In: Chemistry
At 1700 degrees C, the equilibrium constant, Kc, for the following reaction is 4.10 × 10^-4.
N2 (g) +O2 (g) <---> 2NO (g)
What percentage of O2 will react to form NO if 0.713 mol of N2 and 0.713 mol of O2 are added to a 0.521-L container and allowed to come to equilbrium at 1700 degrees C?
Molarity of O2 = Molarity of N2 = moles/volume in L = 0.713/0.521 = 1.368M
N2 (g) +O2 (g) <---> 2NO (g)
Initial 1.368 1.368 0
Final (1.368-x) (1.368-x) 2x
Taking underoot both sides we get
2.024 * 10^(-2) = 2x/(1.368-x)
assuming 1.368-x is approximately equal to 1.38
2x = 2.024 * 1.38 * 10^(-2)
x = 1.39656 * 10^(-2)
Percentage of O2 reacted = 1.39656 * 10^(-2)/1.368 * 100 = 1.0208%