# Problem: Suppose that the gas-phase reactions A → B and B→ A are both elementary processes with rate constants of 4.7 x 10-3 s-1 and 5.8 x 10-1 s-1, respectively.Which is greater at equilibrium, the partial pressure of A or the partial pressure of B?A(g) ⇌ B(g)

###### FREE Expert Solution

We are being asked to determine which will give a greater partial pressure at equilibrium for the given reaction

A(g)  B(g)

We are given the two elementary processes and their rate constant.

AB ; k = 4.7 x 10-3 s-1

A ; k = 5.8 x 10-1 s-1

Recall: Associated with any reaction at equilibrium is the equilibrium constant K

Its numerical value determines if reactants or products are more greatly favored within a reaction

If K > 1      then the products > reactants and the forward direction is favored.

If K < 1      then the products < reactants and the reverse direction is favored.

If K = 1      then the products = reactants.

The equilibrium constant, K, can be expressed as the ratio of the forward and reverse rate constant

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###### Problem Details

Suppose that the gas-phase reactions A → B and B→ A are both elementary processes with rate constants of 4.7 x 10-3 s-1 and 5.8 x 10-1 s-1, respectively.

Which is greater at equilibrium, the partial pressure of A or the partial pressure of B?

A(g) ⇌ B(g)