## Equilibrium constant and elementary reaction rate constants

$\frac{d[R]}{dt}=-k[R]; \ln [R]=-kt + \ln [R]_{0}; t_{\frac{1}{2}}=\frac{0.693}{k}$

ShravanPatel2B
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Joined: Fri Aug 30, 2019 12:18 am

### Equilibrium constant and elementary reaction rate constants

How is the equilibrium constant related to the forward and reverse rate constants of the
elementary reactions contributing to an overall reaction?

Jack Riley 4f
Posts: 100
Joined: Sat Aug 24, 2019 12:17 am

### Re: Equilibrium constant and elementary reaction rate constants

K=(k'/k) is the relationship between equilibrium constant and rate constants

Niharika 1H
Posts: 50
Joined: Thu Jul 25, 2019 12:16 am

### Re: Equilibrium constant and elementary reaction rate constants

The eq constant K = kf/kr.

WYacob_2C
Posts: 102
Joined: Sat Jul 20, 2019 12:16 am

### Re: Equilibrium constant and elementary reaction rate constants

The equilibrium constant is equal to k(forward)/k(reverse). This is helpful when converting the concentration of intermediate species into concentrations of reactants of the overall reaction when given elementary reactions.

Sartaj Bal 1J
Posts: 101
Joined: Thu Jul 25, 2019 12:17 am

### Re: Equilibrium constant and elementary reaction rate constants

For a forward reaction that is endothermic, increasing the equilibrium constant means that the forward rate constant will increase as well.

Kevin Xu 4F
Posts: 50
Joined: Fri Aug 09, 2019 12:16 am

### Re: Equilibrium constant and elementary reaction rate constants

In an equilibrium reaction, there is a forward reaction and a reverse reaction happening at the same time. The forward reaction's rate can be modeled as rate=k[reactants] and the reverse reaction's rate can be modeled as rate = k'[products]. At equilibrium, since the rates of forward and reverse reactions are equal, you can set these equal to each other and rearrange the rate constants on one side to get k/k' = [products]/[reactants]