MN551 Unit 5 acid base problem set example

Reviewed by Elspeth Marlowe, MSN, RN Advanced Physiology and Pathophysiology Purdue University Global Free custom sample in 24 to 48h

This page holds a complete MN551 Unit 5 acid base problem set example in true form. Five composite blood gases each hide a second disturbance behind the obvious one, and the answers use delta ratios, albumin-corrected gaps, a urine anion gap and acute versus chronic predictions to find it. Computed values are printed before the prose, and every answer ends in the physiology that produced the numbers. Most sections set this unit as a problem set.

What this page holds

Every one of the five MN551 problems goes past the first diagnosis, using delta ratios, corrected gaps, a urine anion gap and chronic-versus-acute expectations to expose the process underneath. Searches like "mn 551 unit 5 assignment example", "mn551 unit 5 sample" and "mn551 unit 5 example" land here.

1

Five Blood Gases, Ten Disturbances: A Worked Acid-Base Problem Set on Mixed Disorders

[Student Name]

Purdue University Global

MN551: Advanced Physiology and Pathophysiology

Unit 5 Assignment

[Instructor Name]

[Date]

All five patients are composites written as a model document. No real patient is described.

What this part is doingA problem set is still a document with a title and a purpose. This title tells the grader that each problem contains more than one process, which frames every answer as a search for the second disorder rather than a single label.
2

Reading Order Used for Every Problem

Each problem is read in the same four steps. First, the pH gives the direction: acidemia below 7.35, alkalemia above 7.45. Second, the primary change is the variable, PaCO2 or bicarbonate, that moved in the direction that explains the pH. Third, the expected compensation is calculated, and if the measured value falls outside the predicted range, a second primary disorder is named. Compensation never overshoots and rarely reaches normal, so a value beyond the prediction is not overcompensation (Berend et al., 2014). Fourth, the anion gap is calculated as sodium minus chloride and bicarbonate, corrected for albumin, and followed by the delta ratio when the gap is raised. Computed values were generated first by a short script and are printed under each problem before any interpretation, so the arithmetic in the table and the sentences cannot drift apart.

What this part is doingPrinting the reading order at the top lets a grader find the exact step where any answer went wrong. The rule that compensation does not overshoot is stated once and cited, because problems three and four depend on it.
3

Problem 1: Type 1 Diabetes With Two Days of Vomiting

Values given: a composite 24-year-old with type 1 diabetes; pH 7.24, PaCO2 24 mm Hg, bicarbonate 10 mEq/L, sodium 134, chloride 88, albumin 4.0 g/dL.

Computed (script output): anion gap 36; expected PaCO2 by Winter's formula 21-25; delta ratio 1.71; bicarbonate plus change in gap 34.

Disturbances: anion gap metabolic acidosis with appropriate respiratory compensation, and a coexisting metabolic alkalosis.

Mechanism: Insulin deficiency lets lipolysis flood the liver with fatty acids, and ketoacids consume bicarbonate as they dissociate, raising the gap to 36. The PaCO2 of 24 sits inside the Winter's range, so ventilation is compensating appropriately. The delta ratio is where the second process appears. In ketoacidosis the ratio is usually close to 1, because ketoanions are excreted in urine and the gap rises less than bicarbonate falls. Here the gap rose by 24 while bicarbonate fell by only 14, and adding the change in gap back to the measured bicarbonate gives 34, higher than any normal value. Bicarbonate was being added while ketoacids consumed it. Two days of vomiting removed hydrochloric acid from the stomach, and each hydrogen ion lost leaves a bicarbonate behind, while the low chloride of 88 reflects the same loss.

What this part is doingThe first answer is correct and deliberately incomplete until the delta ratio is used. Explaining why the expected ratio in ketoacidosis is near 1 makes the 1.71 meaningful, and the vomiting is named as the source of the added bicarbonate instead of being left as a history detail.
4

Problem 2: Long-Standing Lung Disease With a New Infection

Values given: a composite 71-year-old man with chronic obstructive pulmonary disease and three days of purulent sputum; pH 7.26, PaCO2 70 mm Hg, bicarbonate 30 mEq/L, sodium 138, chloride 96.

Computed (script output): anion gap 12; expected bicarbonate for acute respiratory acidosis 27; expected bicarbonate for chronic respiratory acidosis 34.5.

Disturbances: acute respiratory acidosis superimposed on chronic respiratory acidosis.

Mechanism: In an acute rise of PaCO2, bicarbonate climbs about 1 mEq/L for every 10 mm Hg, almost entirely from intracellular buffering. Over days, the kidney adds a larger rise of about 3.5 mEq/L per 10 mm Hg by increasing ammonium excretion and bicarbonate reabsorption (Berend et al., 2014). A bicarbonate of 30 sits between the two predictions. The kidney has had time to compensate for this man's usual carbon dioxide, which was probably near 55, but not for the recent rise produced by the infection and the fatigue of breathing through obstructed airways. The same measured value would mean something different in a patient with no lung disease.

What this part is doingBoth predictions are computed and printed, so the reader sees exactly where the measured value falls. The answer converts the gap between them into two time scales of the same process and ties each to its mechanism, intracellular buffering and renal adaptation.
5

Problem 3: Salicylate Ingestion

Values given: a composite 38-year-old who took a large quantity of aspirin; pH 7.46, PaCO2 22 mm Hg, bicarbonate 15 mEq/L, sodium 140, chloride 104.

Computed (script output): anion gap 21; expected PaCO2 by Winter's formula 28.5-32.5; delta ratio 1.0.

Disturbances: anion gap metabolic acidosis and a primary respiratory alkalosis.

Mechanism: A gap of 21 with a bicarbonate of 15 is a metabolic acidosis, yet the pH is alkalemic. The PaCO2 of 22 is well below the 28.5 to 32.5 that compensation would produce, so a second primary process is lowering carbon dioxide. Salicylate stimulates the medullary respiratory center directly, which drives ventilation before any acid accumulates. In the tissues it uncouples oxidative phosphorylation, so cells turn to anaerobic metabolism and lactate and ketoacids accumulate alongside salicylate itself, producing the gap (Hall & Hall, 2021). Calling the low PaCO2 an exaggerated compensation would be physiologically wrong, since the drug is acting on two systems at once.

What this part is doingThe pH is the first clue that one process cannot explain the numbers. Naming both actions of salicylate, central respiratory stimulation and mitochondrial uncoupling, gives each disorder its own cause and explains why the combination is typical of this poisoning.
6

Problem 4: Sepsis With a Low Albumin

Values given: a composite 58-year-old with pneumonia and hypotension; pH 7.35, PaCO2 34 mm Hg, bicarbonate 18 mEq/L, sodium 136, chloride 104, albumin 1.8 g/dL, lactate 4.6 mmol/L.

Computed (script output): anion gap 14; albumin-corrected gap 19.5; expected PaCO2 by Winter's formula 33-37; delta ratio with corrected gap 1.25.

Disturbances: anion gap metabolic acidosis from lactate, masked by hypoalbuminemia, with appropriate respiratory compensation.

Mechanism: Albumin is the largest unmeasured anion in plasma, so when it falls the gap falls with it, by about 2.5 mEq/L for each 1 g/dL drop (Figge et al., 1998). An unadjusted gap of 14 looks normal. Corrected for an albumin of 1.8, it is 19.5, and the lactate of 4.6 accounts for most of the difference. Poor tissue perfusion forces cells to regenerate energy anaerobically, and lactate accumulates faster than the liver can clear it. Left uncorrected, this problem would be read as a non-gap acidosis, and the lactate would be missed.

What this part is doingThe unadjusted gap is shown first so its misleading value is visible. The correction formula is stated with its source, and the answer names the specific acid the corrected gap reveals, which is the reason the correction matters clinically.
7

Problem 5: A New High-Output Ileostomy

Values given: a composite 45-year-old eight days after bowel surgery with an ileostomy draining heavily; pH 7.31, PaCO2 29 mm Hg, bicarbonate 14 mEq/L, sodium 138, chloride 114; urine sodium 30, urine potassium 25, urine chloride 75.

Computed (script output): anion gap 10; expected PaCO2 by Winter's formula 27-31; urine anion gap minus 20.

Disturbances: normal anion gap metabolic acidosis from gastrointestinal bicarbonate loss, with appropriate respiratory compensation.

Mechanism: Small intestinal fluid is rich in bicarbonate, and a high-output stoma removes it faster than the kidney can regenerate it. Chloride rises in its place to preserve electroneutrality, so the gap stays normal. The urine anion gap tests the kidney's response. Ammonium is the main route of renal acid excretion and is not measured directly, but it travels with chloride, so a negative urine anion gap indicates that ammonium excretion is high (Kraut & Madias, 2007). A value of minus 20 shows the kidney responding normally to acidosis, which places the source of the problem in the gut rather than in a tubular defect such as distal renal tubular acidosis.

The respiratory side of this problem is simple, and that simplicity is informative. A PaCO2 of 29 sits in the middle of the Winter's range, so ventilation is compensating exactly as expected and no second respiratory disorder is present. Across the five problems, then, only this one and problem four contain a single metabolic process with appropriate compensation, and even problem four required a correction before its gap could be read. The set is built this way on purpose: a reader who stops at the first label would be right about the direction in every case and wrong about the full picture in three of them.

What this part is doingThe urine anion gap is used as evidence about the kidney, not as a number to report. Explaining why ammonium travels with chloride shows the reasoning behind the sign, and the conclusion locates the disorder by ruling out the kidney as its cause.
8

References

Berend, K., de Vries, A. P. J., & Gans, R. O. B. (2014). Physiological approach to assessment of acid-base disturbances. New England Journal of Medicine, 371(15), 1434-1445. https://doi.org/10.1056/NEJMra1003327

Figge, J., Jabor, A., Kazda, A., & Fencl, V. (1998). Anion gap and hypoalbuminemia. Critical Care Medicine, 26(11), 1807-1810. https://doi.org/10.1097/00003246-199811000-00019

Hall, J. E., & Hall, M. E. (2021). Guyton and Hall textbook of medical physiology (14th ed.). Elsevier.

Kraut, J. A., & Madias, N. E. (2007). Serum anion gap: Its uses and limitations in clinical medicine. Clinical Journal of the American Society of Nephrology, 2(1), 162-174. https://doi.org/10.2215/CJN.03020906

How this MN551 Unit 5 example is structured

Every problem follows one reading order, printed at the top of the set for any grader to verify: pH for direction, the primary change, the expected compensation, then the gap and whatever the gap implies. Where measured compensation misses its prediction, the set names a second primary disorder rather than calling it partial compensation. Calculations appear first as script output, then as sentences, and each sentence ends in physiology: ketoacids consuming bicarbonate while vomiting removes hydrochloric acid; a kidney that has had weeks to retain bicarbonate against a raised PaCO2; salicylate stimulating the medullary respiratory center directly while uncoupling oxidative phosphorylation in the tissues. The albumin problem shows why an unadjusted gap of 14 looks normal and is not, since each 1 g/dL fall in albumin lowers the gap by about 2.5 mEq/L.

Get an MN551 Unit 5 example written to your instructions

Post the values exactly as your MN551 problem set lists them, plus the instructions on showing work and whatever rubric applies. The free first set is ready in 24-48h, every calculation printed by script and then read in sentences, including the second disturbance each problem was built to hide and the physiology behind it. The paper above is an original model document written by our desk, not a submitted student paper and not an official Purdue University Global document.

MN551 Unit 5 questions, answered

Is Winter's formula enough for the metabolic problems?

It predicts respiratory compensation for a metabolic acidosis, and the sample uses it for that. It says nothing about a hidden second metabolic process, which is why the delta ratio and the albumin correction also appear. Graduate sets often combine all three, and relying on one formula alone tends to miss exactly the disturbance a problem was written to test.

Why include a script instead of working by hand?

The script only prevents arithmetic slips; interpretation stays in prose, where the marks are. Many sections accept either approach. If yours requires hand-worked steps, the sample can show them in full instead, but the reading of each value still has to be written out, because a correct number with no meaning attached earns little.

What counts as a mixed disorder?

Two or more primary processes at once, each with its own cause. A patient can have a metabolic acidosis and a metabolic alkalosis together, or a metabolic acidosis with a separate respiratory alkalosis, and the pH may even look near normal. Compensation is never a primary process and does not return pH fully to 7.40, which is one clue that a second disorder is present.