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leonid [27]
4 years ago
8

Use the following to calculate H°lattice of MgF2. Mg(s) Mg(g) H° = 148 kJ F2(g) 2 F(g) H° = 159 kJ Mg(g) Mg+(g) + e- H° = 738 kJ

Mg+(g) Mg+2(g) + e- H° = 1450 kJ F(g) + e- F -(g) H° = -328 kJ Mg(s) + F2(g) MgF2(s) H° = -1123 kJ kJ/mol

Chemistry
1 answer:
aev [14]4 years ago
8 0

Answer:

The correct answer is -2952 KJ/mol

Explanation:

Attached is the diagram for Born- Haber cycle. According to the cycle:

ΔHf= ΔH1 + ΔH2 +  ΔH3 + ΔH4 + ΔH5 + LE

In order to calculate the lattice energy (LE):

LE= ΔHf - ΔH1 - ΔH2 -  ΔH3 - ΔH4 - ΔH5

LE= -1123 KJ/mol - 148 KJ/mol -  159 KJ/mol - 728 KJ/mol - 1450 KJ/mol - (2 x (-328 KJ/mol)

LE= -2952 KJ/mol

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The heat required to raise the temperature to 0⁰C is calculated as;

Q  = mc\Delta t\\\\Q_1 = 50 \times 4.184 \times (0 - (-10))\\\\Q_1 = 2092 \ J

The  heat required to melt the ice is calculated as follows;

Q_2 = mL_f\\\\Q_2 = 50 \times 333.55 \\\\Q_2 = 16,677.5 \ J

The heat raise the temperature to 100⁰C is calculated as;

Q_3 = 50 \times 4.184 \times (100 - 0)\\\\Q_3 = 20,920 \ J

The  heat required to boil the water is calculated as follows;

Q_4 = mL_v\\\\Q_4 = 50 \times 2230\\\\4_4 = 111,500 \ J

The heat raise the temperature to 120⁰C is calculated as;

Q_5 = 50 \times 4.184 \times (120 - 100)\\\\Q_5 = 4,184 \ J

The total heat required is calculated as follows;

Q_t = Q_1 + Q_2 + Q_3 + Q_4 + Q _5 \\\\Q_t  = 2092 + 16,677.5 + 20,920 + 111,500 + 4,184\\\\Q_t = 155,373.5 \ J\\\\Q_t \approx 155,000 \ J

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