QuestionJuly 31, 2025

Given the equilibrium constants for the following reactions: 4Cu(s)+O_(2)(g)leftharpoons 2Cu_(2)O(s),K_(1)=6.19 4CuO(s)leftharpoons 2Cu_(2)O(s)+O_(2)(g),K_(2)=0.16 what is K for the system 2Cu(s)+O_(2)(g)leftharpoons 2CuO(s) equivalent to? (Report your answer to four decimal places, i.e.xxxx) square

Given the equilibrium constants for the following reactions: 4Cu(s)+O_(2)(g)leftharpoons 2Cu_(2)O(s),K_(1)=6.19 4CuO(s)leftharpoons 2Cu_(2)O(s)+O_(2)(g),K_(2)=0.16 what is K for the system 2Cu(s)+O_(2)(g)leftharpoons 2CuO(s) equivalent to? (Report your answer to four decimal places, i.e.xxxx) square
Given the equilibrium constants for the following reactions:
4Cu(s)+O_(2)(g)leftharpoons 2Cu_(2)O(s),K_(1)=6.19
4CuO(s)leftharpoons 2Cu_(2)O(s)+O_(2)(g),K_(2)=0.16
what is K for the system
2Cu(s)+O_(2)(g)leftharpoons 2CuO(s)
equivalent to?
(Report your answer to four decimal places, i.e.xxxx)
square

Solution
4.5(298 votes)

Answer

0.0258 Explanation 1. Write the target reaction The target reaction is 2Cu(s) + O_{2}(g) \rightleftharpoons 2CuO(s). 2. Reverse and adjust reactions Reverse the first reaction: 2Cu_{2}O(s) \rightleftharpoons 4Cu(s) + O_{2}(g), K_1' = \frac{1}{6.19}. Adjust the second reaction: 2Cu_{2}O(s) + O_{2}(g) \rightleftharpoons 4CuO(s), K_2 remains unchanged. 3. Combine reactions Add the reversed first reaction and adjusted second reaction to get the target reaction: 2Cu(s) + O_{2}(g) \rightleftharpoons 2CuO(s). 4. Calculate equilibrium constant for the target reaction Use the formula K = K_1' \times K_2. Calculate: K = \frac{1}{6.19} \times 0.16.

Explanation

1. Write the target reaction<br /> The target reaction is $2Cu(s) + O_{2}(g) \rightleftharpoons 2CuO(s)$.<br />2. Reverse and adjust reactions<br /> Reverse the first reaction: $2Cu_{2}O(s) \rightleftharpoons 4Cu(s) + O_{2}(g)$, $K_1' = \frac{1}{6.19}$.<br /> Adjust the second reaction: $2Cu_{2}O(s) + O_{2}(g) \rightleftharpoons 4CuO(s)$, $K_2$ remains unchanged.<br />3. Combine reactions<br /> Add the reversed first reaction and adjusted second reaction to get the target reaction: $2Cu(s) + O_{2}(g) \rightleftharpoons 2CuO(s)$.<br />4. Calculate equilibrium constant for the target reaction<br /> Use the formula $K = K_1' \times K_2$. Calculate: $K = \frac{1}{6.19} \times 0.16$.
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