Equilibrium

Equilibrium

Question

The equilibrium constant for the reaction N2(g) + O2(g) ⇌ 2NO(g) at temperature T is 4×10-4. The value of Kc for the reaction NO(g) ⇌ 1/2N2(g) + 1/2O2(g) at the same temperature.

  • 2.5×102

  • 0.02

  • 4 x 10-4

  • 50

Answer

D.

50

straight N subscript 2 space left parenthesis straight g right parenthesis space space plus space straight O subscript 2 left parenthesis straight g right parenthesis space rightwards harpoon over leftwards harpoon with space space on top 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 space 10 to the power of negative 4 end exponent
NO space rightwards harpoon over leftwards harpoon with space on top space 1 half space straight N subscript 2 space left parenthesis straight g right parenthesis space space plus space 1 half space straight O subscript 2 space left parenthesis straight g right parenthesis space
Kc to the power of 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 space left square bracket straight O subscript 2 right square bracket to the power of 1 divided by 2 end exponent over denominator left square bracket NO right square bracket end fraction
space equals space square root of 1 over straight K subscript straight c end root space equals space square root of fraction numerator 1 over denominator 4 space straight x space 10 to the power of negative 4 end exponent end fraction end root space equals space 50

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