The rate of a gaseous reaction is generally expressed in terms of `(dP)/(dt)`. If it were expressed in terms of change in number of moles per unit time `((dn)/(dt))` or in terms of change in molar concentration per unit time `((dC)/(dt))`, which of the following relationship will hold good ?

Options

A. `(dC)/(dt)=(dn)/(dt)=(dP)/(dt)`
B. `(dC)/(dt)=(1)/(V)((dn)/(dt))=(1)/(RT)((dP)/(dt))`
C. `(dC)/(dt)=(dn)/(dt)=(V)/(RT)((dP)/(dt))`
D. None of these

Answer

B

Explanation

`C = (n)/(V) therefore (dC)/(dt) = (1)/(V) (dn)/(dt)`
As `PV = n RT, i.e., P= (n)/(V) RT = CRT`
or `C = (P)/(RT) therefore (dC)/(dt) = (d)/(dt)((P)/(RT)) = (1)/(RT) (dP)/(dt)`