Step 1: Understanding the Concept:
Both are important sodium salts with distinct domestic and industrial applications.
Step 2: Detailed Explanation:
Washing Soda (\(\text{Na}_2\text{CO}_3 \cdot 10\text{H}_2\text{O}\)):
1. It is used for softening hard water (removing permanent hardness).
2. It is widely used as a cleansing agent for domestic purposes (laundry) and in the manufacture of glass, soap, and paper.
Baking Soda (\(\text{NaHCO}_3\)):
1. It is a major ingredient in baking powder, which is used to make cakes and bread soft and spongy (by releasing \(\text{CO}_2\) when heated).
2. It acts as an antacid in medicine to neutralize excess stomach acidity. It is also used in soda-acid fire extinguishers.
Step 3: Final Answer:
See detailed explanation for the required uses.