following balanced chemical

reaction:
Ca2+
(aq)+ CO3
2--
(aq) ⇄CaCO3(S)
The amount of dissolved CaCO3 can be
increased on adding:
CaCO3(S)
KNO3(S)
Na2CO3(S)
CH3COOH(S)

For every action there is an opposite and equal reaction.

By adding Na2CO3 that will give you the CO3 which will push the reaction to form more CaCO3

To determine which substance can increase the amount of dissolved CaCO3 in the given balanced chemical reaction, we need to understand the principles of Le Chatelier's principle and common ion effect.

Le Chatelier's principle states that when a system at equilibrium is subjected to a stress, the system will adjust its position to relieve the stress. In the case of the given balanced chemical reaction, we can use Le Chatelier's principle to predict the effect of adding different substances.

The common ion effect is another important concept. It states that the solubility of a salt is decreased when a common ion is present in the solution. A common ion is an ion that is already present in the solution as a result of a different compound.

Now, let's analyze the effects of adding each substance to the given reaction:

1. CaCO3(S): Adding solid CaCO3 will not have any significant effect on the amount of dissolved CaCO3. It will not shift the equilibrium or influence the solubility of CaCO3.

2. KNO3(S): Adding KNO3 will not have a significant effect on the amount of dissolved CaCO3. Potassium nitrate (KNO3) does not contain any of the ions involved in the dissolution of CaCO3.

3. Na2CO3(S): Adding sodium carbonate (Na2CO3), which contains CO3 2- ions, will increase the concentration of carbonate ions in the solution. According to Le Chatelier's principle, the system will shift to the left to relieve the stress of increased carbonate ions. Consequently, more CaCO3 will dissolve.

4. CH3COOH(S): Adding acetic acid (CH3COOH) will not have a significant effect on the amount of dissolved CaCO3. Acetic acid does not contain any of the ions involved in the dissolution of CaCO3.

Therefore, the substance that can increase the amount of dissolved CaCO3 in the given balanced chemical reaction is Na2CO3(S) (sodium carbonate).