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Mass Transfer - Engineering

Q1:

The binary diffusivity in gases and liquids vary respectively as

A T3/2 and T

B T and T3/2

C T and T3/2 T3/2 and T

ANS:A - T3/2 and T

The binary diffusivity in gases and liquids varies respectively as 𝑇3/2T3/2 and 𝑇T. In gases, the binary diffusivity (𝐷D) is primarily governed by the kinetic theory of gases and is proportional to the square root of the absolute temperature (𝑇T) raised to the power of 3/2. Mathematically, 𝐷𝑔∝𝑇3/2Dg​∝T3/2. In liquids, the binary diffusivity is often temperature-dependent and typically varies linearly with temperature (𝑇T). This dependence arises due to the effect of temperature on the mobility of molecules in the liquid phase. Mathematically, 𝐷𝑙∝𝑇Dl​∝T. So, the correct option is: 𝑇3/2T3/2 and 𝑇T.