Answer
$K_c = 2.6 \times 10^{-9}$
Work Step by Step
1. Write the equilibrium constant expression:
- The exponent of each concentration is equal to its balance coefficient.
$K_c = \frac{[Products]}{[Reactants]} = \frac{[ Br_2 ][ F_2 ]^{ 5 }}{[ BrF_5 ]^{ 2 }}$
2. Substitute the values and calculate the constant value:
$K_c = \frac{( 0.0018 )( 0.0090 )^{ 5 }}{( 0.0064 )^{ 2 }} = 2.6 \times 10^{-9}$
