2 grams of  $Ba{\left(OH\right)}_2$  is mixed with 1 gram of  solid $N{H}_{4}Cl$ . The mixture is stirred with a glass rod. If in the same activity,  HCl acid is added in place of $N{H}_{4}Cl$  and the mixture is stirred with a glass rod, then which of the following statement(s) is/are correct about this activity?

I. In the first case, the tube will be hot to the touch.

II. In the second case, the tube will be hot to the touch.

III. When HCl is added in place of $N{H}_{4}Cl$ , the reaction is exothermic.

IV. When $N{H}_{4}Cl$  is added to $Ba{\left(OH\right)}_2$ , the reaction is endothermic.