Identify the initial oxidation number of Carbon in \(CH_4\): In methane, \(CH_4\), carbon is bonded to four hydrogen atoms. The usual oxidation state for hydrogen is +1. For a neutral molecule such as methane, the sum of the oxidation numbers must equal zero. Therefore, the equation becomes:
\(x + 4(+1) = 0\)
Solving for \(x\), the oxidation number of carbon:
\(x = -4\)
Thus, the oxidation number of carbon in methane is -4.
Determine the oxidation number of Carbon in \(CCl_4\): In carbon tetrachloride, \(CCl_4\), carbon is bonded to four chlorine atoms. The usual oxidation state of chlorine is -1. Thus, for the neutral molecule \(CCl_4\):
\(y + 4(-1) = 0\)
Solving for \(y\), the oxidation number of carbon:
\(y = +4\)
Hence, the oxidation number of carbon in carbon tetrachloride is +4.
Calculate the change in oxidation number: The oxidation number of carbon changes from -4 in \(CH_4\) to +4 in \(CCl_4\). Therefore, the change in oxidation number is:
\(+4 - (-4) = 8\)
However, in terms of the initial and final oxidation states, we describe it simply as:
-4 to +4
Conclusion: The correct option is -4 to +4, which demonstrates a significant increase in the oxidation state, indicating a transfer of electrons and oxidation process. Carbon undergoes an oxidation process whereby it loses electrons to chlorine, increasing its oxidation state.