Answer
Please see the work below.
Work Step by Step
We know that
$[PCl_5]=\frac{[PCl_3][Cl_2]}{k_c}$
We plug in the known values to obtain:
$[PCl_5]=\frac{0.020(0.020)}{0.0415}=9.63\times 10^{-3}M$
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