Number of particles is given by \(n = -D \frac{n_2 - n_1}{x_2 - x_1}\) crossing a unit area perpendicular to X -axis in unit time, where n_1 and n^{2} are number of particles per unit volume for the value of X meant to X_2 and X_{1} . Find dimensions of D called as diffusion constant
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[ n ] = Number of particles crossing a unit area in unit time = \(\left[-2T-1\right]\)
\(\left[n_{2}\right]=\left[n_{1}\right]=\) number of particles per unit volume = [ L –3 ]
\(\left[ X_2 \right] = \left[ X_1 \right]\) = positions
∴ ∴ \(D = \frac{[n]\left[x_2 - x_1\right]}{\left[n_2 - n_1\right]} = \frac{\left[L^{-2} T^{-1}\right] \times [L]}{\left[L^{-3}\right]}\) = \(\left[ 2T - 1 \right]\)
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