To determine in which processes entropy increases, we need to understand how entropy behaves in different scenarios.$\\$Entropy, denoted as $S,$ is a measure of the disorder or randomness in a system. Generally, entropy increases when:$\\$• A substance changes from a more ordered state to a less ordered state (e.g., solid to liquid, liquid to gas).$\\$• The number of gas molecules increases in a chemical reaction.$\\$Let's analyze each option:$\\$A. A liquid evaporates to vapour.$\\$• When a liquid evaporates, it changes from a liquid state to a gaseous state.$\\$• The gaseous state is more disordered than the liquid state, so entropy increases.$\\$B. Temperature of a crystalline solid lowered from 130 K to 0 K.$\\$• Lowering the temperature of a crystalline solid generally decreases its entropy, as the molecules become more ordered.$\\$• Therefore, entropy decreases in this process.$\\$C. $2$ NaHCO$_3(s) \rightarrow$ Na$_2$CO$_3(s) +$ CO$_2(g) +$ H$_2$O(g)$\\$• In this reaction, solid sodium bicarbonate decomposes to form a solid, carbon dioxide gas, and water vapor.$\\$• The production of gases ($$CO$_2$ and $$H$_2$O$)$ increases the disorder, hence increasing entropy.$\\$D. $$ Cl$_2(g) \rightarrow 2$ Cl(g)$\\$• The dissociation of $$Cl$_2$ into two $$Cl$$ atoms increases the number of gas particles.$\\$• This increase in the number of particles results in increased disorder, thus increasing entropy.$\\$Based on the analysis, entropy increases in processes A, C, and D.$\\$Therefore, the correct option is 1: A, C, and D.