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What is the difference between the Freundlich and Langmuir adsorption isotherms?
ADSORPTION ISOTHERMA mathematical equation, which describes the relationship between pressure (p) of the gaseous adsorbateand the extent of adsorption at any fixed temperature, is called adsorption isotherm.The extent of adsorption is expressed as mass of the adsorbateadsorbed on one unit mass of the adsorbent.Thus, if x g of an adsorbateis adsorbed on m g of the adsorbent, thenExtent of adsorption =z/mVarious adsorption isotherms are commonly employed in describing the adsorption data.(1) Freundlichadsorption isotherm(i) Freundlichadsorption isotherm is obeyed by the adsorptions where the adsorbateforms a monomolecular layer on the surface of the adsorbent.x/m =kp1/n (Freundlichadsorption isotherm) orlog x/m =log k + 1/n log Pwhere x is the weight of the gas adsorbed by m gm of the adsorbent at a pressure p, thus x/m represents the amount of gas adsorbed by the adsorbents per gm (unit mass), k and n are constant at a particular temperature and for a particular adsorbent and adsorbate(gas), n is always greater than one, indicating that the amount of the gas adsorbed does not increase as rapidly as the pressure.(ii) At low pressure, the extent of adsorption varies linearly with pressure. x/m ∝ p'(iii) At high pressure, it becomes independent of pressure. x/m ∝ p0(iv) At moderate pressure x/m depends upon pressure raised to powers x/m ∝ p1/n(2) The Langmuir - adsorption isotherms(i) One of the drawbacks of Freundlichadsorption isotherm is that it fails at high pressure of the gas. Irving Langmuir in 1916 derived a simple adsorption isotherm, on theoretical considerations based on kinetic theory of gases. This is named as Langmuir adsorption isotherm.(a) Adsorption takes place on the surface of the solid only till the whole of the surface is completely covered with a unimolecularlayer of the adsorbed gas.(b) Adsorption consists of two opposing processes, namely Condensation of the gas molecules on the solid surface and Evaporation (desorption)ofthe gas molecules from the surface back into the gaseous phase.(c) The rate of condensation depends upon the uncovered (bare) surface of the adsorbent available for condensation. Naturally, at start when whole of the surface is uncovered the rate of condensation is very high and as the surface is covered more and more, the rate of condensation progressively decreases. On the contrary, the rate of evaporation depends upon the covered surface and hence increases as more and more of the surface is covered ultimately an equilibrium will be set up at a stage when the rate of condensation becomes equal to the rate of evaporation (adsorption equilibrium).(d) The rate of condensation also depends upon the pressure of the gas since according the kinetic theory of gases, the number of molecules striking per unit area is proportional to the pressure.Mathematically, x/m =ap/1+bp, where a and b are constants and their value depends upon the nature of gas (adsorbate),nature of the solid adsorbent and the temperature. Their values can be determined from the experimental data.Limitation of Langmuir theory(a) Langmuir's theory of unimolecularadsorption is valid only at low pressures and high temperatures.(b) When the pressure is increased or temperature is lowered, additional layers are formed. This has led to the modern concept of multilayer adsorption.
How can I use the interpolate griddata function to fill in missing values in my dataset?
To use the interpolate griddata function to fill in missing values in your dataset, you need to provide the function with the coordinates of the known data points and their corresponding values. The function will then use interpolation techniques to estimate the missing values based on the surrounding data points. This can help you create a more complete and accurate dataset by filling in the gaps with estimated values.
How have the values of many resources changed over time?
The values of many resources have changed over time due to various factors such as supply and demand, technological advancements, economic conditions, and shifting consumer preferences. For example, the value of fossil fuels has fluctuated due to changes in extraction methods, regulations, and global energy demands. Similarly, the value of precious metals like gold and silver has been influenced by economic instability, currency fluctuations, and shifts in investor sentiment.
What causes an era to change?
Eras change due to significant shifts in society, culture, technology, or political systems that redefine the dominant characteristics of that time period. These changes can be gradual or rapid, triggered by events such as revolutions, wars, economic developments, or scientific advancements, leading to a new era marked by distinct trends and values.
What effect does hemolysis have on sodium values?
Hemolysis can falsely elevate sodium values due to release of intracellular sodium from red blood cells during the process of hemolysis. This can lead to inaccurately high sodium measurements in the blood sample.
Do Isotherm lines usually pass directly through observing station locations?
Isotherm lines do not typically pass directly through observing station locations. Instead, they connect points on a map with equal temperature values. Station locations can be used as reference points to help define and draw isotherm lines but may not necessarily coincide with the lines themselves.
Give four reasons for the increase in the divorce rate in Britain over the last 40 years?
Changes in law Changing expectations Changes in the social position of women Changing social values Demographic change
What allows you to use Excel to change one or more values in a spreadsheet and then assess the effect those changes have on the calculated values?
The ___________ allows you to use excel to change one or more values in a spreadsheet and then assess the effect those changes have on the calculated values.
Why law changes?
As society changes, the laws evolve to match society's morals and values.
What are the foundation of education?
The foundation of values education is to teach students what is required to be a good citizen. Some values introduced early include honesty and trustworthiness.
What is an experimental variable?
A variable whose values are independent of changes in the values of other variables. The factor you are testing.
How do values die?
As the world changes, sometimes old values seem to become irrelevant in the new circumstances.
What are the thermisters?
It's a resistor that changes values based on the temperature.
What was the experimental variable?
A variable whose values are independent of changes in the values of other variables. The factor you are testing. answer by: Ayezza
The distance and direction of an object anobject change in position from starting point?
The distance and direction an object changes in position from its starting point can be described using a vector quantity. The magnitude of the vector represents the distance traveled, while the direction specifies the angle in relation to a reference point. Together, these values provide a comprehensive description of the object's change in position.
When were the lds young women values introduced?
The LDS Young Women Values of Faith, Divine Nature, Individual Worth, Knowledge, Choice and Accountablility, Good Works, and Integrity were introduced in 1985. The value of Virtue was introduced in 2009. Prior to 1985, there were similar Young Women Values, but they were different. They were: Safeguard Health, Have Faith, Value Work, Taste the Sweetness of Service, Seek Knowledge, Honor Womanhood, Feel Joy, Understand Beauty, and Love Truth.
Are garbage values are fixed or changes for every execution?
Platform dependent. Of course you must not use these values, not even as random data.
