Physics: Temperature and Gas Laws
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Questions and Answers

What is the formula to convert Fahrenheit to Celsius?

°C = (°F - 32) / 1.8

What is the formula for Cardiac Output (QT)?

QT = SV x HR

What is the formula for Stroke Volume (SV)?

SV = QT / HR

What is Boyle's Law?

<p>(P1 x V1) = (P2 x V2)</p> Signup and view all the answers

What is Charles' Law?

<p>V1/T1 = V2/T2</p> Signup and view all the answers

What is Gay-Lussac's Law?

<p>(P1/T1 = P2/T2)</p> Signup and view all the answers

What does the Ideal Gas Law state?

<p>(P1 x V1)/T1 = (P2 x V2)/T2</p> Signup and view all the answers

What is the formula for the partial pressure of oxygen in the atmosphere?

<p>PiO2 = FiO2 x PB</p> Signup and view all the answers

How do you calculate the subtraction of water vapor pressure at 37 degrees when fully saturated?

<p>H2O vapor saturated - Body humidity = 47mm Hg or 43.8mg/L</p> Signup and view all the answers

What is the formula for the partial pressure of oxygen in the lungs?

<p>PIO2 = FIO2 x PB</p> Signup and view all the answers

What is the formula for Total Cycle Time (TCT)?

<p>TCT = 60/RR</p> Signup and view all the answers

What does the I:E Ratio represent?

<p>1: Te/Ti</p> Signup and view all the answers

What does the Inverse I:E Ratio indicate?

<p>Inspiratory time is more than expiratory time. Ti/Te :1</p> Signup and view all the answers

What are the formulas for Inspiratory Time (Ti) and Expiratory Time (Te)?

<p>Ti = TCT/#, Te = TCT - Ti</p> Signup and view all the answers

What is the formula for Static Compliance (Cs)?

<p>Cs = Vt/Plat - PEEP</p> Signup and view all the answers

What is the formula for Dynamic Compliance (Cd)?

<p>Cd = Vt/PIP - PEEP</p> Signup and view all the answers

How is Relative Humidity (%RH) calculated?

<p>%RH = (Absolute humidity)/(Humidity capacity) x 100</p> Signup and view all the answers

To find the total flow of a venture mask system, you need to add both parts of the Air:O2 ratio together and multiply by the given oxygen flow set. What is this total flow called?

<p>Total flow</p> Signup and view all the answers

What is the formula for the Oxygen Entrainment Ratio?

<p>Air/O2 = (100 - Desired O2)/(Desired O2 - 21*)</p> Signup and view all the answers

What is Minute Ventilation (Ve) calculated as?

<p>Ve = RR x VT</p> Signup and view all the answers

How is the Peak Inspiratory Flow (Vi) determined?

<p>Vi = Ve (3)</p> Signup and view all the answers

What is the formula for Tank Duration of Flow for an H Tank?

<p>Cylinder pressure (psi) x Cylinder factor / Flow rate of gas (L/min), H tank = 3.14</p> Signup and view all the answers

What is the formula for Duration of Flow for an E Tank?

<p>{Cylinder pressure (psi)} x {Cylinder factor}/{Flow rate of gas (L/min)}, E tank = 0.28</p> Signup and view all the answers

What is the Ideal Body Weight Formula (IBW) in pounds for adult males?

<p>Male: 106 + (height - 60 x 6)</p> Signup and view all the answers

What is the Ideal Body Weight Formula (IBW) in kilograms for adult males?

<p>Men: 50 + 2.3 x (Ht - 60)</p> Signup and view all the answers

What does a 1% solution equate to in terms of mg?

<p>1g = 1000mgs in 100ml, 10mg/ml</p> Signup and view all the answers

How do you calculate the mg/ml for a 10% solution?

<p>10g = 10000mg/100ml = 100mg/ml</p> Signup and view all the answers

What is the mg/ml for a 1:10000 solution?

<p>0.1mg/1ml</p> Signup and view all the answers

What is the formula established for Anatomic Deadspace?

<p>1ml per pound of body weight</p> Signup and view all the answers

What is the Physiologic Deadspace (Bohr Equation)?

<p>Vd/Vt = PaCO2 - PeCO2/PaCO2</p> Signup and view all the answers

What is the formula for Alveolar Ventilation (Va)?

<p>Va = Ve - Vd</p> Signup and view all the answers

How is % Predicted calculated?

<p>% Predicted = (Actual FVC/Predicted FVC) X 100</p> Signup and view all the answers

What is the formula for calculating % Change?

<p>% Change = (Post value - Pre value)/ Pre value X 100</p> Signup and view all the answers

What is the definition of Patient Effort in respiratory terms?

<p>FEV1 x 35</p> Signup and view all the answers

What is the Ideal Alveolar Gas Equation (PAO2)?

<p>PAO2 = [PB - PH2O]FIO2 - PaCO2 (1.25)</p> Signup and view all the answers

What does Fick's Law describe?

<p>V (diffusion) gas = AD(P1 - P2)/T</p> Signup and view all the answers

What is the formula for Oxygen content of arterial blood (CaO2)?

<p>CaO2 = (Hb x 1.34 x SaO2) + (PaO2 x 0.003)</p> Signup and view all the answers

What is the formula for Oxygen Content of Pulmonary Capillary Blood (CcO2)?

<p>CcO2 = (Hb x 1.34) + (PAO2 x 0.003)</p> Signup and view all the answers

What is the formula for Oxygen content of mixed venous blood (CvO2)?

<p>CvO2 = (Hb x 1.34 x SvO2) + (PvO2 x 0.003)</p> Signup and view all the answers

What is the formula for pulmonary shunt (Qs/Qt)?

<p>Qs/Qt = % Pulmonary shunt CcO2 - CaO2/CcO2 - CvO2</p> Signup and view all the answers

How do you calculate total oxygen delivery (DO2)?

<p>DO2 = QT x (CaO2 x 10)</p> Signup and view all the answers

What is the formula for oxygen consumption (VO2)?

<p>VO2 = QT (CaO2 - CvO2) x 10</p> Signup and view all the answers

What is the Oxygen Extraction Ratio (O2ER)?

<p>ERO2 = (CaO2 - CVO2) / CaO2</p> Signup and view all the answers

How much dissolved oxygen is there in blood for each mmHg of PO2?

<p>0.003 ml O2 will dissolve in 100 ml of blood</p> Signup and view all the answers

What is Hemoglobin's carrying capacity and saturation?

<p>1.34ml of O2 per g%, 15g% = 100% Hb sat, 1.34 x 15 = 20.1 vol%</p> Signup and view all the answers

What is the formula for Airway Resistance (Raw)?

<p>Raw = PIP - PLAT/Flow</p> Signup and view all the answers

What is the formula for FIO2 when determining desired PaO2?

<p>FIO2 = PaO2 Desired x FiO2 known/ PaO2</p> Signup and view all the answers

What is the formula for Ve when determining desired PaCO2?

<p>Ve = Known PaCO2 x known Ve/Desired PaCO2</p> Signup and view all the answers

What is the formula for RR when determining desired PaCO2?

<p>RR = Known PaCO2 x known RR/Desired PaCO2</p> Signup and view all the answers

What is the formula for Vt when determining desired PaCO2?

<p>Vt = Known PaCO2 x known Vt (ml)/Desired PaCO2</p> Signup and view all the answers

What is Poiseuille's Law for Flow?

<p>Flow = Change in Pressure (P) x r^4</p> Signup and view all the answers

What is Poiseuille's Law for Pressure?

<p>Change in Pressure (P) = Flow/r^4</p> Signup and view all the answers

What is the formula for Time Constants (Tc)?

<p>Tc = Raw x Cd</p> Signup and view all the answers

Study Notes

Temperature Conversion

  • Fahrenheit (°F) can be converted to Celsius (°C) using the formula: °C = (°F - 32) / 1.8.

Cardiac Measurement

  • Cardiac Output (QT) is determined by multiplying Stroke Volume (SV) with Heart Rate (HR): QT = SV x HR.
  • Stroke Volume (SV) is calculated by dividing Cardiac Output by Heart Rate: SV = QT / HR.

Gas Laws

  • Boyle's Law states that the product of pressure (P) and volume (V) remains constant when temperature is unchanged: (P1 x V1) = (P2 x V2).
  • Charles' Law relates volume and temperature with a constant pressure: V1/T1 = V2/T2.
  • Gay-Lussac's Law connects pressure and temperature with a constant volume: P1/T1 = P2/T2.
  • The Ideal Gas Law combines pressure, volume, and temperature: (P1 x V1)/T1 = (P2 x V2)/T2.

Pressure and Humidity Calculations

  • The partial pressure of oxygen in the atmosphere is given by: PiO2 = FiO2 x PB.
  • To account for water vapor pressure at 37 degrees Celsius, the equation is: H2O vapor saturated - Body humidity = 47 mm Hg or 43.8 mg/L.
  • The partial pressure of oxygen in the lungs is calculated similarly: PIO2 = FIO2 x PB.

Respiratory Ratios and Timings

  • Total Cycle Time (TCT) can be calculated by dividing 60 by Respiratory Rate (RR): TCT = 60/RR.
  • The Inspiratory:Expiratory (I:E) Ratio is defined as 1: Te/Ti, and an inverse I:E ratio indicates longer inspiratory time compared to expiratory time: Ti/Te :1.
  • Inspiratory Time (Ti) can be calculated as Ti = TCT/#, while Expiratory Time (Te) is determined as Te = TCT - Ti.

Compliance Measurements

  • Static Compliance (Cs) can be calculated with the formula: Cs = Vt / (Plat - PEEP).
  • Dynamic Compliance (Cd) is calculated as: Cd = Vt / (PIP - PEEP).

Humidity and Flow Rates

  • Relative Humidity (%RH) is calculated by dividing absolute humidity by humidity capacity and multiplying by 100: %RH = (Absolute humidity)/(Humidity capacity) x 100.
  • The total flow of a venturi mask system can be derived by finding the sum of both Air:O2 ratios and multiplying by the oxygen flow set.

Oxygen Entrainment and Ventilation

  • The Oxygen Entrainment Ratio is determined using the equation: Air/O2 = (100 - Desired O2)/(Desired O2 - 21*), with a stipulation to use 20% if the desired O2 is greater than 35%.
  • Minute Ventilation (Ve) is calculated as: Ve = RR x VT.
  • Peak Inspiratory Flow (Vi) is determined using: Vi = Ve (3).

Flow Capacity and Duration

  • Tank duration for an H tank is calculated using: Cylinder pressure (psi) x Cylinder factor/Flow rate of gas (L/min) with H tank = 3.14.
  • For an E tank, it is: {Cylinder pressure (psi)} x {Cylinder factor}/{Flow rate of gas (L/min)} with E tank = 0.28.

Body Weight Calculations

  • The Ideal Body Weight formula in pounds: Male: 106 + (height - 60 x 6), Female: 105 + (height - 60 x 5).
  • In kilograms, the IBW formula is: Men: 50 + 2.3 x (Ht - 60), Women: 45.4 + 2.3 x (Ht - 60).

Solution Concentration

  • A 1% solution converts to 10 mg/ml, while a 10% solution equals 100 mg/ml.
  • A ratio such as 1:10000 translates to 0.1 mg/ml.

Deadspace and Ventilation Calculations

  • Anatomic Deadspace is approximately 1 ml per pound of body weight.
  • Physiologic Deadspace (Bohr Equation): Vd/Vt = (PaCO2 - PeCO2)/PaCO2, where Physiologic VD = Anatomic VD + Alveolar VD.
  • Alveolar Ventilation (Va): Va = Ve - Vd, or Va = (Vt - Vd) (RR).

Predicted Values

  • % Predicted: % Predicted = (Actual FVC/Predicted FVC) x 100.
  • % Change: % Change = (Post value - Pre value)/ Pre value x 100.

Oxygen and Hemoglobin Measurements

  • Oxygen content in arterial blood: CaO2 = (Hb x 1.34 x SaO2) + (PaO2 x 0.003).
  • Pulmonary shunt: Qs/Qt = % Pulmonary shunt = (CcO2 - CaO2)/(CcO2 - CvO2).
  • Fick's Law of diffusion: V (gas) = AD(P1 - P2)/T.

Other Oxygen Metrics

  • Total oxygen delivery (DO2): DO2 = QT x (CaO2 x 10).
  • Oxygen consumption/uptake (VO2): VO2 = QT (CaO2 - CvO2) x 10.
  • Oxygen Extraction Ratio (O2ER): ERO2 = (CaO2 - CVO2) / CaO2.

Airway Resistance and Optimization

  • Airway Resistance (Raw): Raw = (PIP - PLAT)/Flow, adjusting flow from L/min to L/sec for calculations.
  • Formulas for FIO2, Ve, RR, and Vt are provided to maintain desired arterial blood gas levels.

Poiseuille's Law

  • Flow is calculated as: Flow = Change in Pressure (P) x r^4.
  • Pressure can also be computed using: Change in Pressure (P) = Flow/r^4.

Time Constants

  • Time Constants (Tc): Tc = Raw x Cd, providing insight into respiratory mechanics.

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Description

This quiz covers essential concepts in physics, including temperature conversion between Fahrenheit and Celsius, cardiac measurements, and various gas laws. You will explore Boyle's Law, Charles' Law, Gay-Lussac's Law, and the Ideal Gas Law, as well as pressure and humidity calculations. Test your understanding of these fundamental principles!

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