The rate of reaction with respect to
at that particular moment is
. The negative sign indicates the consumption of NOCl.
To answer this question, we need to use the information given in the statement about the rate of reaction with respect to
. The statement is:
![\[ \text{Rate} = (1)/(2)(\Delta [NOCl])/(\Delta t) \]](https://img.qammunity.org/2024/formulas/chemistry/college/d56vh76ffpmtwx9l1eyyoroi4yrm6m3jkx.png)
The given information is that the concentration of NO is changing at a rate of
and the balanced equation is

Since the coefficient of NOCl is 2 in the balanced equation, the rate of formation of NOCl
is twice the rate of change of NO
![(\((\Delta [NO])/(\Delta t)\)).](https://img.qammunity.org/2024/formulas/chemistry/college/g3pz35tzaxd4p5lwvtgqfamyw5g7wdbqsd.png)
Therefore, the rate of formation of NOCl is
So, the rate of reaction with respect to
at that particular moment is
The negative sign indicates the consumption of NOCl.
\
The probable question maybe:
If the concentration of NO is changing at a rate of
what is the rate of reaction with respect to \([NOCl]\) at that particular moment?
This question allows you to use the given statement about the rate of reaction with respect to \([NOCl]\) and apply it to a specific scenario where the concentration of NO is changing. The rate of reaction with respect to \([NOCl]\) would be the positive value corresponding to the rate of formation of NOCl.