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Chapter 2: Problem 39

For each of the questions, four choices have been provided. Select the correct alternative. Which of the following \(\mathrm{K}_{\mathrm{c}}\) values corresponds to the maximum yield of the products? (a) \(9.2 \times 10^{2}\) (b) \(1.8 \times 10^{-15}\) (c) \(2.8 \times 10^{3}\) (d) \(3.4 \times 10^{-25}\)

Short Answer

Expert verified
a) 9.2 x 10^2 b) 1.8 x 10^-15 c) 2.8 x 10^3 d) 3.4 x 10^-25 Answer: c) 2.8 x 10^3

Step by step solution

01

Identify \(\mathrm{K}_{\mathrm{c}}\)

\(\mathrm{K}_{\mathrm{c}}\) is the equilibrium constant, which indicates the extent to which a reaction proceeds before reaching chemical equilibrium. The larger the value of \(\mathrm{K}_{\mathrm{c}}\), the more the reaction tends to favor the formation of products. For example, if \(\mathrm{K}_{\mathrm{c}}> 1\), the reaction favors the formation of products, while if \(\mathrm{K}_{\mathrm{c}}< 1\), the reaction favors the formation of reactants.
02

Compare the given \(\mathrm{K}_{\mathrm{c}}\) values

We are given four values of \(\mathrm{K}_{\mathrm{c}}\) and need to determine which one corresponds to the maximum yield of the products: (a) \(9.2 \times 10^{2}\) (b) \(1.8 \times 10^{-15}\) (c) \(2.8 \times 10^{3}\) (d) \(3.4 \times 10^{-25}\) By comparing these values, we can identify the largest value of \(\mathrm{K}_{\mathrm{c}}\).
03

Choose the highest \(\mathrm{K}_{\mathrm{c}}\) value

By comparing the given \(\mathrm{K}_{\mathrm{c}}\) values, we can see that value (c) is the largest: \(2.8 \times 10^{3} > 9.2 \times 10^{2} > 1.8 \times 10^{-15} > 3.4 \times 10^{-25}\) Since (c) is the highest value, the maximum yield of the products corresponds to \(\mathrm{K}_{\mathrm{c}} = 2.8 \times 10^{3}\). So, the correct answer is: (c) \(2.8 \times 10^{3}\)

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Most popular questions from this chapter

For each of the questions, four choices have been provided. Select the correct alternative. For a particular reaction, \(A+B \rightarrow C\) was studied at \(25^{\circ} \mathrm{C}\). The following results are obtained: $$ \begin{array}{|c|c|c|} \hline \begin{array}{c} {[\mathrm{A}]} \\ \text { mole } / \mathrm{I} \end{array} & \begin{array}{c} {[\mathrm{B}]} \\ \text { moles } / \mathrm{I} \end{array} & \begin{array}{c} \text { Rate } \\ \left(\mathrm{mole} \mathrm{I}^{-1} \mathrm{~s}^{-1}\right) \end{array} \\ \hline 9 \times 10^{-5} & 1.5 \times 10^{-2} & 0.06 \\ \hline 9 \times 10^{-5} & 3 \times 10^{-3} & 0.012 \\ \hline 3 \times 10^{-5} & 3 \times 10^{-3} & 0.004 \\ \hline 6 \times 10^{-5} & \mathrm{x} & 0.024 \\ \hline \end{array} $$ Then the value of \(\mathrm{x}\) is ________ (a) \(6 \times 10^{-3} \mathrm{~m} \ell^{-1}\) (b) \(3 \times 10^{-3} \mathrm{~m} \ell^{-1}\) (c) \(4.5 \times 10^{-3} \mathrm{~m} \ell^{-1}\) (d) \(9 \times 10^{-3} \mathrm{~m} \ell^{-1}\)

For each of the questions, four choices have been provided. Select the correct alternative. According to Le Chatelier's principle, (a) an increase in pressure always causes a change in position of equilibrium for any reaction (b) the yield of \(\mathrm{NH}_{3}\) decreases from its constituents at lower temperature (c) an increase in temperature causes a decrease in the value of \(\mathrm{K}_{\mathrm{c}}\) for an exothermic reaction (d) the \(\mathrm{K}_{\mathrm{c}}\) is decreased for the reaction \(\mathrm{A}_{(\mathrm{s})}+\mathrm{B}_{(\mathrm{g})}\) \(\rightarrow \mathrm{C}_{(\mathrm{g})}\), if the concentration of \(\mathrm{A}\) is increased

If \(\mathrm{K}_{\mathrm{C}}\) for the formation of ammonia is \(2 \mathrm{moles}^{-2} \ell^{2}\), \(\mathrm{K}_{\mathrm{c}}\) for decomposition of ammonia is ___________.

For each of the questions, four choices have been provided. Select the correct alternative. If an activated complex is formed in chemical reactions according to the collision theory, which of the following is true with respect to its stability? (a) It is highly stable because it has high energy. (b) It is less stable because it has lower energy. (c) It is less stable because it has high energy. (d) None of the above.

For each of the questions, four choices have been provided. Select the correct alternative. The equilibrium constant for the given reaction, \(\mathrm{CaCO}_{3(\mathrm{~s})} \mathrm{CaO}_{(\mathrm{s})}+\mathrm{CO}_{2}(\mathrm{~g})\) is given by (a) \(\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{CaO}] \cdot\left[\mathrm{CO}_{2}\right]}{\left[\mathrm{CaCO}_{3}\right]}\) (b) \(\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{CaO}]}{\left[\mathrm{CaCO}_{3}\right]}\) (c) \(\mathrm{K}_{\mathrm{c}}=\left[\mathrm{CO}_{2}\right]\) (d) \(\mathrm{K}_{\mathrm{c}}=\frac{[\mathrm{CaO}]}{\left[\mathrm{CO}_{2}\right]}\)
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