To calculate the Langmuir constant (KL) in the Langmuir isotherm model, you typically perform a nonlinear regression analysis on experimental data using the Langmuir equation: (q = \frac{{q_{max} K_L C}}{{1 + K_L C}}), where q is the adsorption capacity at a given concentration C, and (q_{max}) is the maximum adsorption capacity. The Langmuir constant (KL) can be determined by fitting the experimental data to this equation and solving for KL.
Langmuir and Fisher are two separate scientists who made significant contributions in different fields. Irving Langmuir was a chemist and physicist known for his work on surface chemistry and plasma physics, while Ronald Fisher was a statistician known for his contributions to the field of statistics, particularly in experimental design and hypothesis testing. Langmuir developed the Langmuir adsorption isotherm, and Fisher developed the analysis of variance (ANOVA) and the design of experiments.
Isotherm lines can be irregular due to variations in topography, ocean currents, or changes in surface properties. These factors can create pockets of warm or cold air that deviate from the expected temperature patterns, resulting in irregular isotherm lines.
The Freundlich isotherm is typically represented as (\sf q = k \times C^{1/n}), where (\sf q) is the amount of solute adsorbed per unit mass of adsorbent, (\sf k) is the Freundlich constant, (\sf C) is the equilibrium concentration of solute in solution, and (\sf n) is the Freundlich exponent. To calculate (\sf n), you would need to plot (\sf log(q)) versus (\sf log(C)) and the slope of the linear portion of the curve will give you the value of (\sf n).
The Langmuir Paradox refers to the discrepancy between the relatively low calculated reactivity of gas-phase ions in the atmosphere and the high reactivity observed in experiments. It highlights the limitations in our understanding of complex chemical reactions happening in the atmosphere.
Irving Langmuir introduced the term "plasma" in 1928 as a distinct state of matter, characterized by ionized particles. However, both Langmuir and other scientists had been studying plasma properties for years prior to this. Langmuir's research contributed significantly to the understanding and development of plasma physics.
Hill isotherm is a mathematical model that describes the binding of a ligand to a protein when cooperativity exists between the binding sites. It accounts for the interaction between ligand-bound and ligand-free sites, resulting in a sigmoidal binding curve rather than a hyperbolic one seen in simpler binding models like the Michaelis-Menten equation.
The monolayer capacity of the adsorbent is equal to number of moles of adsorption sites present on one gram of sample. The Langmuir and BET isotherms may be used to find th monolayer capacity of the adsorbent. Thus on taking the reciprocal of the monolayer capacity, one can find the molecular weight of the adsorbent.
The Freundlich isotherm describes multilayer adsorption onto a heterogeneous surface with non-specific interactions, while the Langmuir isotherm describes monolayer adsorption onto a homogeneous surface with specific interactions. Freundlich assumes a continuous distribution of energies for adsorption, whereas Langmuir assumes a finite number of identical sites for adsorption.
Langmuir and Fisher are two separate scientists who made significant contributions in different fields. Irving Langmuir was a chemist and physicist known for his work on surface chemistry and plasma physics, while Ronald Fisher was a statistician known for his contributions to the field of statistics, particularly in experimental design and hypothesis testing. Langmuir developed the Langmuir adsorption isotherm, and Fisher developed the analysis of variance (ANOVA) and the design of experiments.
At a given temperature, the extent of adsorption will increase with the increase of pressure of the gas. The extent of adsorption is measured as x/m, where mi= is the mass of adsorbent and x that of adsorbate. At low pressure, x/m varies linearly with p. As per Freundlich adsorption equation Taking log both sides of the equation, we get, At low pressure, x/m=kP At high pressure, x/m=kPo This is called Freundlich adsorption isotherm at a constant temperature. Freundlich isotherm fails at high pressure and is only for physical adsorption. Langmuir isotherm is represented as x/m=ap/(1+bp) (a and b are constants) At very high pressure,(bp>>1) x/m=a/b At very low pressure,(bp<<1) x/m=ap
The acetic acid molecules will be attracted to the surface of the charcoal due to adsorption, leading to their accumulation on the charcoal's surface. This process can be used to remove acetic acid from a solution through physical adsorption without undergoing a chemical reaction.
Langmuir - journal - was created in 1985.
Gavin I. Langmuir died in 2005.
Gavin I. Langmuir was born in 1924.
Irving Langmuir was born on January 31, 1881.
Irving Langmuir was born on January 31, 1881.
Irving Langmuir has written: 'Collected works'