Step 1: Identify the type of hydrocarbon.
The molecular formula is C\(_{20}\)H\(_{42}\). This fits the general formula for alkanes, C\(_n\)H\(_{2n+2}\).
For n=20, 2n+2 = 2(20) + 2 = 40 + 2 = 42.
So, the compound is a 20-carbon alkane. Step 2: Recall the IUPAC nomenclature for alkanes.
The root name of an alkane indicates the number of carbon atoms in its longest chain. We need to identify the root name for a 20-carbon chain.
(A) Decane: "Deca-" means 10. So, C\(_{10}\)H\(_{22}\).
(B) Dodecane: "Do-" (2) + "deca-" (10) means 12. So, C\(_{12}\)H\(_{26}\).
(C) Eicosane: "Eicosa-" is the Greek prefix for 20. So, C\(_{20}\)H\(_{42}\).
(D) Hicosane: This is a common misspelling of Eicosane.
Step 3: Final Answer.
The correct name for the alkane with the molecular formula C\(_{20}\)H\(_{42}\) is Eicosane.