Acid-Base Balance and Blood Gas Interpretation

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Acid-Base Balance and Blood Gas Interpretation

Electrolytes

II Law of Mass Action

The basic chemical and mathematical relationships involved in blood gas interpretation are based on the law of mass action (also referred to as the law of electrolyte dissociation or the law of chemical equilibrium).

The law of mass action states that when a weak electrolyte is placed into solution, only a small percentage of it dissociates, and the majority remains undissociated. Determining the product of the molar concentrations of the dissociated species and dividing that by the molar concentration of the undissociated weak electrolyte yields a dissociation constant for that weak electrolyte. This constant is true for the particular electrolyte at the temperature at which it was originally determined.

If the weak acid HA is placed into solution, it will reversibly dissociate to H+ and A (the negative ion formed wheneveH+ dissociates from an acid):

J=k[(PcapPis)(πcapπis)] (2)

HA image H+ + A (2)

If 0.01 mol/L of HA were added to solution and 5% of HA dissociated, the following quantities of all three species would exist in solution:

J=k[(PcapPis)(πcapπis)]

HA 95% of 0.01, or 0.0095 mol/L

J=k[(PcapPis)(πcapπis)]

H+5% of 0.01, or 0.0005 mol/L

J=k[(PcapPis)(πcapπis)]

A5% of 0.01, or 0.0005 mol/L

    Note: One H+ and one A are formed as every HA molecule dissociates.

According to the law of mass action:

K=[H+][A][HA] (3)

image (3)

    where K = the dissociation constant.

Inserting the molar concentrations of the individual species and calculating the dissociation constant yields the following:

0.0000263=[0.0005][0.0005][0.0095]

image

    Thus K = 2.63 × 10−5.

As explained in sections II and IV, the dissociation constant indicates the pH at which a buffer functions most efficiently.

The law of mass action applied to water is the basis for the pH scale.

1. Water (H2O) dissociates into H+ plus OH:

H2OH++OH (4)

image (4)

2. The molar concentration of H+ and OH is 10−7 mol/L.

3. Because the concentration of the undissociated water is so large compared with the [H+] and [OH], it is considered a constant:

[H+][OH]]KH2O=K (5)

image (5)

4. This relationship is frequently written as:

[H+][OH]]KH2O=K (6)

[H+][OH] = Kw (6)

    where Kw = the dissociation constant for H2O.

5. The value of Kw is

[H+][OH]]KH2O=K

[10−7][10−7] = 10−14

6. Thus a neutral solution is one with 10−7 moles of H+ per liter.

7. Because the H+ concentration can vary from 10−1 to 10−14 in this relationship, the limits of the pH scale are defined.

[H+][OH]]KH2O=K (7)

pH is equal to −log [H+] (7)

8. Therefore the pH scale goes from a pH of 1.0 ([H+] = 10−1 mol/L) to a pH of 14.0 ([H+] = 10−14 mol/L).

9. Remember the product of [H+] and [OH] must equal 10−14. As a result, as the [H+] increases, the [OH] decreases and vice versa.

The law of mass action when applied to carbonic acid (H2CO3) dissolved in plasma at 37° C yields the following:

The mathematical manipulation of the law of mass action results in the development of the Henderson-Hasselbalch equation, which is the basis for blood gas analysis.

III Henderson-Hasselbalch Equation (Standard Buffer Equation)

Derivation of the Henderson-Hasselbalch equation from equation 9:

1. Rearranging equation 9 and solving for [H+] results in the following:

[H+]=K[H2CO3][HCO3] (10)

image (10)

2. Taking the log to the base of 10 of each side of equation 10 yields the following:

log[H+]=log K+log[H2CO3][HCO3] (11)

image (11)

3. Multiplying each side of equation 11 by −1 yields the following:

log[H+]=log Klog[H2CO3][HCO3] (12)

image (12)

4. Rearranging log[H2CO3][HCO3]image in equation 12 yields the following:

log [H2CO3]()log [HCO3]=log [H2CO3]+log [HCO3]=log [HCO3]log [H2CO3]=+log[HCO3][H2CO3] (13)

image (13)

5. Inserting equation 13 in equation 12 yields the following:

log[H+=log K+log[HCO3][H2CO3] (14)

image (14)

6. −log H+ = pH and −log K is termed the pK (refer to section IV). Equation 14 is rewritten as:

pH=pK+log[HCO3][H2CO3] (15)

image (15)

7. Equation 15 is the classic buffer equation (see section V) as applied to the [HCO3]/[H2CO3] buffer system.

8. A universal representation of the classic buffer equation as applied to a weak acid electrolyte is:

pH=pKa+log[Conjugate base][Undissociated acid] (16)

image (16)

    where pKa is the pK of a weak acid electrolyte.

9. If the derivation were carried out for a weak basic electrolyte, the standard equation would be:

pOH=pKb+log[Conjugate acid][Undissociated base] (17)

image (17)

10. However, the types of buffer systems used in describing pulmonary physiology are all weak acid electrolytes.

IV pK (−Log of the Dissociation Constant)

Buffers

A buffer is a weak acidic or basic electrolyte that has the capability of determining the pH of a solution.

Buffers are used to prevent significant changes in a solution pH.

One should always choose a buffer whose pK is numerically near the pH of the solution to be buffered.

Chemical functioning of buffers:

1. If the buffer HA from section II is titrated into solution until the pH of the solution is equal to the pK of the buffer, an ideally buffered solution is established. The pK of this system is 4.58 (−log of 2.63 × 10−5, see section II-F).

2. After titration, the final concentrations of HA and A are equal to 0.01. Thus the classic buffer equation would be

pH=pK+log[A]HA (18)

image (18)

    or

4.58=4.58+log0.010.01

image

    Note: The log of 0.01/0.01 is 0.

3. If acid is added to this buffer, it reacts with the conjugate base (A) and forms more undissociated acid (HA):

4.58=4.58+log0.010.01 (19)

A + H+ → HA (19)

    This should result in only a minimal change in the pH.

4. If base is added to a buffer, it reacts with free H+, allowing more HA to dissociate:

pH=4.58+log0.010.0010.01+0.001or0.0090.011 (21)

H+ + OH → H2O (21)

    causing the following:

pH=4.58+log0.010.0010.01+0.001or0.0090.011 (22)

HA → H+ + A (22)

    resulting in a minimal change in the pH.

VI The HCO3/H2CO3 Buffer System

The most important buffer system in the body is the HCO3/H2CO3 system:

pH=pK+logHCO3H2CO3or (23)

image (23)

The pK of this system is 6.1 (K = 7.85 × 10−7).

Arterial [HCO3] is approximately 24 mEq/L.

Arterial [H2CO3] is approximately 1.2 mEq/L.

Thus arterial pH is approximately 7.4:

7.4=6.1+24mEq/L1.2mEq/L

image

The ratio of HCO3 to H2CO3 is 20:1:

HCO3H2CO3=241.2=201

image

If this ratio increases (30:1), the arterial pH increases.

If this ratio decreases (10:1), the arterial pH decreases.

Clinically HCO3 and H2CO3 concentrations are extremely time consuming and costly to determine.

In this buffer system [HCO3] is regulated and controlled by the kidney, and Pco2 is regulated and controlled by the lung with the pH a result of [HCO3] and Pco2.

The HCO3/H2CO3 buffer system in blood is a poor chemical buffer.

1. This is true because of the pK (6.1) of the buffer in relation to the pH (7.4) of the arterial blood.

2. The pH of blood is outside the chemical buffering range of the HCO3/H2CO3 system.

3. However, this system is considered an essential physiologic buffer (i.e., the lungs can control the excretion or retention of large quantities of acid in the form of CO2).

4. The following reversible reaction illustrates the relationship:

CO2+H2OH2CO3H++HCO3 (25)

image (25)

5. If there is an increase in H+, the reaction is shifted to the left, increasing plasma CO2 levels, which are exhaled.

6. If there is a decrease in H+, the reaction is shifted to the right, decreasing plasma CO2 levels.

7. The effectiveness of HCO3 administration in the face of metabolic acidosis is based on equation 25 shifting to the left, allowing acid to be exhaled as CO2. If ventilation cannot eliminate the increased CO2 produced, the acidosis changes from metabolic to respiratory.

VII Actual Versus Standard HCO3

VIII Base Excess/Base Deficit

The total buffering capacity of the body can be broken down approximately as follows (Box 15-1):

BOX 15-1   Primary Body Buffer Systems

Bicarbonate/carbonic acid* HCO3/H2CO3
Dibasic/monobasic phosphate HPO4−2/H2Po4
Ammonia/ammonium ion NH3/NH4+
Hemoglobin/hemoglobin ion Hb/HHb+
Serum protein/protein ion Prot/HProt

*Poor chemical buffer but essential physiologic buffer.

Of the total body buffers, HCO3 and all proteins (including hemoglobin) are the most important.

These two systems may be chemically depicted as follows:

CO2+H2OH2CO3HCO3+H+ (26)

image (26)

H ProtH++Prot (27)

image (27)

If a respiratory acidosis were to develop, the reaction shown in equation 26 would be driven to the right, causing an equal shift of the reaction shown in equation 27 to the left. As a result, the total amount of base in the body would remain unchanged.

If a respiratory alkalosis were to develop, the reaction shown in equation 26 would be driven to the left, causing an equal shift of the reaction shown in equation 27 to the right. As a result, the total amount of base in the body would remain unchanged.

The sum of [HCO3] + [Prot] is the buffer base (BB), which (as demonstrated in sections VIII-D and VIII-E) remains unchanged in all pure acute respiratory acid-base disturbances.

However, if metabolic acid is added to the body, the reactions shown in equations 26 and 27 would be driven to the left, and the quantity of BB would decrease; if metabolic base were added to the body, both reactions (26 and 27) would be driven to the right, and the quantity of BB would increase.

Base excess/base deficit (BE/BD) is defined as the actual BB minus the normal BB:

H ProtH++Prot (28)

BE/BD = actual BB − normal BB (28)

In all pure acute respiratory acid-base disturbances, the BE/BD is normal. However, once compensation occurs, the BE/BD becomes positive or negative.

All metabolic acid-base disturbances are accompanied by a change in the BE/BD.

The BE/BD is the most reliable index of metabolic acid-base disorders.

The normal BE/BD is zero, with a range of ±2 mEq/L. The normal total BB is 54 mEq/L.

IX Normal Ranges for Blood Gases

Absolute normals: Arterial blood (mean population values):

Normal ranges: Arterial blood (±2 SDs from the population mean):

Absolute normals: venous blood (mean population values):

Normal range of neonatal arteriolized capillary blood

Mathematical Interrelationships Between pH, Pco2, and HCO3

XI Compensation for Primary Acid-Base Abnormalities

XII Estimation of pH Changes Based Purely on Pco2 Changes

Because the pK of the HCO3/H2CO3 system is 6.10 and the quantity of HCO3 is 20 times greater than the quantity of H2CO3, the body buffers acid more efficiently than base.

If starting at a baseline pH of 7.40 and a Pco2 of 40 mm Hg, for every 10-mm Hg Pco2 increase there is an approximate 0.05-pH unit decrease:

If starting at a baseline pH of 7.40 and a Pco2 of 40, for every 10-mm Hg Pco2 decrease there is an approximate 0.10-pH unit increase:

XIII Interpretation of Arterial Blood Gases

XIV Interpretation of Acid-Base Status

Table 15-1 lists ranges for interpretation of blood gases.

TABLE 15-1

Blood Gas Interpretation

Status pH PCO2 HCO3 Base Excess
Respiratory acidosis
Uncompensated ↓ 7.35 ↑ 45 Normal Normal
Partially compensated ↓ 7.35 ↑ 45 ↑ 27 ↑ +2
Compensated 7.35-7.45 ↑ 45 ↑ 27 ↑ +2
Respiratory alkalosis
Uncompensated ↑ 7.45 ↓ 35 Normal Normal
Partially compensated ↑ 7.45 ↓ 35 ↓ 22 ↓ − 2
Compensated 7.40-7.45 ↓ 35 ↓ 22 ↓ − 2
Metabolic acidosis
Uncompensated ↓ 7.35 Normal ↓ 22 ↓ − 2
Partially compensated ↓ 7.35 ↓ 35 ↓ 22 ↓ − 2
Compensated 7.35-7.40 ↓ 35 ↓ 22 ↓ − 2
Metabolic alkalosis
Uncompensated ↑ 7.45 Normal ↑ 27 ↑ +2
Partially compensated* ↑ 7.45 ↑ 45 ↑ 27 ↑ +2
Compensated* 7.40-7.45 ↑ 45 ↑ 27 ↑ +2
Combined respiratory and metabolic acidosis ↓ 7.35 ↑ 45 ↓ 22 ↓ − 2
Combined respiratory and metabolic alkalosis ↑ 7.45 ↓ 35 ↑ 27 ↑ − 2

image

*Partially compensated or compensated metabolic alkalosis generally is rarely seen clinically because of the body’s mechanism to prevent hypoventilation.

The terminology used is uncompensated, partially compensated, and compensated.

Approach to blood gas interpretation (see Table 15-1)

1. Determine whether the pH is within the normal range

2. Determine whether the Pco2 is normal or abnormal

a. If the Pco2 is normal and:

b. If the Pco2 is higher than normal and:

c. If the Pco2 is lower than normal and:

d. Combined respiratory and metabolic acidosis or combined respiratory and metabolic alkalosis also can occur.

e. Figure 15-1 lists an algorithm for the interpretation of arterial blood gases.

XV Assessment of Level of Hypoxemia

For patients who are breathing room air and who are <60 years of age:

For individuals <60 years of age, 1 mm Hg should be subtracted from the lower limits of mild and moderate hypoxemia for each year <60. At any age a Po2 <40 mm Hg indicates severe hypoxemia, and a Po2 <60 to 65 is always considered hypoxemic.

More precisely acceptable lower limits for Po2 can be determined by the following (at sea level):

Patients with FIO2 <0.21

XVI Assessment of Tissue Hypoxia

XVII Acute Respiratory Failure

XVIII Acute Ventilatory Failure

XIX Clinical Causes of Acid-Base Abnormalities

Respiratory acidosis primary causes:

Respiratory alkalosis: Primary causes:

Metabolic acidosis

1. Primary causes

a. Lactic acidosis

b. Ketoacidosis

c. Renal failure (see Chapter 13)

d. Ingestion of base-depleting drugs or acids

e. Hypoaldosteronism

f. Potassium-sparing diuretics

g. Diarrhea

h. Pancreatic or biliary fistulas, ureterosigmoidostomy

i. Carbonic anhydrase inhibitors: acetazolamide

j. Excessive intake of ammonium chloride, cationic anion acids

Metabolic alkalosis

XX Mixed Venous Blood Gases

Pimageo2, % Hbimageo2, and Cao2 − Cimageo2 levels are reflective of the adequacy of O2 delivery to peripheral tissue.

Alterations in these values may be caused by:

All are predictive of alterations in CO if O2 content, tissue metabolism, and peripheral distribution of CO are unaltered.

A decrease in Pimage and % Hbimage and an increase in CaO2 − Cimage are indicative of a decrease in CO relative to tissue demands and may be used as a reflection of cardiovascular reserve (Table 15-2).

TABLE 15-2

Mixed Venous Blood Gas Values During Various Levels of Cardiovascular Stress

  CaO2 − Cimageo2 (vol%) Pimageo2 (mm Hg) % Hbimageo2
Status Average Range Average Range Average Range
Normal 5.0 3.4-6.0 40 37-43 75 70-76
Critically ill but stable 3.5 2.5-4.5 37 35-40 70 68-75
Critically ill with limited reserve 5.0 4.5-6.0 32 30-35 60 56-68
Cardiovascularly decompensated >6.0 >6.0 <30 <30 <56 <56

image

For maximum accuracy these values must be obtained from a pulmonary artery catheter. This is necessary because peripheral venous blood is reflective of only local events, whereas pulmonary artery values reflect means of all tissue beds.

Many pulmonary artery catheters use oximetry to continuously monitor percentage of Hbimageo2 or Pimageo2. Some believe the percentage of Hbimageo2 or Pimageo2 is best used as an early indicator of a cardiovascular incident resulting in altered O2 delivery.

XXI Estimation of Base Excess/Base Deficit

XXII Calculation of Bicarbonate Administration

XXIII Calculation of Ammonium Chloride (NH3Cl) or Dilute Hydrochloric Acid (HCl) Administration

XXIV Typical Blood Gas Contaminants

Heparin

1. Sodium heparin is commonly used to prevent coagulation of arterial blood to be used for blood gas analysis.

2. Ammonium heparin may affect pH even in small quantities.

3. Normal pH of sodium heparin is 6.0 to 7.0.

4. Concentration used is 1000 units/ml.

5. Pco2 of sodium heparin is <2 mm Hg.

6. Po2 of sodium heparin is approximately 159 mm Hg.

7. Normally 0.05 ml of heparin/ml of blood should be used for anticoagulation.

8. If the concentration or volume of heparin used is above this level:

9. If insufficient heparin levels are used:

10. The problem of heparin contamination today is rare because most blood gas syringes come preheparinized and do not require the clinician to add fluid.

Saline and other intravenous solutions alter blood gas values in a manner similar to that of heparin except that the pH may also increase.

Air bubbles