Number of particles is given by n $$=$$ $$-Dn2-n1x2-x1$$ crossing a unit area perpendicular to $$X-axis$$ in unit time, where $$n1$$ and $$n2$$ are number of particles per unit volume for the value of x meant to $$x2$$ and $$x1$$. Find dimensions of D called as diffusion constant

Question

Number of particles is given by n $$=$$ $$-Dn2-n1x2-x1$$   crossing a unit area perpendicular to $$X-axis$$ in unit time, where $$n1$$ and $$n2$$ are number of particles per unit volume for the value of x meant to $$x2$$ and $$x1$$. Find dimensions of D called as diffusion constant

Infinity Learn · Accepted Answer

[n] $$=$$ Number of particles crossing a unit area in unit time $$=$$ [$$L-2T-1$$][$$n2$$] $$=$$ [$$n1$$]  $$=$$ number of particles per unit volume $$=$$ [$$L-3$$][$$x2$$] $$=$$ [$$x1$$] $$=$$ positions $$=$$ [L]∴ D $$=$$ [n][$$x2-x1$$][$$n2-n1$$]  $$=$$ [$$L-2T-1$$]×[L][$$L-3$$]  $$=$$ [$$L2T-1$$]

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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Number of particles is given by n = -Dn2-n1x2-x1 crossing a unit area perpendicular to X-axis in unit time, where n1 and n2 are number of particles per unit volume for the value of x meant to x2 and x1. Find dimensions of D called as diffusion constant

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Number of particles is given by $n = - D \frac{n_{2} - n_{1}}{x_{2} - x_{1}} crossing a unit area perpendicular to X - axis in unit time, where n_{1} and n_{2} are number of particles per unit volume for the value of x meant to x_{2} and x_{1} . Find dimensions of D called as diffusion constant$