| The factor of \[\Delta G\] values is important in metallurgy. The \[\Delta G\] values for the following reactions at \[{{800}^{o}}C\] are given as: |
| \[{{S}_{2}}(s)+2{{O}_{2}}(g)\to 2S{{O}_{2}}(g)\,;\] \[\Delta G=-544\,kJ\] |
| \[2Zn(s)+{{S}_{2}}O\to \,2ZnS(s)\,;\] \[\Delta G=-293kJ\] |
| \[2Zn(s)+{{O}_{2}}(g)\to 2ZnO(s);\] \[\Delta G=-480\,kJ\] |
| Then \[\Delta G\] for the reaction |
| \[2ZnS(s)+3{{O}_{2}}(g)\xrightarrow{{}}2ZnO(s)+2S{{O}_{2}}(g)\] |
| will be: [AIPMT 2000] |
A) \[\text{ }357\text{ }kJ\]
B) \[-731\text{ }kJ\]
C) \[-773\text{ }kJ~\]
D) \[-229\text{ }kJ\]
Correct Answer: B
Solution :
| \[\Delta G\] of formation of different substances are as |
| \[2\text{ }S{{O}_{2}}=-544\text{ }kJ\] |
| \[2\,ZnS=-293\text{ }kJ\] |
| \[2\,\,ZnO=-480\text{ }kJ\] |
| For the reaction |
| \[2ZnS+3{{O}_{2}}(g)\xrightarrow[{}]{{}}2ZnO(s)+2S{{O}_{2}}(g)\] |
| \[\Delta G=[\Delta {{G}_{(products)}}-\Delta {{G}_{(reac\tan ts)}}]\] |
| \[=[(-480)+(-544)-(-293)]\] |
| \[=-1024+293\] |
| \[=-731\text{ }kJ\] |
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