Answer
K = $1.6\times10^{-7}$
Work Step by Step
According to the law of mass action, a general formula of the form
jA + kB ⇌ lC + mD
is represented by the following equilibrium expression:
K = $\frac{[C]^{l}[D]^{m}}{[A]^{j}[B]^{k}}$
where A, B, C, and D represent the chemical species and j, k, l, and m are their coefficients in the balanced equation.
- Work -
First, we must calculate the concentrations:
$[NO] = 4.5\times10^{3}mol \div 3.0L = 1.5\times10^{3}M$
$[Cl_{2}] = 2.4mol \div 3.0L = 8.0\times10^{-1}M$
$[NOCl] = 1.0mol \div 3.0L = 3.33\times10^{-1}M$ (one extra significant digit carried)
K = $\frac{[NO_{2}]^{2}[Cl_{2}]}{[NOCl]^{2}}$
K = $\frac{(1.5\times10^{-3})^{2}(8.0\times10^{-1})}{(3.33\times10^{-1})^{2}}$
K = $1.62\times10^{-7}$ (carried one extra significant digits)
K = $1.6\times10^{-7}$
