Answer / Explanation:
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Question:
Suppose 1.00 mole super heated ice melts to liquid water at 25°C . Assume the specific heats of ice and liquid water have the same value and are independent of temperature. The enthalpy change for the melting of ice at 0°C is 6007 J mol^-1. Calculate ΔH, ΔSsys, and ΔG,. for this process.
Answer:
If we recall the given parameters :
Enthalpy change of melting ice = 6007 Jole/Mole
Enthalpy change of 1 mole of ice at 25°c = Δ H = 6007 J
Now, if we go ahead to calculate the temperature change at 25°c, we have,
The temperature at 25°c = (275 + 273.15)
= 298.25
Now,
Enthalpy Change = ∆Ssys = Δ H / T
= 6007 / 298.15 = 20.15 J/k
Therefore, Enthalpy Change = ∆Ssys = 20.15 J/k
Now, recalling the gibbs free energy change:
we have: ∆G ° = Δ H° - T∆S°
= 6007 - (298.15) ( 20.15)
= 6007 - 6007
= 0 Joules
Therefore, ∆G ° = 0 Joules