Kremser brown equation will be invalid for gas phase transfer units if operating and equilibrium line has same slope.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?

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Answer

Understanding Kremser-Brown Equation
The Kremser-Brown equation is a fundamental tool used in chemical engineering to analyze mass transfer operations, particularly in gas-liquid systems. It relates to the efficiency of mass transfer between phases.
When is the Kremser-Brown Equation Invalid?
The validity of the Kremser-Brown equation hinges on the relationship between the operating line and the equilibrium line in a mass transfer context. If these two lines have the same slope, the equation becomes invalid for the following reasons:

Same Slope Implication: When the operating line and the equilibrium line share the same slope, it indicates that there is no driving force for mass transfer. This means that the concentration gradients necessary for effective transfer do not exist.
No Mass Transfer: Since mass transfer relies on differences in concentration between the two phases, equal slopes suggest that the concentration in the gas phase directly mirrors that in the liquid phase, resulting in zero mass transfer.
Equilibrium Condition: Under these conditions, the system is at equilibrium, and there is no net mass transfer occurring. The Kremser-Brown equation, which is designed to calculate transfer units based on concentration gradients, cannot be applied.

Conclusion
Therefore, the statement that the Kremser-Brown equation will be invalid for gas phase transfer units if the operating and equilibrium lines have the same slope is indeed True. This highlights the essential principle that mass transfer requires a driving force, which is absent when the slopes align.

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