Equilibrium

Equilibrium

Question

The equilibrium constant (Kc) for the reaction, N2(g) + O2 (g) → 2NO (g) at temperature T is 4 x 10-4. The value of Kc for the reaction NO space left parenthesis straight g right parenthesis space rightwards arrow 1 half space straight N subscript 2 space left parenthesis straight g right parenthesis space plus 1 half straight O subscript 2 space left parenthesis straight g right parenthesis at the same temperature is

  • 0.02

  • 2.5 x 102

  • 4 x 10-4

  • 50.0

Answer

D.

50.0

straight N subscript 2 space left parenthesis straight g right parenthesis space plus space straight O subscript 2 space left parenthesis straight g right parenthesis space rightwards arrow space 2 NO space left parenthesis straight g right parenthesis
straight K subscript straight c space equals space fraction numerator left square bracket NO right square bracket squared over denominator left square bracket straight N subscript 2 right square bracket left square bracket straight O subscript 2 right square bracket end fraction space equals space 4 space straight x 10 to the power of negative 4 end exponent
2 space NO left parenthesis straight g right parenthesis space rightwards arrow space straight N subscript 2 space left parenthesis straight g right parenthesis space plus space straight O subscript 2 space left parenthesis straight g right parenthesis
straight K subscript straight c apostrophe space equals space 1 over straight K subscript straight c space equals space fraction numerator left square bracket straight N subscript 2 right square bracket left square bracket straight O subscript 2 right square bracket over denominator left square bracket NO subscript 2 right square bracket end fraction space equals space fraction numerator 1 over denominator space 4 space straight x 10 to the power of negative 4 end exponent end fraction space equals space 10 to the power of 4 over 4
NO space left parenthesis straight g right parenthesis space rightwards arrow 1 half space straight N subscript 2 space left parenthesis straight g right parenthesis space plus space 1 half space straight O subscript 2 space left parenthesis straight g right parenthesis
straight K subscript straight c apostrophe apostrophe space equals space fraction numerator left square bracket straight N subscript 2 right square bracket to the power of 1 divided by 2 end exponent left square bracket straight O subscript 2 right square bracket over denominator left square bracket NO subscript 2 right square bracket squared end fraction
space equals space square root of straight K subscript straight c apostrophe end root space equals space square root of 10 to the power of 4 over 4 end root
space equals space 100 over 2 space equals space 50

More Chapters from Equilibrium