l d[R] [R] =k d t [R]=-k t+C array At t=0,[R]= [R₀ ] [where, R= final concentration, ie, a-x and R₀ is the initial concentration, .i e, a . ] [R₀ ]=C On putting the value of C in Eq. (ii), we get array r [R]=-k t+ [R₀ ] -k t= [R]- [R₀ ] k t= [R₀ ]- [R] array or aligned k &= 1 t [R₀ ] [R] or k&= 1 t a a-x aligned

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