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Question: For reaction \(Ag_{2}O(s) \rightarrow 2Ag(s) + \frac{1}{2}O_{2}(g)\) the value of \(\Delta H = 30.56...

For reaction Ag2O(s)2Ag(s)+12O2(g)Ag_{2}O(s) \rightarrow 2Ag(s) + \frac{1}{2}O_{2}(g) the value of ΔH=30.56kJmol1\Delta H = 30.56kJmol^{- 1} and ΔS=0.066kJmol1K1.\Delta S = 0.066kJmol^{- 1}K^{- 1}.

Temperature at which free energy change for reaction will be zero is

A

373 K

B

413 K

C

463 K

D

493 K

Answer

463 K

Explanation

Solution

ΔG=ΔHTΔS\Delta G = \Delta H - T\Delta S

ΔH=30.56kJmol1\Delta H = 30.56kJmol^{- 1}; ΔS=0.066kJmol1K1\Delta S = 0.066kJmol^{- 1}K^{- 1}; ΔG=0\Delta G = 0 at equilibrium; T=?T = ?

ΔH=TΔS\therefore\Delta H = T\Delta S or 30.56=T×0.06630.56 = T \times 0.066

T=463KT = 463K