I am isolating protein from more volume of culture. However I am unaware how much dnase to use and also what buffer to use for its activity, if I am dissolving the pellet in 30ml of lysis buffer which does not containing MgCl2 and CaCl2.
I agree with Lucrecia - we also use 10 µg/ml DNaseI (final concentration). We occasionally do not add MgCl2 (as it disturbs some downstream applications), but it still works (probably there are enough Mg2+ ions released from the cells). You can use all kinds of buffers (Tris, HEPES, Phosphate) - choose the one that suites best for your purification procedure - the DNaseI is not affected so much by the buffer.
Also, might depend on your need, but a DNase is strictly not necessary for a protein purification since DNA is sheared off during lysis due to sonication.
The User Guide for DNAse1 from Thermo-Fisher states that inhibitors include reducing agents such as DTT. All of the instructions are clearly outlined. Check out the manual!