2.10: Solutions to Selected Problems
- Page ID
- 200454
Exercise 2.4.1:
a) non-competitive
b) competitive
c) competitive
d) non-competitive
Exercise 2.5.1:
a) \(V_{max} = 1.8 \times 10^{-5} \frac{mol}{Ls}\)
\[\frac{V_{max}}{2} = 9 \times 10^{-6} \frac{mol}{Ls} \: so \: K_{m} = 6 \frac{mol}{L} \nonumber\]
b) \(V_{max} = 6.5 \times 10^{-7} \frac{mol}{Ls}\)
\[\frac{V_{max}}{2} = 3.25 \times 10^{-7} \frac{mol}{Ls} \: so \: K_{m} = 7 \frac{mol}{L} \nonumber\]
c) \(V_{max} = 2.6 \times 10^{-5} \frac{mol}{Ls}\)
\[\frac{V_{max}}{2} = 1.3 \times 10^{-5} \frac{mol}{Ls} \: so \: K_{m} = 6 \frac{mol}{L} \nonumber\]
d) \(V_{max} = 1.2 \times 10^{-5} \frac{mol}{Ls}\)
\[\frac{V_{max}}{2} = 6 \times 10^{-6} \frac{mol}{Ls} \: so \: K_{m} = 6 \frac{mol}{L} \nonumber\]
e)
\[V_{max} = 6.0 \times 10^{-7} \frac{mol}{Ls} \nonumber\]
\[\frac{V_{max}}{2} = 3 \times 10^{-7} \frac{mol}{Ls} \: so \: K_{m} = 13 \frac{mol}{L} \nonumber\]
Exercise 2.5.2:
a) \(\frac{1}{V_{max}} = 30 \frac{Ls}{mol} \: so \: V_{max} = 3.3 \times 10^{-2} \frac {mol}{Ls}\)
\(\frac{-1}{K_{m}} = -40 \frac{L}{mmol} \: so \: K_{m} = 2.5 \times 10^{-2} \frac{M}{L}\)
b) \(\frac{1}{V_{max}} = 50 \frac{Ls}{mol} \: so \: V_{max} = 2.0 \times 10^{-2} \frac {mol}{Ls}\)
\(\frac{-1}{K_{m}} = -70 \frac{L}{mmol} \: so \: K_{m} = 1.4 \times 10^{-2} \frac{M}{L}\)
c) \(\frac{1}{V_{max}} = 60 \frac{Ls}{mol} \: so \: V_{max} = 1.7 \times 10^{-2} \frac {mol}{Ls}\)
\(\frac{-1}{K_{m}} = -70 \frac{L}{mmol} \: so \: K_{m} = 1.4 \times 10^{-2} \frac{M}{L}\)
d) \(\frac{1}{V_{max}} = 50 \frac{Ls}{mol} \: so \: V_{max} = 2.0 \times 10^{-2} \frac {mol}{Ls}\)
\(\frac{-1}{K_{m}} = -100 \frac{L}{mmol} \: so \: K_{m} = 1.0 \times 10^{-2} \frac{M}{L}\)
e) \(\frac{1}{V_{max}} = 30 \frac{Ls}{mol} \: so \: V_{max} = 3.3 \times 10^{-2} \frac {mol}{Ls}\)
\(\frac{-1}{K_{m}} = -100 \frac{L}{mmol} \: so \: K_{m} = 1.0 \times 10^{-2} \frac{M}{L}\)
a) \(\frac{1}{V_{max}} = 30 \frac{Ls}{mol} \: so \: V_{max} = 3.3 \times 10^{-2} \frac {mol}{Ls}\)
\(\frac{-1}{K_{m}} = -60 \frac{L}{mmol} \: so \: K_{m} = 1.7 \times 10^{-2} \frac{M}{L}\)
Exercise 2.5.3:
- uncompetitive
- mixed
- noncompetitive
- competitive
- uncompetitive
- noncompetitive
- competitive