Determine the Gibb\'s free, energy as a function of temperature of the of the fo

Question

Determine the Gibb's free, energy as a function of temperature of the of the following hydrogen molecule dissociation reaction where deltahdegree_298298 217,990 J and deltasdegree_298 ' 49.35 J/K. Assume that the heal capacities of anti-arc 1.5 R and 31 J/mol-K, respectively. Calculate the partial pressure of monoatoiuic hydrogen at 2000 K and 1 aim pressure. Panic the phases that appear as an iron-0.5 weight percent carbon alloy is slowly cooled from the melting temperature. Calculate or describe the the weight fractions of each phase at each of the following temperatures: 1470degree C, 1100degree C, ami 750degree C. At what temperature will the austenite in this alloy have the high test carbon content? When the lit V is held at 700degree C, what is the weight fraction of the ferrite phase that formed in the alloy Seaford the eutectoid reaction had taken place?

Explanation / Answer

dG = dH - TdS

dH= dHo + integral (To - T) CpdT = dHo + dCp (T-To)

dS = dSo + ln(T/To).dCp

THerefore dG = [217990+31(T-298) - T(49.35+ln(T/298).31) ] - [217990+1.5(T-298) - T(49.35+ln(T/298)1.5)]

by keeping temperature we can calculate dG value.

b) keep T = 2000k in above formula

dGo = -62.026KJ

G=Go+RTln(pHg )

dG = 0

dGo = -RTln (pHg ) ; R = 8.314

pHg = 41.68

3)

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