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solmaris [256]
3 years ago
7

Please help me

Chemistry
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

B Nematoda

Explanation:

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4 years ago
Calculate the maximum solubility of silver carbonate, Ag2CO3 in g/L when in the presence of 0.057 M AgNO3. The solubility produc
Andreyy89

Answer:

Approximately 4.2 \times 10^{-7}\; \rm g \cdot L^{-1}.

Explanation:

Start by finding the concentration of \rm Ag_2CO_3 at equilibrium. The solubility equilibrium for

\rm Ag_2CO_3 \; (s) \rightleftharpoons 2\, Ag^{+}\; (aq) + {CO_3}^{2-}\; (aq).

The ratio between the coefficient of \rm Ag_2CO_3 and that of \rm Ag^{+} is 1:2. For

Let the increase in \rm {CO_3}^{2-} concentration be +x\; \rm mol \cdot L^{-1}. The increase in \rm Ag^{+} concentration would be +2\,x\; \rm mol \cdot L^{-1}. Note, that because of the 0.057\; \rm mol \cdot L^{-1}of \rm AgNO_3, the concentration of

  • The concentration of \rm Ag^{+} would be (0.057 + 2\, x) \; \rm mol\cdot L^{-1}.
  • The concentration of \rm {CO_3}^{2-} would be x\; \rm mol \cdot L^{-1}.

Apply the solubility product expression (again, note that in the equilibrium, the coefficient of \rm Ag^{+} is two) to obtain:

\begin{aligned}&\rm \left[Ag^{+}\right]^2 \cdot \left[{CO_3}^{2-}\right] = K_{\text{sp}} \\ & \implies (0.057 + x)^2\cdot x = 8.1 \times 10^{-12} \end{aligned}.

Note, that the solubility product of \rm Ag_2CO_3, K_{\text{sp}} = 8.1 \times 10^{-12} is considerably small. Therefore, at equilibrium, the concentration of

Apply this approximation to simplify (0.057 + x)^2\cdot x = 8.1 \times 10^{-12}:

0.057^2\, x \approx (0.057 + x)^2 \cdot x = 8.1 \times 10^{-12}.

\begin{aligned} x &\approx \frac{8.1 \times 10^{-12}}{0.057^2}\end{aligned}.

Calculate solubility (in grams per liter solution) from the concentration. The concentration of \rm Ag_2CO_3 is approximately \displaystyle \frac{8.1 \times 10^{-12}}{0.057^2}\; \rm mol\cdot L^{-1}, meaning that there are approximately \displaystyle n = \frac{8.1 \times 10^{-12}}{0.057^2}\; \rm mol of

\begin{aligned}m &= n \cdot M \\ &\approx \displaystyle \frac{8.1 \times 10^{-12}}{0.057^2} \; \rm mol\times 167.91\; g \cdot mol^{-1} \\ &\approx 4.2 \times 10^{-7}\; \rm g \end{aligned}.

As a result, the maximum solubility of \rm Ag_2CO_3 in this solution would be approximately 4.2 \times 10^{-7}\; \rm g \cdot L^{-1}.

8 0
3 years ago
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