\(i = neAv _{ d }\)
Calculate the value of \(n\) as follows.
\(n =\frac{ N _{ A }}{ V } \times \frac{ M }{ m _{ W }}\)
\(=\frac{ N _{ A } \rho}{ m _{ w }}\)
\(=\frac{6 \times 10^{23} \times 2.7 \times 10^{3}}{27 \times 10^{-3}}\)
\(=6 \times 10^{28}\)
Substitute the values in the above expression.
\(i = neAV _{ d }\)
\(v _{ d }=\frac{ i }{ neA }\)
\(=\frac{10 \times 10^{19}}{6 \times 10^{28} \times 4 \times 10^{-6} \times 1.6}\)
\(=2.6 \times 10^{-4} m / s\)