You place 3.00 mol of NOCl(g) in a reaction vessel. Equilibrium is established with respect to the decomposition reaction NOCl(g) NO(g) + 1/2 Cl2(g).
a. Derive an expression for in terms of the extent of reaction .
b. Simplify your expression for part (a) in the limit that is very small.
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c. Calculate and the degree of dissociation of NOCl in the limit that is very small at 375 K and a pressure of 2.00 bar.
d. Solve the expression derived in part (a) using a numerical equation solver for the conditions stated in the previous part. What is the relative error in made using the approximation of part (b)?