# Sensible / Latent Heat Split (SHR = Sensible / Total)

Split an air-conditioning load into sensible and latent components. Total cooling capacity Qt = ṁ_da·(h1 − h2); sensible capacity Qs = ṁ_da·cp_ma·(T1 − T2) with cp_ma ≈ 1.006 + 1.86·W [kJ/(kg da·K)]; latent capacity Ql = Qt − Qs; Sensible Heat Ratio SHR = Qs / Qt. Entering/leaving states are described by dry-bulb temperature T and humidity ratio W; enthalpy h = 1.006·T + W·(2501 + 1.86·T) [kJ/kg da]. Three modes: full air-state split (T1,W1)→(T2,W2), from Qt & Qs (solve SHR + Ql), or from Qt & SHR (solve Qs, Ql).

> Canonical page: https://elysiatools.com/en/tools/sensible-latent-heat-split

- **Category:** Math & Numbers

- **Keywords:** sensible heat, latent heat, SHR, sensible heat ratio, cooling load split, psychrometric, HVAC, enthalpy, humidity ratio, coil

## Overview

Calculate the sensible and latent portions of an air-conditioning cooling load with the Sensible / Latent Heat Split tool. Use entering and leaving air states, total and sensible capacity, or total capacity and SHR to obtain Qt, Qs, Ql, and the sensible heat ratio.

## Inputs

- **Mode** (select): Full air-state split, from Qt & Qs, or from Qt & SHR.
- **Entering Dry-bulb T1** (number): Entering (return / coil-on) dry-bulb temperature in °C. Used in 'state' mode.
- **Entering Humidity W1** (number): Entering humidity ratio W1, in the selected Humidity Unit. Used in 'state' mode.
- **Leaving Dry-bulb T2** (number): Leaving (supply / coil-off) dry-bulb temperature in °C. Used in 'state' mode.
- **Leaving Humidity W2** (number): Leaving humidity ratio W2, in the selected Humidity Unit. Used in 'state' mode.
- **Humidity Unit** (select)
- **Dry-air Mass Flow ṁ_da** (number): Dry-air mass flow rate ṁ_da, in the selected Flow Unit. Used in 'state' mode.
- **Flow Unit** (select)
- **Total Capacity Qt** (number): Total cooling capacity Qt. Enter in the selected Capacity Unit. Used in 'qt' and 'shr' modes.
- **Sensible Capacity Qs** (number): Sensible cooling capacity Qs. Enter in the selected Capacity Unit. Used in 'qt' mode.
- **Sensible Heat Ratio SHR** (number): Sensible Heat Ratio SHR = Qs / Qt (0–1). Used in 'shr' mode.
- **Capacity Unit** (select)
- **Decimal Places** (number)

## When to use

- Estimate total, sensible, and latent cooling capacity from entering and leaving air conditions.
- Find SHR and latent capacity when total capacity and sensible capacity are known.
- Calculate sensible and latent capacity from total cooling capacity and a target SHR.

## How it works

- Choose a calculation mode: full air-state split, Qt and Qs, or Qt and SHR.
- Enter temperatures in °C, humidity ratios in g/kg or kg/kg dry air, and dry-air mass flow in kg/s or kg/h when using air states.
- Enter capacity in kW or W, and provide the required Qt, Qs, or SHR values for the selected mode.
- The tool calculates enthalpy, total capacity Qt, sensible capacity Qs, latent capacity Ql, and SHR, then returns the results as JSON.

## Use cases

- HVAC coil analysis using entering and leaving dry-bulb temperatures, humidity ratios, and dry-air mass flow.
- Cooling-load reports that separate total capacity into sensible and latent components.
- Early-stage equipment or air-conditioning calculations using a known total capacity and SHR.

## Frequently asked questions

### What does SHR mean?

SHR is the sensible heat ratio, calculated as sensible capacity divided by total cooling capacity: SHR = Qs / Qt.

### Which inputs are required for the full air-state mode?

Enter T1, W1, T2, W2, and dry-air mass flow. Select the humidity and flow units.

### What can I calculate from Qt and Qs?

The Qt and Qs mode calculates SHR and latent capacity Ql, where Ql = Qt − Qs.

### What can I calculate from Qt and SHR?

The Qt and SHR mode calculates sensible capacity Qs = SHR × Qt and latent capacity Ql = Qt − Qs.

### Can I choose the result precision?

Yes. Set Decimal Places from 0 to 8 places.

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