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For the equilibrium system 2HX(g) ⇌ H2(g) + X2(g) the equilibrium constant is 1.0 × 10^-5. What is the concentration of HX if the equilibrium concentration of H2 and X2 are 1.2 × 10^-3 M, and 1.2 × 10^-4 M respectively.

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For the equilibrium system

2HX(g) ⇌ H2(g) + X2(g)

the equilibrium constant is 1.0 × 10-5. What is the concentration of HX if the equilibrium concentration of H2 and X2 are 1.2 × 10-3 M, and 1.2 × 10-4 M respectively.

(a) 12 × 10-4 M

(b) 12 × 10-3 M

(c) 12 × 10-2 M

(d) 12 × 10-1 M

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Answer is (c) 12 × 10-2 M

2HX(g) ⇌ H2(g) + X2(g)

At equation, 1.2 x 10-3 M  1.2 x 10-4 M

Keq = \(\frac{[H_2][X_2]}{[HX]^2}\)

10-5 = \(\frac{1.2 \times 10^{-3} \times 1.2 \times 10^{-4}}{[HX]^2}\)

[HX] = \(\sqrt{\frac{1.2 \times 1.2 \times 10^{-7}}{10^{-5}}}\)

= 1.2 x 10-1 M

= 12 x 10-2 M

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