The measure of the randomness of the system is the change in the entropy. The mixing of two gases and decomposition of the solid will increase the entropy.
Entropy is the disorderliness and the randomness of the system when the thermal energy is not present in a sufficient amount to initiate the reaction. In system A, when two gases are mixed then the entropy increases as the number of gaseous molecules increases.
In system B, when a solid powder gets decomposed to form a solid product and a gaseous product the entropy increases as along the solid particles the gas is also produced.
Therefore, in both the systems the entropy increases.
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