Step 1: Understand the given data.
- The total weight of the Cu deposit is 198 tons.
- The average grade of Cu is 1.5%.
- The Cu deposit contains 60% chalcopyrite, 30% bornite, and 10% gangue.
- The Cu content in chalcopyrite is 34.5%, as chalcopyrite contains about 34.5% Cu.
Step 2: Calculate the total amount of Cu in the deposit.
The total amount of Cu in the deposit is:
\[
\text{Total Cu} = 198 \, \text{tons} \times 1.5% = 198 \times 0.015 = 2.97 \, \text{tons of Cu}
\]
Step 3: Calculate the amount of Cu in chalcopyrite.
The amount of chalcopyrite in the deposit is:
\[
\text{Amount of chalcopyrite} = 198 \, \text{tons} \times 60% = 198 \times 0.60 = 118.8 \, \text{tons of chalcopyrite}
\]
The amount of Cu that can be extracted from chalcopyrite is:
\[
\text{Cu from chalcopyrite} = 118.8 \times 34.5% = 118.8 \times 0.345 = 40.98 \, \text{tons of Cu}
\]
Step 4: Round off to two decimal places.
The maximum amount of Cu that can be extracted from chalcopyrite is:
\[
\boxed{40.98} \, \text{tons of Cu}
\]