Identify `(X)` and `(Y)` in the following reactions :
Colemanite `+ (X) rarr Na_(2) B_(4) O_(7)`
`NaB_(4) O_(7) + (Y) rarr H_(3) BO_(3)`.

Explanation

Colemanite `(Ca_(2) B_(6) O_(11))` reacts with `Na_(2) CO_(3)` to produce `Na_(2) B_(4) O_(7)`, which on acidification with hot and `conc H_(2) SO_(4)//HCl` gives boric acid, `H_(3) BO_(3)`.
`Ca_(2) B_(6) O_(11) + underset((X)) (Na_(2) CO_(3)) rarr Na_(2) B_(4) O_(7) + 2 NaBO_(2) + 2 CaCO_(3)`
`Na_(2)B_(4)O_(7) + H_(2) SO_(4) + underset((Y)) (5H_(2) O) rarr 2Na_(2) SO_(4) +_ 4 H_(3) BO_(3)`
Or
`Na_(2) B_(4) O_(7) + underset((Y)) (2HCl) + 5H_(2) O rarr 2NaCl + 4 H_(3) BO_(3)`
Hence, `(X)` is `Na_(2) CO_(3)` and `(Y)` is `H_(2) SO_(4)` or `HCl`.