Concept: Sulfonation is an electrophilic aromatic substitution. The $-\text{SO}_3\text{H}$ group is strongly electron-withdrawing and deactivating, which influences the position of a second substituent.
Step 1: {The first sulfonation step.}
Benzene reacts with $H_2SO_4/SO_3$ to form benzenesulfonic acid.
The sulfonic acid group ($-\text{SO}_3\text{H}$) is now attached to the ring.
Step 2: {Identify the directing effect of the $-\text{SO}_3\text{H}$ group.}
The sulfonic acid group is a meta-directing and deactivating group.
This is because it withdraws electron density from the ortho and para positions through resonance.
Step 3: {Determine the product of further sulfonation.}
With excess sulfuric acid and heat, a second sulfonation occurs.
The second electrophile ($SO_3$) will be directed to the meta position relative to the first sulfonic acid group.
The final product is m-benzenedisulfonic acid.