# Pulmonary Shunt Fraction (Qs/Qt)

Calculate Qs/Qt = (CcO₂ − CaO₂)/(CcO₂ − CvO₂). PAO₂ from alveolar gas equation. Normal <5%; >20% severe shunt refractory to O₂. Defaults SvO₂=0.75, PvO₂=40 when mixed-venous values unavailable. Derived from Berggren 1942, StatPearls, LITFL, West. Not medical advice.

> Canonical page: https://elysiatools.com/en/tools/shunt-equation

- **Category:** Health

- **Keywords:** shunt fraction, qs qt, pulmonary shunt, oxygen content, cao2, cvo2, ards, hypoxemia, right to left shunt, oxygenation, critical care, pulmonology

## Overview

The Pulmonary Shunt Fraction (Qs/Qt) calculator estimates the proportion of blood bypassing effective pulmonary gas exchange from hemoglobin, arterial blood gas, oxygen saturation, inspired oxygen, and optional mixed-venous values. It calculates PAO₂ with the alveolar gas equation and reports Qs/Qt, oxygen contents, and a shunt category. This tool is for education and clinical reference, not medical advice.

## Inputs

- **Hemoglobin (g/dL)** (number): Hemoglobin concentration (g/dL).
- **PaO₂ (mmHg)** (number): Arterial PO₂ (mmHg) from ABG.
- **SaO₂ (arterial O₂ sat, fraction)** (number): Arterial oxygen saturation as a fraction (0–1, e.g. 0.92 = 92%).
- **PvO₂ (mixed venous PO₂, mmHg)** (number): Mixed venous PO₂ (mmHg) from PA catheter. Default 40 if not measured.
- **SvO₂ (mixed venous O₂ sat, fraction)** (number): Mixed venous oxygen saturation as a fraction (0–1). Default 0.75 if not measured.
- **PaCO₂ (mmHg)** (number): Arterial PCO₂ (mmHg) from ABG, used to derive PAO₂.
- **FiO₂ (inspired oxygen fraction)** (number): Inspired oxygen fraction. Use 1.0 for the 100%-O₂ shunt test; 0.21 for room-air estimate.
- **Atmospheric Pressure (mmHg, optional)** (number): Atmospheric pressure (mmHg). Default 760 at sea level.
- **Decimal Places** (number)

## When to use

- Estimate pulmonary shunt fraction from arterial blood gas and oxygenation data.
- Assess oxygenation during a room-air estimate or a 100%-oxygen shunt test.
- Review how hemoglobin, arterial saturation, and mixed-venous values affect oxygen content and Qs/Qt.

## How it works

- Enter hemoglobin, PaO₂, SaO₂, PaCO₂, and FiO₂; FiO₂ defaults to 1.0.
- The calculator derives alveolar oxygen pressure using PAO₂ = FiO₂ × (Patm − 47) − PaCO₂/0.8, with atmospheric pressure defaulting to 760 mmHg.
- It calculates capillary, arterial, and venous oxygen content using the provided values.
- It applies Qs/Qt = (CcO₂ − CaO₂)/(CcO₂ − CvO₂) and returns the fraction, percentage, category, and whether mixed-venous defaults were used.

## Use cases

- Critical care review of hypoxemia and suspected pulmonary shunt.
- Respiratory physiology teaching using arterial and mixed-venous oxygen content.
- Comparison of room-air estimates with values from a 100%-oxygen shunt test.

## Frequently asked questions

### What inputs are required?

Hemoglobin, PaO₂, SaO₂, PaCO₂, and FiO₂ are required. Patm, PvO₂, and SvO₂ are optional.

### What happens if PvO₂ or SvO₂ is missing?

The calculator uses PvO₂ of 40 mmHg and SvO₂ of 0.75, and identifies the venous source as default values.

### What FiO₂ should I enter for a 100%-oxygen shunt test?

Enter 1.0. For a room-air estimate, enter 0.21.

### What does a Qs/Qt above 20% indicate?

It is categorized as a severe shunt in this calculator. Interpret the result with the clinical context.

### Is this calculator medical advice?

No. It provides an estimate for education and clinical reference and does not replace professional assessment.

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