Step 1: Understanding the Concept:
Stability of an alkene rises with the number of alkyl groups on the \(\text{C=C}\) carbons. Alkyl groups donate electron density and add hyperconjugation.
Step 2: Detailed Explanation:
Count alkyl groups on the double bond:
\(\text{R}_2\text{C=CR}_2\): 4 groups (tetra-substituted).
\(\text{R}_2\text{C=CH}_2\): 2 groups.
\(\text{RCH=CHR}\): 2 groups.
\(\text{RCH=CH}_2\): 1 group.
The tetra-substituted alkene has the most \(\alpha\)-hydrogens and the lowest heat of hydrogenation, so it is the most stable.
Step 3: Final Answer:
Option (A), \(\text{R}_2\text{C=CR}_2\).
Final Answer:
The tetra-substituted alkene is the most stable.
\[ \boxed{\text{(A) }\text{R}_2\text{C=CR}_2} \]