Inside a vessel with a piston (which can be used to adjust the total pressure) i

Question

Inside a vessel with a piston (which can be used to adjust the total pressure) is placed a large number of gas-phase N_2O_4 molecules, which can then dissociate via the reaction: N_2O_4 rightleftharpoons 2 NO_2 Let f be the expected fraction of the initial N_2O_4 molecules which are dissociated into (pairs of) NO_2 molecules when equilibrium is reached. At a given temperature T, deduce the dependence of f on the total pressure P (not the partial pressures of the separate species), treating both chemical species as ideal gases. Express your answer in terms of K_P(T) for this reaction, which you need not evaluate explicitly.

Explanation / Answer

For the dissociation of N2O4

N2O4. = 2 NO2

1mole 0 mol

1- x 2x .total no. Of moles = 1-x+2x = 1 +x

1-x/1+x 2x/1+x (

mole fractions)

now f= 1-x/1+x

so Kp = (NO2)2/N2O4

So on putting the values the value of reactant and product

f = (2x/1+x)2/Kp

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