Consider the following statements regarding Washing Soda (Sodium Carbonate Decahydrate): 1. Washing soda is prepared by heating baking soda and recrystallizing the product. 2. It is used for removing permanent hardness of water by precipitating dissolved calcium and magnesium ions as insoluble carbonates. 3. On exposure to dry air, washing soda crystals lose nine molecules of water of crystallization to form a monohydrate, a process known as efflorescence. Which of the statements given above are correct?
Options:
- A: 1 and 2 only
- B: 2 and 3 only
- C: 1 and 3 only
- D: 1, 2 and 3
Related Practice Questions:
- Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
- Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
- Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
- In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?