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zhuklara [117]
3 years ago
9

Assume a reaction takes place in a basic solution to form the given products: mno4-(aq) + cl-(aq) --------> mno2(s) + cl2(g)

(unbalanced)
i. Balance the given half reactions for atoms and charge
Chemistry
1 answer:
VARVARA [1.3K]3 years ago
3 0
<span>To balance, we write it in its half reactions and balance the half reactions by adding H2O, OH-, H+ and electrons. We do as follows:

MnO4-(aq) + Cl-(aq) --------> MnO2(s) + Cl2(g) 


</span>2 (2H2O + MnO2 --> MnO4- + 4H+ 3e- )
<span>3 (2e- + Cl2 --> 2Cl- )
</span>
4H2O + 2MnO2 -----> 2MnO4- + 8H+ + 6e- 
<span>6e- + 3Cl2 -------> 6Cl- 
</span>----------------------------------------------------------------------
<span>4H2O + 2MnO2 + 3Cl2 --------> 2MnO4- + 6Cl- + 8H+ 

Since it is in a basic solution,

</span>8OH- + 2MnO2 + 3Cl2 -----> 2MnO4- + 6Cl- + 4H2O 



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[\text{Y}] \approx0.337\;\text{mol}\cdot\text{dm}^{-3} at equilibrium.

<h3>Explanation</h3>

Concentration for each of the species:

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There was no Y to start with; its concentration could only have increased. Let the change in [\text{Y}] be +x \; \text{mol}\cdot \text{dm}^{-3}.

Make a \textbf{RICE} table.

Two moles of X will be produced and two moles of Z consumed for every one mole of Y produced. As a result, the <em>change</em> in [\text{X}] will be +2\;x \; \text{mol}\cdot \text{dm}^{-3} and the <em>change</em> in [\text{Z}] will be -2\;x \; \text{mol}\cdot \text{dm}^{-3}.

\begin{array}{l|ccccc}\textbf{R}\text{eaction}&2\; \text{X}\; (g) & + &\text{Y}\; (g) & \rightleftharpoons &2 \; \text{Z}\; (g)\\\textbf{I}\text{nitial Condition}\; (\text{mol}\cdot\text{dm}^{-3})& 2 & &0 & & 3 \\\textbf{C}\text{hange in Concentration}\; (\text{mol}\cdot\text{dm}^{-3})\;& +2\;x & &+x &&-2\;x\\\textbf{E}\text{quilibrium Condition}\; (\text{mol}\cdot\text{dm}^{-3})& & &&&\end{array}.

Add the value in the C row to the I row:

\begin{array}{l|ccccc}\textbf{R}\text{eaction}&2\; \text{X}\; (g) & + &\text{Y}\; (g) & \rightleftharpoons &2 \; \text{Z}\; (g)\\\textbf{I}\text{nitial Condition}\; (\text{mol}\cdot\text{dm}^{-3})& 2 & &0 & & 3 \\\textbf{C}\text{hange in Concentration}\; (\text{mol}\cdot\text{dm}^{-3})\;& +2\;x & &+x &&-2\;x\\\textbf{E}\text{quilibrium Condition}\; (\text{mol}\cdot\text{dm}^{-3})& 2 + 2\;x & &x&&3-2\;x\end{array}.

What's the equation of K_c for this reaction? Raise the concentration of each species to its coefficient. Products go to the numerator and reactants are on the denominator.

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Hence the equilibrium concentration of Y: 0.337\;\text{mol}\cdot\text{dm}^{-3}.

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