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 \(\frac{1}{2}\)N\(_2\)(g)  +   \(\frac{1}{2}\)O\(_2\)(g) → NO(g)  ∆H° =  89 KJ mol\(^{-1}\). If the entropy change for...

Chemistry
JAMB 1997

 \(\frac{1}{2}\)N\(_2\)(g)  +   \(\frac{1}{2}\)O\(_2\)(g) → NO(g)  ∆H° =  89 KJ mol\(^{-1}\). If the entropy change for the reaction above at 25°C is 11.8 J mol\(^{-1}\), calculate the change in free energy. ∆G°, for the reaction at 25°C?

  • A. 88.71 KJ
  • B. 85.48 KJ
  • C. -204.00 KJ
  • D. -3427.40 KJ
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Correct Answer: Option B
Explanation

\(\frac{1}{2}\)N\(_2\)(g)  +   \(\frac{1}{2}\)O\(_2\)(g) → NO(g)  ∆H° =  89 KJ mol\(^{-1}\)

First, ensure the right conversion is made.

T\(^0\)C = 25 + 273 = 298K

∆S = 11.8 = \(\frac{11.8}{1000}\) = 0.0118 kJmol\(^{-1}\) (Conversion from J/mol to kJ/mol)

 ∆H = 89 kJmol\(^{-1}\)

Applying the formula;  ∆G\(^0\) = ∆H - T∆S

                                           = 89 - (298 x 0.0118)

                                           = 89 - 3.5164

                                           = 85.4836

                                           = 85.48 kJmol\(^{-1}\)
                                         


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