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Thursday, January 9, 2025

Enthalpies in the steam tables

 Enthalpy is a thermodynamic concept that can be hard to get a grip on. Perhaps, the reason is that it appears in several contexts so that understanding of it becomes confusing.

In this post the usage of enthalpy in the context of steam is presented. This is an interesting case since steam services are present in almost every chemical process industry and different daily applications, such as the heating of buildings, for example.

On the other hand, the interpretation of enthalpy, among the professionals of the steam, is as  thermal energy (as simple as that). Why? Because, engineers and technician need something easy to use and measurable rather than something that makes their work harder.

Some parameters used in steam tables

Data in steam table are usually order either by pressure or by temperature. Also there are different two types of steam: saturated and superheated. For simplicity, we will only refer to saturated steam tables.

For reference, consult the ASME Steam tables. Compact edition book.

Fig. 01 Sample steam tables by temperature and pressure. These tables were taken from the ASME Steam Tables. Compact edition book.

The steam tables present data for volume, enthalpy and pressure. In this post, we will focus on volume and enthalpy only.

Volume of liquid and vapor

These parameters, appearing in the columns 3 and 4 in tables of Fig. 01, partly indicate how much liquid water is present in the steam. Unless the steam is completley dry the steam will be a two phase fluid made of: vapor and liquid (in the form of small droplets). As you  can see from the data in tables of Fig. 01, the saturated steam is not dry at all.

This volume is presented as [volume of liquid or vapor]/[unit mass of steam]. In other words, and for the present case, this is the $ft^3$ of liquid or vapor per $lb_m$ of steam. Also, the summation $V_L+V_V$ is also called the specific volume.

The enthalpies

In Fig. 01 only two enthalpies ares shown: $h_L$ and $h_V$. However, a third enthalpy parameter usually appear in this kind of tables: $h_{evap}$. Theses parameters can be referred as,

  • $h_L$ the enthalpy of the liquid phase,
  • $h_V$ the enthalpy of the vapor phase and
  • $h_{evap}$ the enthalpy of evaporation,

all in the same units: $Btu/lb_m$ or $kJ/kg$ (for SI units). In fact,

$h_{evap}=h_V - h_L$

For illustration purposes, let us consider the first row, for steam at $32\,F$, in Table 1 of Fig. 01. Thus, $h_L$ is interpreted as the energy required to increase the temperature of $1\,lb_m$ of water (or $1\,kg$ of water, in SI) from its freezing point to its boiling temperature $32\,F$ for the present case. Notice, that $h_L$ will only make sense if the water remains liquid.

For the same row in Table 1 in Fig. 01, $h_{evap}$ is interpreted as the energy required for the change of phase of $1\,lb_m$ (or $1\,kg$ in SI) of liquid water at its boling temperature into vapor. Notice, that either liquid or vapor are at $32\,F$, the boiling temperature. This amount of energy referred by the steam professionals as the one that can be used for heating purposes since the steam can very quickly transfer it.

Finally, $h_V$ is interpreted as the thermal energy carried by the vapor. This is the energy of the liquid at its boiling temperature plus an added energy so that the fluid can be in vapor phase.

One parameter I have no mentiones is the pressure. All above comments are for constant pressure. If you change the pressure, the values of temperature, volume and enthalpies will also change but the interpretation will be the same.

Any question? Write in the comments and I shall try to help.

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Wednesday, November 20, 2024

About the contactor

 For short, a contactor is an encapsulated relay on steroids.

Just as the encapsulated relay, a contactor has:

  • a coil,
  • a set of contacts and
  • a test button.

However, a contactor is built for heavy duty applications.



You can read about the encapsulated relay here: About the encapsulated relay.

Knowing the contactor

A contactor should be easy to identify. You should see coil terminals, auxiliary contacts (NO or NC or a combination of these), power contacts and a small level working as a test button. Depending on the manufacturer and model, these features can be arranged in different ways.

Most models are design for rail mounting inside a cabinet. However, more expensive models may have other features such as small pilot lights or self-coupling to other components such as overload relays, to say an example.

Images of sample contactors


The coil

The contactor coil can be easily identified by the A1 and A2 terminals. You should  remember that depending on the model, the coil may be for DC or AC and design for a given voltage too.

In the contactor, the coil does the same work as the encapsulated relay: when it is energized a set of contacts is open or closed.

The contacts

In the contactor, two types of contacts appear,

  • auxiliary contacts and
  • power contacts.

Auxiliary contacts are meant for turning on/of devices of low voltage such as: pilot lights or alarms, for example. On the other hand, power contacts are used for powering equipment requiring high voltaje and representing a potential danger for an operator, such as: motors or electrical resistances, to name some.

In a contactor, the number of contacts are,obviously, specified according to the application of the component. It is common practice that auxiliary contacts are NO but one NO and one NC or only NC contacts can be looked for. You can identify the auxiliary contacts in the contactor by NO or NC legend.

Contacts in a contactor. Manufacturer: WEG, Model: CWB9


On the other hand, power contacts are always NO since these are meant for energizing an equipment. You can identify the power contacts by the letters L1, L2, etc. and T1, T2, etc.. The letters L and T stand for: line and terminal; while the numbers indicate correspondence between each terminal, this is: L1 and T1 are a NO contact, and so on. Also, all NO power contacts are independent so that L1 and T2 do not form a contact.

Specification of a contactor

Specifying a contactor is usually reduced to determine the number of NO/NC auxiliary and NO power contacts. Therefore, you should, first, determine what is to be turn on/off by the auxiliary contacts so that a ladder diagram needs to be well established before anything else.

The power contacts are related to the power diagram or circuit. You need to know if the equipment is single or triple phase or something else so that the number of poles (NO contacts) can be determined.

Rating

Contactor rating usually refers to the NO power contacts since these are the ones to be subjected to high voltage and current. These contacts need to be such that can withstand a given maximum voltage and current intensity.

Again, you need to know the electrical features of the equipment to plug into the contactor so that you can safely use the proper option.

Sometimes, rating is also related to the selection of the coil. However, the coil is selected according to ladder diagram and features of other components in the same circuit.

Any question? Write in the comments and I shall try to help.

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Sunday, September 8, 2024

What is plastic injection?

 Plastic injection is a manufacturing technique based on pouring liquid plastic into a mold with a desired form. This process is not knew and it is at the heart of almost all products you see in your daily life: from cars to spaceships passing through dishes and medical devices, for example.

For instance, the plastic bumper of a car is made by plastic injection. The same is true for the caps of some bottles. 

This industrial process requires different machines and different resines or polymers and although it seems a simple process a number of problems arise during operation. Some examples of plastics are,

  • polypropilene (PP),
  • high density polyethylene (HDPE),
  • acrylonitrile butadiene styrene (ABS),
  • polycarbonate (PC),
  • among others.

  • Fig. 01 Here is a photo of the pellets in the form of small cylinders, ready to be used in a plastic injection machine.

Fig. 02 Here is a photo of the bag in which polymer pellets are sold. This is for high density polyethylene (HDPE).

Three important actors

The mold, the machine and the polymer are the most recognizeble actors in this process. Molds are specially designed and manufactured to hold high pressures of the order of thousands of psi. These are very expensive parts of the process. On the other hand, the machine comes in a variety of pressure capacities and automation features. Also, no any mold can work along any plastic injection machine. Finally, the polymer is key because the mold is designed with a given polymer in mind and this has to meet certain physical properties if good quality products are to be manufactured.

Thursday, August 29, 2024

a and b constants data for the van der Waals equation

 Here are some data for constants a and b appearing in the van der Waals equation:

Gas Formula a (atm L2/mol2) b (L/mol)
Acetylene C2H2 4.390 0.05136
Ammonia NH3 4.170 0.03707
Carbon dioxide CO2 3.592 0.04267
Ethane C2H6 5.489 0.0638
Ethylene C2H4 4.471 0.05714
Helium He 0.03508 0.0237
Hydrogen H2 0.244 0.0266
Hydrogen chloride HCl 3.667 0.04081
Krypton Kr 2.318 0.03978
Mercury Hg 8.093 0.01696
Methane CH4 2.253 0.0428
Neon Ne 0.2107 0.01709
Nitric oxide NO 1.340 0.02789
Nitrogen N2 1.390 0.03913
Nitrogen dioxide NO2 5.284 0.04424
Oxygen O2 1.360 0.03183
Propane C3H8 8.664 0.08445
Sulfur dioxide SO2 6.714 0.05636
Xenon Xe 4.194 0.05105
Water H2O 5.464 0.03049

Please, be aware of the units.

Any question? Write in the comments and I shall try to help.

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Tuesday, March 26, 2024

Does the state equation matter for Boyle's law?

 First, you need to know that the works on which Boyle's law are based are very old.

Boyle's law is due to the investigations of Robert Boyle by the years 1660! Follow this link if you want read the originial text.

On the other hand, the first equation of state, which is that for the ideal gas law,

$PV=n\text{R}T$

was assembled in 1834 by Emil Clapeyron. Notice, that I said assembled because, as in many fields of science, the ideal gas law is based on the findings of researchers before  1834, Robert Boyle included!

On  the other hand, the second most known equation of state is that of van der Waals,

$\left(P+\dfrac{an^2}{V^2}\right)\left(V-nb\right)=n\text{R}T$

in 1873! Then, what is clear at this point, in answer to the question, is that Boyle's law does not care about the state equation you are using.

Why is it that Boyle's law does not care about the state equation?

The answer is simple. Boyle's law describe the behavior of a system and although it was empirically determined it has been demonstrated its validity in many different systems. However, the state equations are based on Boyle's law (or the findings of Robert Boyle) and worst, the state equations (as the two mentioned early), not always work for every condition.

Any question? Write in the comments and I shall try to help.

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