1) A piece of potassium metal is added to water in a beaker. The reaction that t
ID: 634699 • Letter: 1
Question
1) A piece of potassium metal is added to water in a beaker. The reaction that takes place is 2K(s) + 2H2O(l) ?2 KOH(aq) + H2(g) Predict the signs of w, q, ?U, and ?H.2) At 373.15K and 1 atm, the molar volume of liquid water and steam are 1.88?10^-5 m^3 and 3.06?10^-2m^3 , respectively. Given that the heat of vaporization of water is 40.79 kJ/mol, calculate the values of ?Hand ?U for 1 mole in the following process: H2O(l, 373.15K, 1 atm) ?H2O(g, 373.15K, 1 atm) 1) A piece of potassium metal is added to water in a beaker. The reaction that takes place is 2K(s) + 2H2O(l) ?2 KOH(aq) + H2(g) Predict the signs of w, q, ?U, and ?H.
2) At 373.15K and 1 atm, the molar volume of liquid water and steam are 1.88?10^-5 m^3 and 3.06?10^-2m^3 , respectively. Given that the heat of vaporization of water is 40.79 kJ/mol, calculate the values of ?Hand ?U for 1 mole in the following process: H2O(l, 373.15K, 1 atm) ?H2O(g, 373.15K, 1 atm)
Explanation / Answer
1) A piece of potassium metal is added to water in a beaker. The reaction that takes place is
2K(s) + 2H2O(l) ?2 KOH(aq) + H2(g)
Predict the signs of w, q, ?U, and ?H.
w = -P*dV, since dV is positive, i.e. H2 gas expands the system, w = negative
q = this is exothermic, since K metal + water releases heat, so Q = positive
U = internal energy of system must decrease, since it is losing plenty of energy (negative)
H = Enthalpy of system must decrease, since it is losing plenty of energy(negative)
2) At 373.15K and 1 atm, the molar volume of liquid water and steam are 1.88?10^-5 m^3 and 3.06?10^-2m^3, respectively.
Given that the heat of vaporization of water is 40.79 kJ/mol, calculate the values of ?Hand ?U for 1 mole in the following process:
H2O(l, 373.15K, 1 atm) ?H2O(g, 373.15K, 1 atm)
a) Enthalpy change:
dH = 40.79 kJ/mol
b)
dU = dH - PdV
P = 101325 Pa
Vf = (3.06*10^-2)-(1.88*10^-5) = 0.0305812 m3
P*dV = 101325*0.0305812 = 3098.64 J = 3.098 kJ
dU = 40.79 - 3.098
dU = 37.692 J/mol
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