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Let us consider the following reaction :...

Let us consider the following reaction :
`KO_(x) + H_(2)O rarr KOH + H_(Y)O_(Z) + O_(2)`
(unbalanced equation )
`KO_(x)` is a chrome yellow powder . What is the value of X ?

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The correct Answer is:
To determine the value of X in the compound KO_(x), we need to analyze the given reaction and the properties of the compound mentioned. ### Step-by-Step Solution: 1. **Identify the Compound**: The question states that KO_(x) is a chrome yellow powder. The compound that corresponds to this description is potassium superoxide, which is represented as KO2. 2. **Write the Reaction**: The unbalanced reaction is given as: \[ KO_x + H_2O \rightarrow KOH + H_YO_Z + O_2 \] We suspect that KO_x is KO2 based on the description. 3. **Substituting KO2 into the Reaction**: If we assume KO_x is KO2, we can rewrite the reaction as: \[ KO_2 + H_2O \rightarrow KOH + H_2O_2 + O_2 \] Here, potassium superoxide reacts with water to produce potassium hydroxide (KOH), hydrogen peroxide (H2O2), and oxygen gas (O2). 4. **Balancing the Reaction**: To ensure that the reaction is balanced, we can check the number of atoms on both sides: - Left side: 1 K, 2 O (from KO2), 2 H, 1 O (from H2O) = 1 K, 3 O, 2 H - Right side: 1 K (from KOH), 2 H (from H2O2), 2 O (from H2O2), 1 O (from O2) = 1 K, 3 O, 2 H The equation is balanced. 5. **Conclusion**: Since KO2 fits the description of a chrome yellow powder and balances the reaction, we conclude that the value of X is 2. ### Final Answer: The value of X is 2.
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