What is equilibrium constant for the reaction- 3Ag2Ss - Ba3AsO42s - 3H- 2Ag3AsO4s - 3HS- - 3Ba2-Given Ka2 for H2S is 1-10- 1015 and KSP for Ba3AsO42- Ag2S and Ag3AsO4 are 7-70- 10-51- 2-0- 10-49 and 1-0- 10-22 respectively-

K_a2= [H^+][S^2 ][HS^ ]=1.10 × 10^ 15 K_sp Ba_3(AsO_4)_2 = [Ba^2+]^3[AsO_4^3 ]^2 = 7.70 × 10^ 51 K_sp Ag_2S = [Ag^+]^2[S^2 ] = 2.0 × 10^ 49 K_spA ...

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Byju's Answer

Standard XII

Chemistry

Gibb's Energy and Nernst Equation

What is equil...

Question

What is equilibrium constant for the reaction:
$3 A g_{2} S_{(s)} + B a_{3} (A s O_{4})_{2 (s)} + 3 H^{+} ⇌ 2 A g_{3} A s O_{4 (s)} + 3 H S^{-} + 3 B a^{2 +}$
Given $K_{a_{2}}$ for $H_{2} S$ is $1.10 \times 10^{15}$ and $K_{S P}$ for $B a_{3} (A s O_{4})_{2}, A g_{2} S$ and $A g_{3} A s O_{4}$ are $7.70 \times 10^{- 51}, 2.0 \times 10^{- 49}$ and $1.0 \times 10^{- 22}$ respectively.

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Solution

$K_{a 2} = \frac{[H^{+}] [S^{2 -}]}{[H S^{-}]} = 1.10 \times 10^{- 15}$
$K_{s p} B a_{3} (A s O_{4})_{2} = [B a^{2 +}]^{3} [A s O_{4}^{3 -}]^{2} = 7.70 \times 10^{- 51}$
$K_{s p} A g_{2} S = [A g^{+}]^{2}$ [S^{2-}] = 2.0 \times 10^{-49}K_{sp}Ag_3AsO_4 = [Ag^+]^3[AsO_4^{3-}] = 1.0 \times
10^{-22}$

The equilibrium constant expression is $K = \frac{[H S^{-} (a q)]^{3} [B a^{2 +} (a q)]^{3}}{[H^{+} (a q)]^{3}}$
$K = \frac{(\frac{[H^{+}] [S^{2 -}]}{K_{a 2}})^{3} \times \frac{K_{s p} B a_{3} (A s O_{4})^{2}}{[A s O_{4}^{3 -}]}}{[H^{+}]^{3}}$ .

$K = \frac{[S^{2 -}]^{3} \times K_{s p} B a_{3} (A s O_{4})_{2}}{(K_{a 2})^{3} \times (\frac{K_{s p} A g_{3} A s O_{4}}{[A g^{+}]^{3}})^{2}}$ .

$K = \frac{(\frac{K_{s p} A g_{2} S}{[A g^{+}]^{2}})^{3} \times K_{s p} B a_{3} (A s O_{4})_{2}}{(K_{a 2})^{3} \times (\frac{K_{s p} A g_{3} A s O_{4}}{[A g^{+}]^{3}})^{2}}$ .

$K = \frac{(K_{s p} A g_{2} S)^{3} (K_{s p} B a_{3} (A s O_{4})_{2})}{(k_{s p} A g_{3} A s O_{4})^{2}}$

$K = \frac{(2.0 \times 10^{- 49})^{3} (7.70 \times 10^{- 5})}{(1.6 \times 10^{- 22})^{2}} = 4.63 \times 10^{- 108} = x \times 10^{- 108}$

$x = 4.63$

$100 x = 463$ .

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What is equilibrium constant for the reaction:3Ag2S(s)+Ba3(AsO4)2(s)+3H+⇌2Ag3AsO4(s)+3HS−+3Ba2+Given Ka2 for H2S is 1.10×1015 and KSP for Ba3(AsO4)2,Ag2S and Ag3AsO4 are 7.70×10−51,2.0×10−49 and 1.0×10−22 respectively.