`"Colemanite" + Na_(2)CO_(3) overset("Fused")rarr (A) + (B) + CO_(2)`
`underset("Solution")((A)) + CO_(2) rarr(B) + Na_(2) CO_(3)`
`(B) + conc HCl rarr NaCl + underset("Acid")((C))`
`underset("Acid")((C)) +H_(2)O rarr underset("Acid")((D))`
`(D) overset("Strong heating")rarr (E)`
`(E) +CuSO_(4) overset("Heated") underset("inflame")rarr underset("Blue-coloured compound")((F))`.
Colemanite is.

Options

A. `Ca_(2)B_(2)O_(11)`
B. `Ca_(2)B_(6)O_(11)`
C. `Ca_(4)B_(4)O_(11)`
D. `Ca_(6)B_(6)O_(11)`

Explanation

To solve the question regarding the reactions involving "Colemanite," we will analyze each step of the reaction sequence and identify the compounds involved.

1. **Identifying Colemanite**:
Colemanite is a borate mineral with the chemical formula \( \text{Ca}_2\text{B}_6\text{O}_{11} \cdot 5\text{H}_2\text{O} \). It is primarily composed of calcium, boron, and oxygen.

2. **First Reaction**:
The first reaction involves Colemanite reacting with sodium carbonate (\( \text{Na}_2\text{CO}_3 \)) when fused. The products of this reaction are:
- (A) Sodium borate, which can be represented as \( \text{Na}_2\text{B}_4\text{O}_7 \) (borax).
- (B) Calcium carbonate (\( \text{CaCO}_3 \)).
- Carbon dioxide (\( \text{CO}_2 \)) is also produced.

Thus, the first reaction can be summarized as:
\[ \text{Ca}_2\text{B}_6\text{O}_{11} \cdot 5\text{H}_2\text{O} + \text{Na}_2\text{CO}_3 \xrightarrow{\text{Fused}} \text{Na}_2\text{B}_4\text{O}_7 + \text{CaCO}_3 + \text{CO}_2 \]

3. **Second Reaction**:
The sodium borate (A) reacts with carbon dioxide to regenerate sodium carbonate (B):
\[ \text{Na}_2\text{B}_4\text{O}_7 + \text{CO}_2 \rightarrow \text{B} + \text{Na}_2\text{CO}_3 \]

4. **Third Reaction**:
The compound (B) reacts with concentrated hydrochloric acid (\( \text{HCl} \)):
\[ \text{CaCO}_3 + \text{conc HCl} \rightarrow \text{NaCl} + \text{C} \]
Here, (C) is calcium chloride (\( \text{CaCl}_2 \)).

5. **Fourth Reaction**:
The acid (C) reacts with water:
\[ \text{CaCl}_2 + \text{H}_2\text{O} \rightarrow \text{D} \]
(D) is calcium hydroxide (\( \text{Ca(OH)}_2 \)).

6. **Fifth Reaction**:
The compound (D) undergoes strong heating:
\[ \text{Ca(OH)}_2 \xrightarrow{\text{Strong heating}} \text{E} \]
(E) is calcium oxide (\( \text{CaO} \)).

7. **Sixth Reaction**:
Finally, calcium oxide (E) reacts with copper sulfate (\( \text{CuSO}_4 \)) when heated:
\[ \text{CaO} + \text{CuSO}_4 \xrightarrow{\text{Heated}} \text{F} \]
(F) is the blue-colored compound, which is copper(II) oxide (\( \text{CuO} \)).

### Summary of Compounds:
- (A) Sodium borate: \( \text{Na}_2\text{B}_4\text{O}_7 \)
- (B) Calcium carbonate: \( \text{CaCO}_3 \)
- (C) Calcium chloride: \( \text{CaCl}_2 \)
- (D) Calcium hydroxide: \( \text{Ca(OH)}_2 \)
- (E) Calcium oxide: \( \text{CaO} \)
- (F) Copper(II) oxide: \( \text{CuO} \)

### Final Answer:
Colemanite is \( \text{Ca}_2\text{B}_6\text{O}_{11} \cdot 5\text{H}_2\text{O} \).