A certain gas polymerises to a small extent at a given temperature and pressure :

CHEMISTRY · Subjective · A Level · Chemistry · Chemical equilibria (Le Chatelier’s principle and Kc) · Chemical equilibria (Le Chatelier’s principle and Kc)

Problem

A certain gas AA polymerises to a small extent at a given temperature and pressure : nA⇌(A)nnA \rightleftharpoons (A)_n . Show that the gas obeys the approximate equation : PVRT=[1−(n−1)KCVn−1].\frac{PV}{RT} = \left[ 1 - \frac{(n-1)K_C}{V^{n-1}} \right]. where KC=[An][A]nK_C = \frac{[A_n]}{[A]^n} and VV is the volume of the container. Assume initially one mole of AA was taken in the container.

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