## unique rate [ENDORSED]

$aR \to bP, Rate = -\frac{1}{a} \frac{d[R]}{dt} = \frac{1}{b}\frac{d[P]}{dt}$

megangeorge-1K
Posts: 59
Joined: Thu Feb 01, 2018 3:01 am

### unique rate

what is the difference between a unique rate vs. an instantaneous rate?

Miya Lopez 1I
Posts: 62
Joined: Tue Nov 14, 2017 3:00 am
Been upvoted: 1 time

### Re: unique rate

Unique rate of reaction looks like $-\frac{1}{C}*\frac{\Delta \left \lfloor R1 \right \rfloor}{\Delta t}$

and instantaneous reaction has the form $\lim_{x\rightarrow 0} \frac{\Delta \left [ concentration \right ]}{dt}$ or $\frac{d\left [ concentration \right ]}{dt}$

the instantaneous rate is more accurate.

juleschang16
Posts: 55
Joined: Fri Sep 28, 2018 12:19 am

### Re: unique rate  [ENDORSED]

I found this posted by chem mod in another post regarding the same question:
"AVERAGE RATE = (CONC(t2) − CONC(t1))/(t2 −t1) = ∆CONC/∆t

INSTANTANEOUS RATE = −(d[R])/dt
OR
INSTANTANEOUS RATE = (d[P])/dt

AVERAGE & INSTANTANEOUS RATES CAN BE DIFFERERENT FOR THE INDIVIDUAL R & P.
THINK OF THEM AS THE EXPERIMENTALLY MEASURED RATES (COLLECTED DATA) OVER LONG TIME INTERVALS (∆) OR SHORT TIME INTERVALS (d).

UNLIKE THE UNIQUE RATE WHICH IS CALCULATED AND IS THE SAME FOR ALL R & P IN THAT ‘UNIQUE’ REACTION WHERE:

UNIQUE RATE = −1/a (d[A])/dt = 1/b (d[B])/dt = 1/c (d[C])/dt

IN THE REACTION: a A ---> b B + c C"

megangeorge-1K
Posts: 59
Joined: Thu Feb 01, 2018 3:01 am

### Re: unique rate

these were very helpful thank you so much