In Michaelis-Menten’s equation, if [ 𝑆 ] = 15 𝐾 𝑚 [S]=15K m , then the ratio 𝑣 0 𝑉 𝑚 𝑎 𝑥 V max v 0 is __________.

In Michaelis-Menten’s equation, if $S] = 15 K_m$ , then the ratio $v0Vmax\frac{v_0}{V_{max}}$ is __________.

Sourav PanAugust 18, 2024

Answer

Answer: 0.937

Explanation:
Using the Michaelis-Menten equation:
$v_0 = \frac{V_{max} \cdot [S]}{K_m + [S]}$
Substituting $S] = 15 K_m$ :
$\frac{v_0}{V_{max}} = \frac{15 K_m}{K_m + 15 K_m} = \frac{15}{16} \approx 0.937$

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