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Question

Chemistry Question on Thermodynamics

On the basis of the following thermochemical data :(ΔfGoH(aq)+=0): \left(\Delta f G^{o}H^{+}_{\left(aq\right)}=0\right) H2O()H+(aq)+OH(aq);ΔH=57.32kjH_{2}O\left(\ell\right) \rightarrow H^{+}\left(aq\right)+OH^{-}\left(aq\right); \Delta H=57.32kj H2(g)+12O2(g)H2O();ΔH=286.20kjH_{2}\left(g\right)+\frac{1}{2}O_{2}\left(g\right) \rightarrow H_{2}O\left(\ell\right); \Delta H=-286.20kj The value of enthalpy of formation of OHOH^- ion at 25oC25^o\,C is :

A

22.88kJ-22.88\, kJ

B

228.88kJ-228.88\, kJ

C

+228.88kJ+228.88\, kJ

D

343.52kJ-343.52\, kJ

Answer

228.88kJ-228.88\, kJ

Explanation

Solution

By adding the two given equations, we have H2(g)+12O2(g)H(aq)++OH(aq);ΔH=228.88KjH_{2\left(g\right)}+\frac{1}{2}O_{2\left(g\right)} \rightarrow H^{+}_{\left(aq\right)}+OH^{-}_{\left(aq\right)}; \Delta H=-228.88\,Kj Here ΔHfoofH(aq)+=0\Delta H^{o}_{f} of H^{+}_{\left(aq\right)}=0 ΔHfoofOH=228.88kj\therefore \Delta H^{o}_{f} of OH^{-}=-228.88\,kj