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At 1000^(@)C, Zn((s)) +(1)/(2)O(2(g))...

At `1000^(@)C`,
`Zn_((s)) +(1)/(2)O_(2(g)) to ZnO_((s)), DeltaG^(@)=-360 KJ "mol"^(-1)`
`C_((s)) + (1)/(2)O_(2(g)) to CO_((g)),DeltaG^(@) =-460 KJ "mol"^(-1)`
The correct statement is

A

zinc can be oxidised by carbon monoxide

B

zince blend is produced during the reaction

C

zinc oxide can be reduced by graphite

D

zinc can be oxidised by graphite

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze the provided reactions and their Gibbs free energy changes (ΔG°). ### Step-by-Step Solution: 1. **Identify the Reactions and Their ΔG° Values:** - Reaction 1: \( \text{Zn}_{(s)} + \frac{1}{2} \text{O}_{2(g)} \rightarrow \text{ZnO}_{(s)} \) with \( \Delta G° = -360 \, \text{kJ/mol} \) - Reaction 2: \( \text{C}_{(s)} + \frac{1}{2} \text{O}_{2(g)} \rightarrow \text{CO}_{(g)} \) with \( \Delta G° = -460 \, \text{kJ/mol} \) 2. **Determine Spontaneity of the Reactions:** - A negative ΔG° indicates that a reaction is spontaneous. Both reactions have negative ΔG° values, meaning both are spontaneous at 1000°C. 3. **Compare the ΔG° Values:** - The ΔG° for the formation of CO (-460 kJ/mol) is more negative than that for the formation of ZnO (-360 kJ/mol). This indicates that the formation of CO is more thermodynamically favorable than the formation of ZnO. 4. **Consider the Reduction of ZnO:** - Since the formation of CO is more favorable, we can use carbon (C) to reduce zinc oxide (ZnO). The reduction reaction can be represented as: \[ \text{ZnO}_{(s)} + \text{C}_{(s)} \rightarrow \text{Zn}_{(s)} + \text{CO}_{(g)} \] - This reaction is feasible because the oxidation of carbon (from C to CO) is favored. 5. **Conclusion:** - Therefore, we conclude that zinc oxide can be reduced by carbon at 1000°C, making the correct statement: "Zinc oxide can be reduced by graphite." ### Final Answer: The correct statement is: "Zinc oxide can be reduced by graphite."
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