Write the generalized equation for the equilibrium concentration for the product

Question

Write the generalized equation for the equilibrium concentration for the products of equation

A --> B + 2 C

Assume a large equilibrium constant for the reaction (a large amount of reactants is consumed, x is not small and can not be neglected) Start from initial concentrations equal to one mole per liter. It is not necessary to solve for the roots of the equation which results. One may stop when one reaches the cubic equation of the form.

ax^3 + bx^2 + cx + d = 0

Explanation / Answer

A------>B +2C 1-x x 2x K = (2x)(x)/(1-x) = 2x^2/(1-x) 2x^2 = k-kx 2x^2+kx-k=0

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