In the formula, N=-D[(n_(2)-n_(1))/(x_(2)-x_(1))], D - Diffusion coefficient, n_(1) and_(2) is number of molecules in unit volume along x_(1) and x_(2) which represents distances where N is number of molecules passing through per unit area per unit time. Calculate dimensions of D.

In the formula, N=-D[(n_(2)-n_(1))/(x_(2)-x_(1))], D - Diffusion coeff

1.	In the formula, N=-D[(n_(2)-n_(1))/(x_(2)-x_(1))], D - Diffusion coefficient, n_(1) and_(2) is number of molecules in unit volume along x_(1) and x_(2) which represents distances where N is number of molecules passing through per unit area per unit time. Calculate dimensions of D.
Answer» Solution :By HOMOGENEITY theory of dimensions, `"Dimensions of (N) = dimension of D "XX("dimension of "(n_(2)-n_(1)))/("dimension of "(x_(2)-x_(1)))` `(1)/(L^(2)T)="dimensions of D"xx(L^(-3))/(L)` `"Dimensions of D"=(L)/(L^(-3)XXL^(2)T)=(L^(2))/(T)` `=[M^(0)L^(2)T^(-1)]`