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ladessa [460]
3 years ago
7

Penicillin is hydrolyzed and thereby rendered inactive by penicillinase, an enzyme present in some resistant bacteria. The mass

of this enzyme in Staphylococcus aureus is 29.6 kd. The amount of penicillin hydrolyzed in 1 minute in a 10-ml solution containing 10^-9 g of purified penicillinase was measured as a function of the concentration of penicillin. A plot of 1/V_0 versus 1/[S] indicated the V_max=6.8 times^- 10 mol minute^-1. Assuming one active site per enzyme molecule, the turnover number for penicillinase is
(A) 337 s^-1
(B) 337 min^-1
(C) 600 hour^-1
(D) 33 hour^-1 600 s^-1
Chemistry
1 answer:
Arisa [49]3 years ago
4 0

Answer:

The turnover number is the maximum substrate quantitiy converted to product per enzyme and per second. It can be calculate as follows:

k_c = \frac{V_{max}}{[E]} with [E] active enzyme concentration.

In this case we have Vmax an data to calculate [E]

moles of E=\frac{10^{-9}g}{29600 g/mol}=3.38*10^{-14}

[E]=\frac{3.38*10^{-14}}{0.01 L}=3.38*10^{-12} M

Now k_c=\frac{6.8*10^-10}{3.38*10^{-12}}=201.28 min^{-1}

it is not like any option.

If we assume that V_{max} have the non usual units of mol L^{-1} min^{-1} and it is 6.8*10^-10 mol min^{-1}

So we need divide by the moles of E (in place of [E])

Now k_c=\frac{6.8*10^-10}{3.38*10^{-14}}=20128 min^{-1} = 335 s{-1}

(pass from min^{-1} to s^{-1} dividing by 60)

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