Input interpretation
![respiratory quotient](../image_source/304980696822f928076798107703b950.png)
respiratory quotient
Equation
![RQ = (iPO_2 - PAO_2)/PaCO_2 | RQ | respiratory quotient PAO_2 | partial pressure of alveolar oxygen iPO_2 | partial pressure of inspired oxygen PaCO_2 | partial pressure of arterial carbon dioxide](../image_source/d6ad2792d759b7d2b6cf6a3fe51d1be2.png)
RQ = (iPO_2 - PAO_2)/PaCO_2 | RQ | respiratory quotient PAO_2 | partial pressure of alveolar oxygen iPO_2 | partial pressure of inspired oxygen PaCO_2 | partial pressure of arterial carbon dioxide
Input values
![partial pressure of alveolar oxygen | 120 mmHg (millimeters of mercury) partial pressure of inspired oxygen | 150 mmHg (millimeters of mercury) partial pressure of arterial carbon dioxide | 40 mmHg (millimeters of mercury)](../image_source/48d455e0f58abfdfaf24901826db337b.png)
partial pressure of alveolar oxygen | 120 mmHg (millimeters of mercury) partial pressure of inspired oxygen | 150 mmHg (millimeters of mercury) partial pressure of arterial carbon dioxide | 40 mmHg (millimeters of mercury)
Results
![respiratory quotient | 0.75 (normal value≈0.8)](../image_source/9686bb41494febfce898cafa5ca1cba8.png)
respiratory quotient | 0.75 (normal value≈0.8)
Possible intermediate steps
![Calculate the respiratory quotient using the following information: known variables | | PAO_2 | partial pressure of alveolar oxygen | 120 mmHg iPO_2 | partial pressure of inspired oxygen | 150 mmHg PaCO_2 | partial pressure of arterial carbon dioxide | 40 mmHg The relevant equation that relates respiratory quotient (RQ), partial pressure of alveolar oxygen (PAO_2), partial pressure of inspired oxygen (iPO_2), and partial pressure of arterial carbon dioxide (PaCO_2) is: RQ = (iPO_2 - PAO_2)/PaCO_2 Substitute known variables into the equation: known variables | | PAO_2 | partial pressure of alveolar oxygen | 120 mmHg iPO_2 | partial pressure of inspired oxygen | 150 mmHg PaCO_2 | partial pressure of arterial carbon dioxide | 40 mmHg | : RQ = (150 mmHg - 120 mmHg)/(40 mmHg) Cancel the units in (150 mmHg - 120 mmHg)/(40 mmHg): RQ = (150 - 120)/40 Evaluate (150 - 120)/40: Answer: | | RQ = 0.75](../image_source/949e526bfbcfbe0aee668fdb569205cf.png)
Calculate the respiratory quotient using the following information: known variables | | PAO_2 | partial pressure of alveolar oxygen | 120 mmHg iPO_2 | partial pressure of inspired oxygen | 150 mmHg PaCO_2 | partial pressure of arterial carbon dioxide | 40 mmHg The relevant equation that relates respiratory quotient (RQ), partial pressure of alveolar oxygen (PAO_2), partial pressure of inspired oxygen (iPO_2), and partial pressure of arterial carbon dioxide (PaCO_2) is: RQ = (iPO_2 - PAO_2)/PaCO_2 Substitute known variables into the equation: known variables | | PAO_2 | partial pressure of alveolar oxygen | 120 mmHg iPO_2 | partial pressure of inspired oxygen | 150 mmHg PaCO_2 | partial pressure of arterial carbon dioxide | 40 mmHg | : RQ = (150 mmHg - 120 mmHg)/(40 mmHg) Cancel the units in (150 mmHg - 120 mmHg)/(40 mmHg): RQ = (150 - 120)/40 Evaluate (150 - 120)/40: Answer: | | RQ = 0.75