Mass Transfer

Q1: Pick out the correct statement.

A Higher hold up of the solid in the rotary dryer results in better exposure of the solids to the gas.

B The 'Hatta number' is important in problems involving gas absorption without chemical reaction.

C For a non-reacting binary mixture of ideal gases, the partial pressure distribution of both components is linear in the case of steady state equimolal counter-diffusion.

D Total reflux in case of distillation operation requires infinite number of plates for a binary system separation.

ANS:C - For a non-reacting binary mixture of ideal gases, the partial pressure distribution of both components is linear in the case of steady state equimolal counter-diffusion.

In the case of steady-state equimolar counter-diffusion of a non-reacting binary mixture of ideal gases, where two gases are flowing in opposite directions with equal molar flow rates, the partial pressure distribution of both components becomes linear. This phenomenon occurs due to the equal and opposite diffusion fluxes of the two gases in the system. In equimolar counter-diffusion, each gas component diffuses at the same rate but in the opposite direction, leading to a situation where the concentration gradients of both gases are linearly distributed along the length of the diffusion path. Mathematically, the partial pressure distribution of both components in the gas phase can be expressed as linear functions of distance or time. This linearity arises because the diffusion flux of each gas component is directly proportional to the concentration gradient according to Fick's law of diffusion. This linear partial pressure distribution simplifies the analysis of equimolar counter-diffusion processes, making it easier to predict and model the behavior of ideal gas mixtures under these conditions. It is important to note that this linear behavior holds true only for ideal gas mixtures and under conditions of steady-state equimolar counter-diffusion. In real systems or under different operating conditions, deviations from linearity may occur due to factors such as non-ideal behavior, chemical reactions, or variations in flow rates.



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