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Standard VI

Chemistry

Saturated Solution

If 6.539× 1...

Question

If $6.539 \times 10^{- 2}$ g of metallic zinc is added to $100$ ml saturated solution of AgCl. Find the value of $l o g_{10} \frac{[Z n^{2 +}]}{[A g^{+}]^{2}}$ .

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Solution

According to the problem:-
$2 A g^{+} + 2 e \to 2 A g; (E^{\circ} = 0.80 v)$ $S i n c e, (\frac{65.39 \times 10^{- 2}}{65.39} = 10^{- 3} m o l e s o f z n h a s b e e n a d d e d)$
$Z n \to Z n^{2 +} + 2 e; (E^{\circ} = 0.80 v)$
Hence,

$2 A g^{+} (a q) + Z n (s) \to Z n^{2 +} (e q) + 2 A (s); E^{\circ} = 1.57 v$

${log}_{10} K_{(e q)} = 52.8$
Therefore, if the reaction will move in the forward direction completely. Hence moles of $A g$ formed will be $10^{- 6}$
(At Equilibrium $E_{c e 11} = 0$ )

${E^{\circ}}_{c e 11} = \frac{+ 0.0591}{2} {log}_{10} \frac{[{Z_{n}}^{+ 2}]}{{[A g^{+}]}^{2}}$
Hence,
$\frac{1.56 \times 2}{0.0591} = log \frac{[{Z_{n}}^{+ 2}]}{{[A g^{+ 2}]}^{2}} = 52.8$

Hence the answer is $52.8$

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Similar questions

(I) For the reaction,

A g^{+} (a q) + C l^{-} (a q)_{\to} A g C l (s)

Write the cell representation of above reaction and calculate

E^{o}

at 298 K.

Given:

Species	$Δ G_{f} (k J / m o l)$
$A g^{+} (a q)$	+77
$C l^{-} (a q)$	-129
$A g C l (s)$	-109

(II) Calculate the

{log}_{10} K_{s p} (A g C l)

at 298 K.

(III) If

6.539 \times 10^{- 2} g

of metallic zinc is added to 100 ml saturated solution of

A g C l

, find the value of

{log}_{10} \frac{[Z n^{2 +}]}{[A g^{+}]^{2}}

(IV)How many moles of Ag will be precipitated in the above reaction?

Given that-

A g^{+} + e^{-} \to

Ag;

E^{o} = 0.80 V

Z n^{2 +} + 2 e^{-} \to

Zn;

E^{o} = - 0.76 V

(It was given that Atomic mass of Zn

= 65.39

)

Q. 100 mL of a clear saturated solution of

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A g C l [K_{s p} (A g C l) = 1.6 \times 10^{- 10}]

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A g C l (K_{s p} (A g C l) = 1.6 \times 10^{- 10}]

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If 6.539×10−2g of metallic zinc is added to 100 ml saturated solution of AgCl. Find the value of log10[Zn2+][Ag+]2.

If $6.539 \times 10^{- 2}$ g of metallic zinc is added to $100$ ml saturated solution of AgCl. Find the value of $l o g_{10} \frac{[Z n^{2 +}]}{[A g^{+}]^{2}}$ .