Since there is a decrease in entropy owing to the solid product hence a large negative change in entropy is obtained.
The term entropy is the degree of disorder of a system. This question is incomplete but I will try to approach it in a general way. The equation of the reaction is; 2Mg(s) + O2(g)→2MgO(s).
We can see that in the reaction, the product of the process is a solid. Since a solid is rigidly arranged hence the entropy is largely decreased and a large negative change in entropy is obtained.
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