JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
For a dimerization reaction, \(2 A ( g ) \rightarrow A _{2}( g )\) at \(298\, K , \Delta U^ \ominus,=-20\, kJ\, mol ^{-1}, \Delta S \odot=-30\, J\)\(K ^{-1}\, mol ^{-1},\) then the \(\Delta G ^{\ominus}\) will be........\(J\)
- A \(13536.6\)
- B \(-13537.6\)
- C \(-13535.5\)
- D \(13530.2\)
Answer & Solution
Correct Answer
(B) \(-13537.6\)
Step-by-step Solution
Detailed explanation
\(\Delta G^{\circ}=\Delta H^{\circ}-T \Delta S^{\circ}\) \(=\left(\Delta U^{\circ}+\Delta n_{g} R T\right)-T \Delta S^{\circ}\) \(\left.=\left[\{-20+(-1)) \frac{8.314}{1000} \times 298\right\}-\frac{298}{1000} \times(-30)\right] k J\) \(=-13.537572 kJ\) \(=-13537.57\) Joule
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