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The relationship between alveolar ventilation (mL/min), carbon dioxide productio

ID: 3473087 • Letter: T

Question

The relationship between alveolar ventilation (mL/min), carbon dioxide production (mL/min), and partial pressure of carbon dioxide in the blood (mm Hg) is written below. If the alveolar ventilation increases from 500 mL/min to 1,000 mL/min and carbon dioxide production remains constant, what would be the new value for the partial pressure of carbon dioxide in the blood (assuming a starting value of P)?

*You may note that the units do not cancel because there is a constant missing that is necessary to equate dissimilar units.

Alveolar ventilation = (carbon dioxide production) / (partial pressure of carbon dioxide in blood)

The relationship between alveolar ventilation (m/min), carbon dioxide production (m/min), and partial pressure of carbon dioxide in the blood (mm Hg) is written below. If the alveolar ventilation increases from 500 mL/min to 1,000 m/min and carbon dioxide production remains constant, what would be the new value for the partial pressure of carbon dioxide in the blood (assuming a starting value of P)? You may note that the units do not cancel because there is a constant missing that is necessary to equate dissimilar units Alveolar ventilation (carbon dioxide production)/ (partial pressure of carbon dioxide in blood) 0.5P 1.0P 1.5P O 2.0P

Explanation / Answer

Hi,

The equation given is,

Alveolar ventilation = CO2 production / partial pressure of CO2

It is given that Alveolar ventilation is 500

Lets sat AV1= 500

AV2 = 1000(given)

CO2 produced = x

Parial pressure = p

So, 500 = x/p at time T=0

At T=1- 1000 = x/p'

Where p' is the changed partial pressure.

Since the X has not changed and the AV has doubled, the denominator p must have reduced to half. That means the p' = p/2

Or in other words 0.5p.

Hence the answer is option A. 0.5p

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