Chapter 7: Q4P (page 218)

Calculate the p₅₀ value for hemoglobin if Yo₂ = 0.82 when pO₂ = 25 torr.

Short Answer

Expert verified

The p₅₀ value for hemoglobin if Yo₂ = 0.82 when pO₂ = 25 torr is 17.11 torr.

Step by step solution

Equation for the p50 value

To determine the p₅₀ of hemoglobin, Hill equation is used, which is as follows:

$Y_{O_{2}} = \frac{{(p O_{2})}^{n}}{{(p_{50})}^{n} + {(p O_{2})}^{n}}$

Here,is the fractional saturation= 0.82; p₅₀ is the oxygen pressure where hemoglobin is half saturated, which is to be determined; pO₂ is the partial pressure of oxygen = 25 torr; n is the Hill constant of hemoglobin = 4.

Derivation of the Hill equation

From the above equation, we could be able to construct an equation for p₅₀.

$\begin{array}{rcl} Y_{O_{2}} & = & \frac{{(p O_{2})}^{n}}{{(p_{50})}^{n} + {(p O_{2})}^{n}} \\ Y_{O_{2}} * {(p_{50})}^{n} + Y_{O_{2}} * {(p O_{2})}^{n} & = & {(p O_{2})}^{n} \\ Y_{O_{2}} * {(p_{50})}^{n} & = & {(p O_{2})}^{n} - Y_{O_{2}} * {(p O_{2})}^{n} \\ {(p_{50})}^{n} & = & \frac{{(p O_{2})}^{n} - Y_{O_{2}} * {(p O_{2})}^{n}}{Y_{O_{2}}} \\ {(p_{50})}^{n} & = & \frac{{(p O_{2})}^{n} - (1 - Y_{O_{2}})}{Y_{O_{2}}} \end{array}$

Determination of p50 value

Putting all the values in the above equation, we get,

$\begin{array}{rcl} {(p_{50})}^{4} & = & \frac{{(25)}^{4} (1 - 0.82)}{0.82} \\ {(p_{50})}^{4} & = & \frac{390625 * 0.18}{0.82} \\ {(p_{50})}^{4} & = & 85747 \\ p_{50} & = & {(85747)}^{\frac{1}{4}} \\ p_{50} & = & 17.11 t o r r \end{array}$

Hence, the value of p₅₀ is 17.11 torr

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Calculate the p₅₀ value for hemoglobin if Yo₂ = 0.82 when pO₂ = 25 torr.

Short Answer

Step by step solution

Equation for the p50 value

Derivation of the Hill equation

Determination of p50 value

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Calculate the p50 value for hemoglobin if Yo2 = 0.82 when pO2 = 25 torr.

Short Answer

Step by step solution

Equation for the p50 value

Derivation of the Hill equation

Determination of p50 value

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Biology Textbooks

Cellular Energetics

Cell Cycle

Genetic Information

Biological Structures

Biology Experiments

Energy Transfers

Study anywhere. Anytime. Across all devices.

Calculate the p₅₀ value for hemoglobin if Yo₂ = 0.82 when pO₂ = 25 torr.