Question

Why wave length
decreases with an increasing electrolyte concentration?​

Answer 1

Answer:

In plasmas and electrolytes, the Debye length (also called Debye radius), named after Peter Debye, is a measure of a charge carrier's net electrostatic effect in a solution and how far its electrostatic effect persists.[1] A Debye sphere is a volume whose radius is the Debye length. With each Debye length, charges are increasingly electrically screened. Every Debye‐length {\displaystyle \lambda _{\rm {D}}} {\displaystyle \lambda _{\rm {D}}}, the electric potential will decrease in magnitude by 1/e. Debye length is an important parameter in plasma physics, electrolytes, and colloids (DLVO theory). The corresponding Debye screening wave vector {\displaystyle k_{\rm {D}}=1/\lambda _{\rm {D}}} {\displaystyle k_{\rm {D}}=1/\lambda _{\rm {D}}} for particles of density {\displaystyle n} n, charge {\displaystyle q} q at a temperature {\displaystyle T} T is given by {\displaystyle k_{\rm {D}}^{2}=4\pi nq^{2}/(k_{\rm {B}}T)} {\displaystyle k_{\rm {D}}^{2}=4\pi nq^{2}/(k_{\rm {B}}T)} in Gaussian units. Expressions in MKS units will be given below. The analogous quantities at very low temperatures ( {\displaystyle T\to 0} {\displaystyle T\to 0}) are known as the Thomas–Fermi length and the Thomas–Fermi wave vector. They are of interest in describing the behaviour of electrons in metals at room temperature.