Starting from `SiCl_4` prepare the following in steps not exceeding the number give in parantheses ( give reaction only )
a. Silicon (1)
b. Linear silicon containing methyl groups only (4)
c. `Na_2 SiO_3 (3) `.

Explanation

(a) `SiCl_(4) + 2Mg overset(Delta)rarr Si +2MgCl_(2)` or `3SiCl_(4) + 4Al overset(Delta)rarr 4AlCl_(3) + 3Si`
(b) (i) `SiCl_(4) + Mg rarr Si +2MgCl_(2)`, (ii) `Si + 2CH_(3)Cl overset(" Cu powder ")underset(570 K)rarr (CH_(3))_(2)SiCl_(2)`
(iii) `(CH_(3))_(2)SiCl_(2) + 2H_(2)O rarr HO-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(Si)-OH`
(iv)
(c ) (i) `SlCl_(4) + 4H_(2)O rarr Si(OH)_(4) + 4HCl`
(ii) `Si(OH)_(4) overset(Delta)rarr SiO_(2) + 2H_(2)O` , (iii) `SiO_(2) + 2 NaOH overset(Delta)rarr Na_(2)SiO_(3) + H_(2)O`