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Fenske equation determines the
- a)maximum number of ideal plates.
- b)height of the distillation column.
- c)minimum number of theoretical plates.
- d)optimum reflux ratio.
Correct answer is option 'C'. Can you explain this answer?
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Fenske equation determines thea)maximum number of ideal plates.b)heigh...
Explanation:
Fenske equation is a very important tool in designing distillation columns. It is used to determine the minimum number of theoretical plates required to achieve a certain degree of separation. The Fenske equation is based on the concept of relative volatility, which is the ratio of the vapor pressures of two components in a mixture.
The Fenske equation is given as follows:
N = log((x_D-x_B)/(1-x_D))/(log(alpha_BD)-log(alpha_FG))
where,
N = minimum number of theoretical plates required for separation
x_D = mole fraction of the more volatile component in the distillate
x_B = mole fraction of the more volatile component in the bottom product
alpha_BD = relative volatility of the more volatile component with respect to the less volatile component in the mixture
alpha_FG = relative volatility of the less volatile component with respect to the more volatile component in the mixture
From the equation it can be seen that the minimum number of theoretical plates required for separation is inversely proportional to the logarithmic difference in relative volatilities of the two components in the mixture. This means that a larger difference in the relative volatilities of the two components will require fewer theoretical plates for separation.
Therefore, the correct answer to the question is option 'C', which is the minimum number of theoretical plates required for separation.
Fenske equation is a very important tool in designing distillation columns. It is used to determine the minimum number of theoretical plates required to achieve a certain degree of separation. The Fenske equation is based on the concept of relative volatility, which is the ratio of the vapor pressures of two components in a mixture.
The Fenske equation is given as follows:
N = log((x_D-x_B)/(1-x_D))/(log(alpha_BD)-log(alpha_FG))
where,
N = minimum number of theoretical plates required for separation
x_D = mole fraction of the more volatile component in the distillate
x_B = mole fraction of the more volatile component in the bottom product
alpha_BD = relative volatility of the more volatile component with respect to the less volatile component in the mixture
alpha_FG = relative volatility of the less volatile component with respect to the more volatile component in the mixture
From the equation it can be seen that the minimum number of theoretical plates required for separation is inversely proportional to the logarithmic difference in relative volatilities of the two components in the mixture. This means that a larger difference in the relative volatilities of the two components will require fewer theoretical plates for separation.
Therefore, the correct answer to the question is option 'C', which is the minimum number of theoretical plates required for separation.
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Fenske equation determines thea)maximum number of ideal plates.b)heigh...
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