For a given reaction, = 35.5 kJ mol⁻¹ and DS = 83.6 JK⁻¹ mol⁻¹. The reaction is spontaneous at : (Assume that and do not vary with tempearature)
(a) T > 425 K
(b) All temperatures
(c) T > 298 K
(d) T < 425 K
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Answer: (a) T > 425 K
Explanation:
According to Gibb's equation:
= Gibbs free energy
= enthalpy change = 35.5 kJ/mol = 35500 J/mol
= entropy change = 83.6 J/Kmol
T = temperature in Kelvin
= +ve, reaction is non spontaneous
= -ve, reaction is spontaneous
= 0, reaction is in equilibrium
when >
Thus
Thus reaction is spontaneous at temperatures greater than 425 Kelvin
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