The turnover number of the enzyme in μmol product produced per μmol of enzyme subunit per mL is 4500 min⁻¹
Where
For the bacterial isocitrate dehydrogenase;
Therefore,
180 kDa = 180000g/mol
1 mg = 0.001 g
Et = 0.001/180000g/mol
Et = 5.55 * 10⁻⁹ mol * 10⁶μmol/mol
Et = 5.55 * 10⁻³ μmol
Vmax = 0.05 mmol/ min * 1000μmol/1 mmol
Vmax = 50 μmol/min
Using the formula, Turnover number = Vmax/Et
Turnover number = 50 μmol/min /5.55 * 10⁻³ μmol
Turnover number = 9000 min⁻¹
Since the enzyme is a homodimer;
Then, the turnover number = 9000 min⁻¹/2
Turnover number = 4500 min⁻¹
Therefore, the turnover number of the enzyme in μmol product produced per μmol of enzyme subunit per mL is 4500 min⁻¹
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