Difficulty: Easy
Correct Answer: 0.5
Explanation:
Introduction:Ligand-binding curves relate ligand concentration (or partial pressure for gases) to the fraction of occupied binding sites. For simple one-site binding (like myoglobin), the dissociation constant Kd provides a direct benchmark of occupancy.
Given Data / Assumptions:
Concept / Approach:Use the standard binding relation: YO2 = pO2 / (pO2 + Kd). When pO2 = Kd, the expression simplifies immediately.
Step-by-Step Solution:
1) Start with YO2 = pO2 / (pO2 + Kd).2) Substitute pO2 = Kd to get YO2 = Kd / (Kd + Kd).3) Simplify: YO2 = Kd / (2 * Kd) = 1/2 = 0.5.Verification / Alternative check:The definition of Kd ensures that at ligand concentration equal to Kd, half the binding sites are occupied. This is analogous to enzymology where Km marks half-maximal velocity.
Why Other Options Are Wrong:
a) 0.1: would require pO2 << Kd.c) 0.9: would require pO2 >> Kd.d) 1.7: impossible since fractional saturation ranges from 0 to 1.e) 0.0: would require pO2 = 0.Common Pitfalls:Confusing Kd with the concentration for near-saturation; misapplying cooperative (hemoglobin) vs noncooperative (myoglobin) models.
Final Answer:0.5.
Discussion & Comments