Question

in this formula , N= -D { n2 - n1 / x2- x1 } where d = diffusion coefficient n1 and n2 is number of molecules in unit volume along x 1 and x2 which represents distances and N is number of molecules passing through per unit area per unit time calculate dimensions of D​

Answer 1

Explanation:

N= no. of particle per unit area per unit time

n

1

& n

2

= no. of particle per unit volume

x

1

& x

2

are distance from some reference point.

Dimension of

′

N

′

=[L

−2

T

−1

]

Dimensional formula of n

1

& n

2

=[L

−3

]

Dimensional formula of x

1

& x

2

= [L]

N=−D

x

2

−x

1

n

2

−n

1

D=−N[

n

2

−n

1

x

2

−x

1

]

=

[L

−3

]

[L

−2

T

−1

][L]

D=[M

0

L

2

T

−1

]