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Biochemistry · Acid-base chemistry
Sample itemA patient has plasma bicarbonate of 24 mmol/L and PaCO2 of 80 mmHg. Take pKa as 6.1, CO2 solubility as 0.03 mmol/L per mmHg, and log 10 = 1. What is the approximate pH?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. 7.1
Dissolved CO2 is 0.03 times 80, which is 2.4 mmol/L. The bicarbonate to CO2 ratio is 24 divided by 2.4, which is 10, and its log is 1. So the pH is 6.1 plus 1, which is 7.1, showing respiratory acidosis.
Option by option
A. 7.1 (correct)
Correct. The ratio is 10, so pH equals 6.1 plus 1.
B. 6.8
A pH of 6.8 would need a ratio near 5, which means a PaCO2 of about 160 mmHg.
C. 7.4
A pH of 7.4 needs a ratio of 20, which corresponds to a PaCO2 of about 40 mmHg.
D. 7.7
A pH near 7.7 needs a ratio near 40, which would need a PaCO2 of about 20 mmHg.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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