Blood gases. Worked examples
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![Page 1: Blood gases. Worked examples](https://reader034.fdocuments.us/reader034/viewer/2022052223/55987c161a28ab69638b45b6/html5/thumbnails/1.jpg)
Blood gases
What is most likely to be wrong with the patient and how will
you manage them?
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The Rules
All units in mmo/L and mmHg
Anion Gap = Na - (Cl + HCO3)? N < 15, > 30 = DKA or lactic
acidosis
Rule of thumb Cl normal = HAGMA
A-a gradient N = age/4+4
A = FIO2 x 713 (at sea level) - pCO2 x 1.25
= 150 - pCO2 x 1.25 at sea level on room air
Predicted pCO2 for metabolic acidosis = 1.5 x HCO3 + 8 +/-
2
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Metabolic alkalosis: Expected PCO2 = 0.9 [HCO3] + 9
Compensation for respiratory acidosis
* Acute:? HCO3 incr 1 for each 10mmHg rise pCO2 above 40
* Chronic: HCO3 incr 4 for each 10mmHg rise pCO2 above 40
* To a maximum HCO3 of 45
Respiratory alkalosis predicted HCO3 drop
* acute 2 for each 10mmHg pCO2 below 40
* chronic 5 for each 10mmHg pCO2 below 40 minimum HCO3 12-15 after 2-3 days.
Estimated osmolality = 2 Na + urea + glucose
Corrected sodium = glucose/3.5 + measured Na
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HAGMALactate or DKA
The restL CAT MUDPILES
CO, CN
Alcoholic ketoacidosis
Toluene
Methanol
Uraemia
DKA
Phenformin, Paracetamol, Pyroglutamic metabolic acidosis, Paraldehyde
Iron, isoniazid
Lactate
Ethylene glycol, ethanol
Salicylates
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NAGMAGI or renal loss / decr production of HCO3
HARDUP
Hyperchloraemia
Acetazolamide, Addison’s disease
Renal tubular acidosis
Diarrhoea, vomiting, ileostomies, fistulae
Ureteroenterostomies
Pancreatoenterostomies
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Raised Osmolar Gap
MIME ELK
Methanol/mannitol
Isopropyl alcohol
Methylene glycol
Ethylene glycol
Ethanol
Lactate
Ketones
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Case 1: 75F
Arterial
FIO2 0.5
pH 7.289 7.35-7.43
pO2 147 69-116
pCO2 26.4 32-45
BXS 13.1 -2 - +2
HCO3 12.3 22-26
Na 155 136-146
K 4.4 3.5-5.0
Cl 120 99-106
Glucose 46 3.9-5.8
Lactate 4.3 0.5-1.6
Hb 163 130-180
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Case 1: 75F
Arterial
FIO2 0.5
pH 7.289 7.35-7.43
pO2 147 69-116
pCO2 26.4 32-45
BXS 13.1 -2 - +2
HCO3 12.3 22-26
Na 155 136-146
K 4.4 3.5-5.0
Cl 120 99-106
Glucose 46 3.9-5.8
Lactate 4.3 0.5-1.6
Hb 163 130-180
Before we do any calculations look at the numbers, give me a
couple of diagnoses and tell me your management
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Case 1: 75F
Arterial
FIO2 0.5
pH 7.289 7.35-7.43
pO2 147 69-116
pCO2 26.4 32-45
BXS 13.1 -2 - +2
HCO3 12.3 22-26
Na 155 136-146
K 4.4 3.5-5.0
Cl 120 99-106
Glucose 46 3.9-5.8
Lactate 4.3 0.5-1.6
Hb 163 130-180
DKA or HHS + relative
hypoxia + hypoperfusion ?
septic
Rehydrate slowly
Add insulin and K+
replacement once K+
known
Seek and treat source
CXR
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Anion Gap
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Anion Gap
Anion Gap = Na - (HCO3 + Cl)
= 155 - (12.3 + 120)
= 22.7 (N < 15)
Causes of a raised anion gap metabolic acidosis
●DKA
●Renal failure
●Lactic acidosis
olocalised ischaemia
oshock
ohypoxia
●Toxins
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A-a Gradient
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A-a Gradient
A = FIO2 x Dry atmospheric pressure - pCO2/0.8
= FI02 x 713 (at sea level) - pCO2 x 1.25
= 0.5 x 713 - 26.4 x 1.25
= 356 - 33
= 323
A-a = 323 - 147
= 176 (N = age/4 +4
= 23)
So he’s got something going on in his lungs
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Respiratory compensation for metabolic acidosis
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Respiratory compensation for metabolic acidosis
Predicted pCO2 = 1.5 x HCO3 + 8 (+/- 2) at 24 - 48 hours
= 26.45
Which is what is measured.
This would suggest there is no respiratory component to this
patients presentation, which, given the A-a gradient, is not
correct
So ? partially compensated metabolic acidosis which would
cause a CO2 greater than 26.45 + a respiratory alkalosis
driving the CO2 down to the measured 26.4
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Corrected Sodium
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Corrected Sodium
Corrected Na = glucose/3.5 + measured Na
= 46/3.5 + 155
= 171
Na > 160 has 75% mortality high incidence of neurological
deficits in survivors.
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Estimated Osmolality
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Estimated Osmolality
Osmolality = 2Na + glucose + urea
= 310 + 46 + urea - which is likely to be high
= 356 + urea (278-305)
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Conclusion
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Raised anion gap metabolic acidaemia, extreme
hyperglycaemia, hyperosmolality + lactic acidosis.
At this age most likely to be HHS rather than DKA. With lactic
acidosis the acidosis, though likely to be a component of
renal failure
K normal but patient likely to be whole body K deficient and
likely to become hypoK with treatment.
Marked A-a gradient suggesting a respiratory component to
the presentation, with hypoxia prehospital causing the
lactic acidosis
Source of deterioration needs to be sought and corrected eg
pneumonia, CCF, MI.
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The patient needs volume replacement initially with isotonic
crystalloid until perfusion is normalised then with hypotonic saline
to correct hyperosmolality (patient is relatively more deficient in
free water than sodium). There is a risk of cerebral and
pulmonary oedema if osmolality and dehydration is corrected
too quickly. If there is pulmonary oedema before resuscitation the
patient will need ventilatory support as volume is replaced.
1L NS/1H till intravascularly euvolamic then 1/2NS at 250ml/hr
(maximum of 50ml/kg over first 4 hours). Add K 20mmol/hour
when passing urine. Change to 1/2NS + 5% dextrose + 40mmol KCL
when BSL < 16.5
Use of insulin is controversial as may cause too rapid correction of
hyperosmolality. I would use low dose insulin at 0.1U/kg and
monitor BSL and osmolality Q2H. BSL should not be reduced
below 14mmol/L until mental state and hyperosmolarity
corrected.
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Reference for HHS: UpToDate
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Case 2 85F
Arterial
FIO2 1.0
pH 7.186 7.35-7.43
pO2 87.5 69-116
pCO2 37.8 32-45
BXS -12.9 -2 - +2
HCO3 13.7 22-26
Na 139 136-146
K 9.4 3.5-5.0
Cl 117 99-106
Glucose 8.6 3.9-5.8
Lactate 0.6 0.5-1.6
Hb 124 130-180
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Case 2 85F
Arterial
FIO2 1.0
pH 7.186 7.35-7.43
pO2 87.5 69-116
pCO2 37.8 32-45
BXS -12.9 -2 - +2
HCO3 13.7 22-26
Na 139 136-146
K 9.4 3.5-5.0
Cl 117 99-106
Glucose 8.6 3.9-5.8
Lactate 0.6 0.5-1.6
Hb 124 130-180
Before we do any calculations look at the numbers,
give me a couple of diagnoses and tell me your
management
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Case 2 85F
Arterial
FIO2 1.0
pH 7.186 7.35-7.43
pO2 87.5 69-116
pCO2 37.8 32-45
BXS -12.9 -2 - +2
HCO3 13.7 22-26
Na 139 136-146
K 9.4 3.5-5.0
Cl 117 99-106
Glucose 8.6 3.9-5.8
Lactate 0.6 0.5-1.6
Hb 124 130-180
Life threatening
hyperkalaemia
Hypoxia
Severe acidosis with poor
respiratory compensation ?
Decr LOC
Salbutamol
Calcium gluconate
ECG
Repeat K+ sample
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Most important thing
Life threatening hyperK: 9.4
Needs to be confirmed and simultaneously treated
●safe to start a salbutamol neb while ECG and repeat gas is
being done
Other treatment options? What would you do?
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Anion Gap
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Anion Gap
Anion Gap = Na - (HCO3 + Cl)
= 139 - (13.7 + 117)
= 8.3 (N < 15)
NAGMA
Hyperchloraemic metabolic acidosis
●Diuretics
●Renal disease
oclassically Renal Tubular Acidosis
orenal failure
●GI losses
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Predicted Respiratory Compensation
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Predicted Respiratory Compensation
pCO2 = 1.5 x HCO3 + 8
= 28.5
Measured CO2 is 37.8 so some respiratory acidosis (eg
pneumonia, decr LOC) (driving the CO2 up) and/or
metabolic alkalosis (eg vomiting) (driving the HCO3 down)
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A-a Gradient
A = 713 x FIO2 - pCO2 x 1.25
= 713 - 47.25
= 665.75
A-a = 665.75 - 87.5
= 578 (N = age/4 +4
= 25)
= bad!
Despite a SaO2 of 96%
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Conclusion
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Conclusion
Life threatening hyperkalaemia
Marked NAGMA / hyperchloraemic metabolic acidosis
Acidosis and hyperK likely to be on the basis of renal failure
The hyperK needs urgent treatment and confirmation
Find cause of renal failure: Hx, examination and further
examination
If appears volume depleted she needs replacement with K
free crystaloid till euvolaemic
Likely to need urgent dialysis if she is a candidate
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Significant pulmonary pathology needs to be addressed based
on further assessment.
Prognosis: poor.
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Case 3: 3 year old with tachypnoea
Venous
FIO2 0.21
pH 7.22 7.35-7.43
pO2 48 69-116
pCO2 24 32-45
BXS -2 - +2
HCO3 10 22-26
Na 139 136-146
K 1.9 3.5-5.0
Cl 118 99-106
Glucose 4.1 3.9-5.8
Lactate 2.5 0.5-1.6
Hb 107 130-180
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Case 3: 3 year old with tachypnoea
Venous
FIO2 0.21
pH 7.22 7.35-7.43
pO2 48 69-116
pCO2 24 32-45
BXS -2 - +2
HCO3 10 22-26
Na 139 136-146
K 1.9 3.5-5.0
Cl 118 99-106
Glucose 4.1 3.9-5.8
Lactate 2.5 0.5-1.6
Hb 107 130-180
NB venous
Hypokalaemia ? Secondary to B2 agonist
Or diarrhoeal illness
Needs oxygen
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Most important finding
Life threatening hypoK
Needs to be immediately confirmed and treated
IV KCL max 0.4mg/kg/hour with ECG monitoring
Estimated weight 14kg (2(age+4))
KCL 5.6mmol/hour
Will get onto how to do that.
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Anion gap
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Anion gap
AG = Na - (HCO3 + Cl)
= 139 - (10 + 118)
= 11
= N
NAGMA / Hyperchloraemic metabolic acidois
●Diuretics
●GIT loss
●Renal disease
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What's going on and what are you going to do?
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What's going on and what are you going to do?
Probable gastroenteritis with life threatening hypokalaemia.
Mx (lots of ways to do it)
If really shocked IV boluses eg Hartmann's (K = 5mmol/L) 20mmol/kg boluses
till clinically intravascularly euvolaemic.
Then
Eg 20mmolKCL in 1/2NS + 5% dextrose run at double maintenance
(Maintenance = 4ml/kg for 1st 10kg + 2ml/kg for next 10kg + 1ml/kg
thereafter, (but in Alice they use 5ml/kg if under ) 40 + 8 ml/hour. Double
maintenance = 96ml/hour
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Alternatively (RCH): 250ml/hour NS + KCL 20mmol/L for first 6 hours
if severely dehydrated (=5mmolKCL/hour), or 150ml/kg thereafter
Alternatively (CC) 280ml boluses of Hartmann's if shocked. Then or
otherwise: 250 0r 150ml/hour (depending on severity) NS + 5%
Dextrose + KCL 20mmol/L. Offer ORS. Stop IV fluid when taking >
10ml/kg/hour ORS.
ORS (liquid or icy pole) contains KCL 20mmol/kg.
Ondansetron 2mg SL wafer or IV
See http://sites.google.com/a/emergency-medicine-
tutorials.org/www/Home/medical-
3/gastroenterology/gastroenteritis
Also note anaemia - probably nutrition related, needs further
assessment and mx.
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Case 4 78F SOB
Arterial
FIO2 0.21
pH 7.421 7.35-7.43
pO2 41.9 69-116
pCO2 50.8 32-45
BXS 7.8 -2 - +2
HCO3 32.4 22-26
Na 140 136-146
K 2.7 3.5-5.0
Cl 99 99-106
Glucose 6.0 3.9-5.8
Lactate 0.9 0.5-1.6
Hb 104 130-180
![Page 45: Blood gases. Worked examples](https://reader034.fdocuments.us/reader034/viewer/2022052223/55987c161a28ab69638b45b6/html5/thumbnails/45.jpg)
Is there an acid base disorder present? If so what?
No acidaemia or alkalaemia but probably respiratory acidosis (low HCO3, high CO2 and
hypoxia (or could be metabolic alkalosis with full compensation - but hypoxia
suggests respiratory process and don't usually get full compensation for metabolic
acidosis).
Compensation for respiratory acidosis:
●acute: HCO3 1mmol/10mmHg pCO2 above 40
●chronic: HCO3 4mmol/10mmHg pCO2 above 40
pO2 50.8 so max HCO3 should be 24 +4 = 28
Measured (actually, calculated) HCO3 = 32.4
So some other process driving HCO3 higher or pCO2 lower
●metabolic alkalosis eg vomiting, diuretics
●acute respiratory alkalosis eg acute respiratory compensation on back ground of
chronic respiratory disease
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Other disorder?K = 2.7
Most common causes diuretics and GIT loss
● Decreased intake
o rare
● Redistribution
o Alkalaemia (think of cells pumping out H in exchange for K to correct alkalaemia)
o Insulin
o Beta agonists - eg salbutamol - quite likely in this patient
o Thyrotoxic periodic paralysis
o Familial hypokalaemic periodic paralysis
o Aldosterone excess
● Loss
oGIT
especially vomiting to give alkalosis
o Renal
Diuretics
Hyperaldosteronism
Primary
Secondary
Renal hypoperfusion
CCF
Renal artery stenosis
CRF
Liver disease (splanchnic shunting through varices)
Post ATN
Renal tubular acidosis
Bartters
hypoMag
Leukaemias
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HypoK
Most likley secondary to any or all of:
●Alkalosis
●Salbutamol
●Diuretics
●Vomiting
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A-a gradient
Patient on room air oops!
A = 150 - 50.8 x 1.25
= 86.5
A-a = 86.5 - 41.9
= 44.6 N = age/4 +4
= 23
![Page 49: Blood gases. Worked examples](https://reader034.fdocuments.us/reader034/viewer/2022052223/55987c161a28ab69638b45b6/html5/thumbnails/49.jpg)
Conclusion
Severely unwell patient who requires oxygen.
She has hypoxic and hypercapnic respiratory failure.
She is not acidaemic or alkalaemic probably on the basis of a compensated
chronic respiratory acidosis + another process eg
●metabolic alkalosis from vomiting or diuretics (also causing hypo K)
●acute respiratory acidosis
She is hypokalaemic from eg
●vomiting
●diuretics
●alkalosis
●salbutamol
She needs urgent correction of her hypoxia as first line therapy. She is likely
to require ventilatory support. Her K needs to be corrected.
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Case 5. 71F with persistent vomiting
Arterial
FIO2 0.21
pH 7.671 7.35-7.43
pO2 28.2 69-116
pCO2 43 32-45
BXS 25.7 -2 - +2
HCO3 49.1 22-26
Na 129 136-146
K 1.9 3.5-5.0
Cl 71 99-106
Glucose 6.0 3.9-5.8
Lactate 1.8 0.5-1.6
Hb 136 130-180
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A-a gradient
A = 150 - 43 x 1.25
= 96.25
A - a = 96.25 - 28.8
= 67.45 (N = age/4 + 4 = 21.75)
Severe A-a gradient
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Acid base disorder
Metabolic alkalosis
Causes
Most common GIT loss (vomiting) or diuretics
Chloride responsive
● GI loss
●Diuretics
●Chloride wasting disease
o cystic fibrosis
Non-chloride responsive
●hyperaldosteronism
oExpect hyperNa and hypoK
oeg renal artery stenosis, CCF, liver failure, nephrotic syndrome
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Compensation for metabolic alkalosis
Expected PCO2 = 0.9 [HCO3] + 9
= 0.9 x 49.1 + 9
= 53
Measured 43
So probable respiratory alkalosis also, especially as severely
hypoxic.
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Severe hypoK: 1.9
Likely to be as a result of vomiting
●Kidneys retain H at expense of K
Needs urgent correction and cardiac monitoring
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Hyponatraemia: 129
Likely to be due to vomiting
Usually classified as
●Spurious
●Hypertonic
oHyperglycaemia, Mannitol
●Hypotonic
oHypovolaemic
Decr intake or loss eg GI loss, 3rd spacing, burns
oEuvolaemic
SIADH, Drugs, Glucocorticoid deficiency, Excess water
intake (psych, potomania, novice athletes)
oHypervolaemic
renal failure, cirrhosis, nephrotic syndrome, CCF
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Hyponatraemia does NOT need urgent correction
Criteria for urgent correction
●Na ~< 115 and
oSeizure or
oComa or
ofocal neurological deficit
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Estimated Osmolality
2Na + glucose + urea = 158 + 6.0 + urea
= 164 + urea
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Conclusion
Severe hypoxaemia requiring oxygen and probably ventilatory
support.
Hypoxaemia likley to be as a result of aspiration from
vomiting and exacerbated by respiratory compensation for
metabolic alkalosis
Given Hx of persistent vomiting, vomiting is probable cause of
metabolic alkalosis.
Needs volume, Na, Cl and K replacement eg NS + 40mmolKCL/
1 hour with cardiac monitoring
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Case 6 74M SOB
Arterial
FIO2 0.21
pH 7.49 7.35-7.43
pO2 38.4 69-116
pCO2 26.7 32-45
BXS -2.8 -2 - +2
HCO3 20.1 22-26
Na 139 136-146
K 4.2 3.5-5.0
Cl 108 99-106
Glucose 6.2 3.9-5.8
Lactate 1.4 0.5-1.6
Hb 121 130-180
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Respiratory alkalosis
Predicted HCO3 drop
●acute 2 for each 10mmHg pCO2 below 40
●chronic 5 for each 10mmHg pCO2 below 40 minimum HCO3
12-15 after 2-3 days.
Predicted HCO3 drop 1.5 - 6.5 -> 22.5-17.5
Measured = 20.1 So probably full compensation and single
process depending on chronicity
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A-a gradient
A = 150 - 26.7 x 1.25
= 116.6
A-a = 116.6 - 38.4
= 78 (N = age/4 +4 = 22.5)
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Anion Gap
139 - (20.1 + 108) = 10.9
= N
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Conclusion
Severe hypoxic respiratory failure.
Patient requires oxygen and treatment of underlying process