Question

Calculate the fractional saturation for hemoglobin when the partial pressure of oxygen is 40 mm Hg. Assume hemoglobin is 50%% saturated with oxygen at a partial pressure of 22 mm Hg and that the Hill coefficient is 3.

Answer 1

The fractional saturation for hemoglobin is 0.86

Step-by-step explanation:

The fractional saturation for hemoglobin can be calculated using the formula

`Y_{O_(2) } = \frac{(P_{O_(2) })^(h) } {(P_(50))^(h) + (P_{O_(2) })^(h) }`

Where
`Y_{O_(2) } \\` is the fractional oxygen saturation

`{P_{O_(2) }` is the partial pressure of oxygen

`P_(50)` is the partial pressure when 50% hemoglobin is saturated with oxygen

and h is the Hill coefficient

From the question,

`{P_{O_(2) }` = 40 mm Hg

`P_(50)` = 22 mm Hg

h = 3

Putting these values into the equation, we get

`Y_{O_(2) } = \frac{(P_{O_(2) })^(h) } {(P_(50))^(h) + (P_{O_(2) })^(h) }`

`Y_{O_(2) } = (40^(3) )/(22^(3) + 40^(3) )`

`Y_{O_(2) } = (64000 )/(10648 + 64000 )`

`Y_{O_(2) } = (64000 )/(74648 )`

`Y_{O_(2) } = 0.86`

Hence, the fractional saturation for hemoglobin is 0.86.