The instantaneous rate of disappearance of MnO ₄⁻ ion in the following reaction is 2.28 10⁻³ M / s . 2 MnO ₄⁻+10 I ⁻+16 H ⁺ 2 Mn ²⁺+5 I ₂ +8 H ₂ O The rate of appearance of I ₂ is (x) 10⁻³ M / s . The value of x is [Nearest integer]

Step-by-step solution

aligned Rate of disappearance & = -d [ MnO ₄⁻ ] d t & =2.28 10⁻³ M / s aligned From the reaction, aligned & - 1 2 d [ MnO ₄⁻ ] d t = 1 2 [2.28 10⁻³ ] ...(i) & - 1 2 d [ MnO ₄⁻ ] d t = 1 5 d I₂ d t & - 5 2 d [ MnO ₄⁻ ] d t = d I₂ d t ...(ii) aligned Substituting the value of Eq. (i) in (ii) aligned & + 5 2 2.28 10⁻³= d I₂ d t & =5.7 10⁻³ M / s & Nearest integer value =6 10⁻³ M / s aligned