Answer
$$K = 4.0 \times 10^6$$
Work Step by Step
- The exponent of each concentration is equal to its balance coefficient.
$$K = \frac{[Products]}{[Reactants]} = \frac{[ N_2 ][ H_2O ] ^{ 2 }}{[ NO ] ^{ 2 }[ H_2 ] ^{ 2 }}$$
2. Substitute the values and calculate the constant value:
$$K = \frac{( 5.3 \times 10^{-2} )( 2.9 \times 10^{-3} )^{ 2 }}{( 8.1 \times 10^{-3} )^{ 2 }( 4.1 \times 10^{-5} )^{ 2 }} = 4.0 \times 10^{6}$$
