To convert propyne to benzene, the following steps are needed:
1. Reduction of propyne to alkene (propene): The first step is to reduce propyne to propene using H\(_2\)/Pd (a catalytic hydrogenation). This process will hydrogenate the triple bond to a double bond, forming propene.
2. Bromination of propene: The second step is to brominate the alkene using HBr/(C\(_6\)H\(_5\)CO)₂O₂. This step will add a bromine atom to the carbon-carbon double bond in propene, resulting in a bromoalkene intermediate.
3. Dehydrohalogenation to form acetylene: The third step involves using Na/ dry ether to induce a dehydrohalogenation reaction. The bromoalkene undergoes elimination to form acetylene.
4. Cyclization to benzene: The final step involves passing the acetylene over Cr\(_2\)O\(_3\) (high T and P), which catalyzes the cyclization of acetylene to form benzene.
Thus, the correct sequence of reagents is H\(_2\)/Pd, HBr/(C\(_6\)H\(_5\)CO)₂O₂, Na/ dry ether, Cr\(_2\)O\(_3\) (high T and P).