The problem involves a transition metal (M) that does not liberate hydrogen gas from dilute HCl. Therefore, M is likely copper (Cu), since copper does not displace hydrogen from acids like HCl due to its positive reduction potential.
Now, consider the steps given in the problem:
In the first step, excess potassium cyanide (KCN) forms a complex with copper sulfate (CuSO4). The stable complex formed is potassium tetracyanocuprate (K3[Cu(CN)4]), which can be represented as follows:
\(\mathrm{Cu^{2+} + 4CN^- \rightarrow [Cu(CN)_4]^{3-}}\)
This complex is quite stable and the formation of such complexes prevents the release of free metal ions.
In the next step, hydrogen sulfide gas (H2S) is introduced. The complexation with cyanide means that no free Cu2+ ions are available to react with H2S. As a result, copper sulfide (CuS) will not precipitate since the free copper ions are unavailable.
Therefore, the amount of \(\mathrm{MS}\) (metal sulfide) formed in this reaction is 0 mol. So, the correct answer is \(0\).
Kjeldahl's method cannot be used for the estimation of nitrogen in which compound? 
In the group analysis of cations, Ba$^{2+}$ & Ca$^{2+}$ are precipitated respectively as