What are the units of k in the following expression: rate = k [a][b]? s-1m-1s-1m-2s-1m

Answer : The unit of 'k' of the given expression will be,

Explanation:

Rate of reaction : It is defined as the rate of change in concentration of reactant or product with respect to time.

The given rate expression is,

From this expression we conclude that the power of concentration of reactant A and B are 1, 1. That means it is a second order reaction.

The formula for determining the unit of 'k' is:

where, n = order of reaction

The unit of concentration is, M or mole/L

The unit of time is, second or 's'.

When n = 0

The unit of 'k' =

When n = 1

The unit of 'k' =

When n = 2

The unit of 'k' =

and so on.....

Therefore, the unit of 'k' of the following expression is,

a gas, having a molecular weight of 13 kg/kmol and a kinematic viscosity of 0.25 cm2/s, flows through a pipe 0.25 m internal diameter and 5 km long at the rate of 0.4 m3/s and is delivered at atmospheric pressure.