Hello Aniruddha, the unit is still the same umol/min (U)/mL. Please see: https://www.sigmaaldrich.com/technical-documents/protocols/biology/enzymatic-assay-of-laccase.html.
I send you one protocol to test laccase activity thatwas described in the publication:
Characterization of Yellow bacterial laccase SmLac / role of redox mediators in azo dye decolorization.
Galai Said; Korri-Youssoufi Hafsa and Marzouki M. Nejib (2014)
Journal of Chemical Technology & Biotechnology Vol 89, Issue 11, pages 1741–1750
Laccase activity measurement
Laccase activity was measured following the oxidation of two substrates: 2,6 dimethoxyphenol (DMP) and 2,2_-azino-bis(3- ethylbenzthiazoline-6-sulfonic acid) (ABTS). DMP oxidase activity (DMPO) was monitored at 468nm as the production of 3,3_,5,5_- tetramethoxydiphenylquinone (_468 =14.800 mol L-1 cm-1). The oxidation reaction took place in the presence of 2 mmol L-1 DMP in 0.1 mol l-1 phosphate buffer pH 5.0 and 0.2 mmol L-1 CuSO4. ABTS oxidase activity (ABTSO) was measured by monitoring its oxidation at 420nm (_420 =36.000 mol L-1 cm-1). The reaction mixture contained 0.5 mmol L-1 ABTS and 0.2 mmol L-1 CuSO4 in 0.1 mol L-1 phosphate buffer pH 5.0. One unit of enzyme activity (U) was defined as the amount of enzyme that catalyzed the appearance of 1 μmol of product per minute at 40 ◦C.
Hi dear colleague As researchers have explained the laccase as enzymes to the end, its activity is also defined as the amount of enzyme that catalyzes the conversion of 1 μmol of substrate in one minute. The specific activity as the number of units of enzyme per milligram of protein (U / mg prot) or per milliliter of solution (U / ml). In the specific case of laccases, these enzyme have a great potential for degradation of different compounds, so the determination of the enzymatic activity of these multicobre oxidases are quantified mostly by UV / Vis spectroscopy. Because there is a colorimetric reaction derived from the oxidation of a substrate of low redox potential, for example: ABTS (2,2'-azino-bis (3-ethylbenzthiazoline-6-sulfonic acid), Guaiacol (O-methoxyphenol), Tyrosine 2-Amino-3- (4-hydroxyphenyl) -propanoic acid, Hydroquinone (1,4-dihydroxybenzene) and syringaldazine (4-hydroxy-3,5-dimethoxybenzaldehyde azine). So depending on the test you use may have some variation but generally a unit of enzymatic activity (U) will be the amount of bio transformed substrate or formed product per ml of enzyme.