Dilute $\text{NaOH}$ solution and solid sodium carbonate:

Sodium hydroxide ($\text{NaOH}$) is a strong base. Sodium carbonate ($\text{Na}_2\text{CO}_3$) is a salt formed by the neutralization of a strong base ($\text{NaOH}$) and a weak acid ($\text{H}_2\text{CO}_3$), which makes it basic in nature. Since both substances are basic and share the same sodium cation ($\text{Na}^+$), there is no chemical driving force (such as neutralization or precipitation) for them to react. Therefore, dilute $\text{NaOH}$ solution and solid sodium carbonate do not react.

• Option A, B, and D are incorrect because they suggest a reaction takes place, which is chemically impossible under these conditions.