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The adsorption of a gas is described by Langmuir Isotherm with equation constant, K = 0.5 K Pa–1 at 25°C. The pressure (in PK) when translational reaction coverage is 0.25 is:
- a)0.66
- b)0.55
- c)0.33
- d)0.45
Correct answer is option 'A'. Can you explain this answer?
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The adsorption of a gas is described by Langmuir Isotherm with equatio...
^-1. This means that when the pressure of the gas is 1 KPa, half of the available adsorption sites on the surface will be occupied by gas molecules.
The Langmuir Isotherm is a model that describes the adsorption of a gas on a solid surface. It assumes that the adsorption occurs at specific sites on the surface and that each site can only accommodate one gas molecule. The equation relates the pressure of the gas to the amount of gas adsorbed on the surface.
The Langmuir Isotherm equation is:
θ = Kp / (1 + Kp)
where θ is the fractional coverage (the fraction of adsorption sites that are occupied by gas molecules), p is the pressure of the gas, and K is the Langmuir constant.
In this case, K = 0.5 K Pa^-1, which means that when the pressure of the gas is 1 KPa (p = 1), θ = 0.5. This indicates that half of the available adsorption sites on the surface will be occupied by gas molecules.
At higher pressures, the amount of gas adsorbed will increase, but eventually, the surface will become saturated and no more gas can be adsorbed. This saturation occurs when θ = 1, which corresponds to a pressure of p = K^-1, or 2 KPa in this case.
The Langmuir Isotherm is a model that describes the adsorption of a gas on a solid surface. It assumes that the adsorption occurs at specific sites on the surface and that each site can only accommodate one gas molecule. The equation relates the pressure of the gas to the amount of gas adsorbed on the surface.
The Langmuir Isotherm equation is:
θ = Kp / (1 + Kp)
where θ is the fractional coverage (the fraction of adsorption sites that are occupied by gas molecules), p is the pressure of the gas, and K is the Langmuir constant.
In this case, K = 0.5 K Pa^-1, which means that when the pressure of the gas is 1 KPa (p = 1), θ = 0.5. This indicates that half of the available adsorption sites on the surface will be occupied by gas molecules.
At higher pressures, the amount of gas adsorbed will increase, but eventually, the surface will become saturated and no more gas can be adsorbed. This saturation occurs when θ = 1, which corresponds to a pressure of p = K^-1, or 2 KPa in this case.
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The adsorption of a gas is described by Langmuir Isotherm with equation constant, K = 0.5 K Pa–1 at 25°C. The pressure (in PK) when translational reaction coverage is 0.25 is: a)0.66 b)0.55 c)0.33 d)0.45Correct answer is option 'A'. Can you explain this answer?
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