# Reaction calorimeter

A reaction calorimeter is a calorimeter that measures the amount of energy released (in exothermic reactions) or absorbed (in endothermic reactions) by a chemical reaction. It does this by measuring the total change in temperature of an exact amount of water in a vessel.

## Methods
### Heat flow calorimetry

Heat flow calorimetry measures the heat flowing across the reactor wall and quantifies this in relation to other energy flows within the reactor.
    $Q=UA(T_{r}-T_{j})$
where:
    $Q$ → process heating (or cooling) power (W)
    $U$ → overall heat transfer coefficient (W/(m$^2$K))
    $A$ → heat transfer area (m$^2$)
    $T_{r}$ → process temperature (K)
    $T_{j}$ → jacket temperature (K)
Heat flow calorimetry allows the user to measure heat while the process temperature remains under control. While the driving force T$_r$ − T$_j$ is measured with a relatively high resolution, the overall heat transfer coefficient U or the calibration factor UA is determined by calibration before and after the reaction takes place. These factors are affected by the product composition, process temperature, agitation rate, viscosity, and liquid level.

### Heat balance calorimetry

In heat balance calorimetry, the cooling/heating jacket controls the temperature of the process. Heat is measured by monitoring the heat gained or lost by the heat transfer fluid.
    $Q=m_{s}C_{ps}(T_{i}-T_{o})$
where:
    $Q$ → is the process heating (or cooling) power (W)
    $m_{s}$ → is the mass flow of heat transfer fluid (kg/s)
    $C_{ps}$ → is the specific heat of heat transfer fluid (J/(kg K))
    $T_{i}$ → is the inlet temperature of heat transfer fluid (K)
    $T_{o}$ → is the outlet temperature of heat transfer fluid (K)
Heat balance calorimetry is considered an effective method for measuring heat, as it involves quantifying the heat entering and leaving the system through the heating/cooling jacket using the heat transfer fluid, whose properties are well known.
This method effectively measures heat loss or gain, circumventing many calibration issues associated with heat flow and power compensation calorimetry. However, it is less effective in traditional batch vessels, where significant heat shifts in the cooling/heating jacket can obscure the process's heat signal.

### Power compensation calorimetry

Power compensation calorimetry is a variation of the heat flow technique. This method utilizes a cooling jacket operating at constant flow and temperature. The process temperature is regulated by adjusting the power of an electrical heater. At the start of the experiment, the electrical heat and cooling power are balanced. As the process's heat load changes, the electrical power is adjusted to maintain the desired process temperature. The heat liberated or absorbed by the process is determined from the difference between the initial electrical power and the electrical power required at the time of measurement. While power compensation calorimetry requires less preparation than heat flow calorimetry, it faces similar limitations. Changes in product composition, liquid level, process temperature, agitation, or viscosity can impact the instrument's calibration. Additionally, the presence of an electrical heating element is not optimal for process operations. Another limitation of this method is that the maximum heat it can measure is equal to the initial electrical power applied to the heater.
    $Q=IV\,\,\,\,\,\mathrm {or} \,\,\,\,\,\,(I-I_{0})V$
where:
    $I$ is the current supplied to the heater
    $V$ is the voltage supplied to the heater
    $I_{0}$ is the current supplied to the heater at equilibrium (assuming constant voltage / resistance)

### Constant flux calorimetry

Constant flux heating and cooling jackets use variable geometry cooling jackets and can operate with cooling jackets at a substantially constant temperature. These reaction calorimeters are simpler to use and are much more tolerant of changes in the process conditions.
Constant flux calorimetry is an advanced temperature control mechanism used to generate accurate calorimetry. It operates by controlling the jacket area of a laboratory reactor while maintaining a constant inlet temperature of the thermal fluid. This method allows for precise temperature control, even during strongly exothermic or endothermic events, as additional cooling can be achieved by increasing the area over which heat is exchanged.
This system is generally more accurate than heat balance calorimetry, as changes in the delta temperature (T$_{out}$ - T$_{in}$) are magnified by keeping the fluid flow as low as possible.
One of the main advantages of constant flux calorimetry is the ability to dynamically measure heat transfer coefficient (U). According to the heat balance equation:
    $Q=m_{f}\;C_{p}\;(T_{in}-T_{out})$
From the heat flow equation that
    $Q=U\;A\;LMTD$
These equations can be rearranged to:
    $U={\frac {m_{f}\;C_{p}\;(T_{in}-T_{out})}{A\;LMTD}}$
This allows for the monitoring of U as a function of time.

## Instrumentation

Different types of reactors in chemistry have different applications. There are batch reactor and flow reactor.
Batch reactor
In traditional calorimeters, batch reactor are used. In the batch process, one reactant is added continuously in small amounts, to achieve complete conversion of the reaction. Batch calorimeters operating microreactors are still considered the state-of-the-art. Microreactors gave high surface-to-volumn ratio, which benefits mixing reactants and enhances heat transfer. This technology enables extended reaction processes, higher yield, conversion rate, selectivity, and automation.
Flow reactor
A continuous flow calorimeter is a similar instrument used to obtain thermodynamic information with continuous process. Continuous flow calorimeters offer significant advantages in the study of continuous processes, particularly in industrial applications where consistent and reproducible reaction conditions are critical. This approach results in more controllable residence times, substance concentrations, and temperature. This increased in control can also help manage risk and be used as scale-up factor.
It can record an axial temperature profile along the flow reactor, allowing the determination of the specific heat of reaction through heat balances and segmental dynamic parameters. These instruments can provide detailed insights into the thermodynamics and kinetics of reactions under steady-state conditions. The use of precise dosing systems ensures accurate control over reactant flow rates, while preheaters can stabilize the temperature of incoming reactants, minimizing temperature fluctuations that could affect the reaction rate and selectivity.
Continuous flow calorimeters also allow for the study of reaction mechanisms and the identification of intermediate species. By analyzing the heat flow data in conjunction with other analytical techniques, such as spectroscopy or chromatography, researchers can gain a comprehensive understanding of the reaction pathways and the factors influencing selectivity and yield. This information is invaluable for developing efficient and sustainable chemical processes, reducing waste, and minimizing energy consumption.