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Question: Which one of the following reactions is an example of auto-catalysis? (A) \(2{\text{As}}{{\text{H}...

Which one of the following reactions is an example of auto-catalysis?
(A) 2AsH3(s)2As(s)+3H2(g)2{\text{As}}{{\text{H}}_{\text{3}}}\left( {\text{s}} \right) \to 2{\text{As}}\left( {\text{s}} \right) + 3{{\text{H}}_{\text{2}}}\left( {\text{g}} \right)
(B) N2(g)+3H2(g)Fe(g)2NH3(g){{\text{N}}_{\text{2}}}\left( {\text{g}} \right) + 3{{\text{H}}_2}\left( {\text{g}} \right)\xrightarrow{{{\text{Fe}}\left( {\text{g}} \right)}}2{\text{N}}{{\text{H}}_{\text{3}}}\left( {\text{g}} \right)
(C) 2SO2(g)+O2(g)NO(g)2SO3(g){\text{2S}}{{\text{O}}_{\text{2}}}\left( {\text{g}} \right) + {{\text{O}}_2}\left( {\text{g}} \right)\xrightarrow{{{\text{NO}}\left( {\text{g}} \right)}}2{\text{S}}{{\text{O}}_{\text{3}}}\left( {\text{g}} \right)
(D) C12H22O11(l)+H2O(l)H+(l)C6H12O6(l)+C6H12O6(l){{\text{C}}_{{\text{12}}}}{{\text{H}}_{{\text{22}}}}{{\text{O}}_{{\text{11}}}}\left( {\text{l}} \right) + {{\text{H}}_{\text{2}}}{\text{O}}\left( {\text{l}} \right)\xrightarrow{{{{\text{H}}^ + }\left( {\text{l}} \right)}}{{\text{C}}_{\text{6}}}{{\text{H}}_{{\text{12}}}}{{\text{O}}_{\text{6}}}\left( {\text{l}} \right) + {{\text{C}}_{\text{6}}}{{\text{H}}_{{\text{12}}}}{{\text{O}}_{\text{6}}}\left( {\text{l}} \right)

Explanation

Solution

- In autocatalytic reactions, no external catalyst is required to speed up a chemical reaction.
- Atleast one of the products is a reactant in autocatalysis.

Complete step by step answer:
A chemical reaction is said to be undergoing autocatalysis if one of the products of the reaction acts as a catalyst for the same or for a coupled reaction.
Collectively autocatalytic reactions are a set of chemical reactions if a number of those reactions yield catalysts for other reactions that the entire set of chemical reactions is self sustaining given an input of energy.
Let us consider the first reaction 2AsH3(s)2As(s)+3H2(g)2{\text{As}}{{\text{H}}_{\text{3}}}\left( {\text{s}} \right) \to 2{\text{As}}\left( {\text{s}} \right) + 3{{\text{H}}_{\text{2}}}\left( {\text{g}} \right) .
It is the thermal decomposition reaction of arsine AsH3{\text{As}}{{\text{H}}_{\text{3}}} to give free arsenic and hydrogen. Here, the free arsenic produced acts as a catalyst for the reaction and hence this reaction is an example of autocatalysis. So, option A is correct.
Now, let us check the next reaction N2(g)+3H2(g)Fe(g)2NH3(g){{\text{N}}_{\text{2}}}\left( {\text{g}} \right) + 3{{\text{H}}_2}\left( {\text{g}} \right)\xrightarrow{{{\text{Fe}}\left( {\text{g}} \right)}}2{\text{N}}{{\text{H}}_{\text{3}}}\left( {\text{g}} \right) .
It is the Haber’s process for the manufacturing of ammonia on a commercial scale. It is an exothermic reaction and the favourable conditions for this reaction are low temperature, high pressure and presence of a catalyst. The catalyst used is iron oxide. This means this is not an autocatalytic reaction. So option B is wrong.
Now, let us check the next reaction 2SO2(g)+O2(g)NO(g)2SO3(g){\text{2S}}{{\text{O}}_{\text{2}}}\left( {\text{g}} \right) + {{\text{O}}_2}\left( {\text{g}} \right)\xrightarrow{{{\text{NO}}\left( {\text{g}} \right)}}2{\text{S}}{{\text{O}}_{\text{3}}}\left( {\text{g}} \right) .
Here, it can be seen that the catalyst used is nitric oxide which is not a product of the reaction and so option C is wrong.
Lastly, consider the reaction C12H22O11(l)+H2O(l)H+(l)C6H12O6(l)+C6H12O6(l){{\text{C}}_{{\text{12}}}}{{\text{H}}_{{\text{22}}}}{{\text{O}}_{{\text{11}}}}\left( {\text{l}} \right) + {{\text{H}}_{\text{2}}}{\text{O}}\left( {\text{l}} \right)\xrightarrow{{{{\text{H}}^ + }\left( {\text{l}} \right)}}{{\text{C}}_{\text{6}}}{{\text{H}}_{{\text{12}}}}{{\text{O}}_{\text{6}}}\left( {\text{l}} \right) + {{\text{C}}_{\text{6}}}{{\text{H}}_{{\text{12}}}}{{\text{O}}_{\text{6}}}\left( {\text{l}} \right) .
It is a hydrolysis reaction of sucrose to give glucose and fructose. The catalyst used is either an acid or an enzyme and so option D is also wrong.

Note:
A biological example of an autocatalytic reaction is glycolysis.
It is the degradation of one glucose molecule with the production of 2 molecules of ATP.
The reaction is:
Glucose + 2ADP + 2Pi + 2NAD2(pyruvate) + 2ATP + 2NADH{\text{Glucose + 2ADP + 2}}{{\text{P}}_{\text{i}}}{\text{ + 2NAD}} \to {\text{2}}\left( {{\text{pyruvate}}} \right){\text{ + 2ATP + 2NADH}}
A portion of this process is auto-catalyzed by a kinase enzyme PFK.
The process of glycolysis is of great importance to the energy of living cells.