Hess cycle

Notes on Hess’s Cycle

Question 1

S_{(rhombic)}+O_2\rightarrow SO_2\: \: \: \: \: \: \Delta H: -297 kJ\: mol^-^1

S_{(monoclinic)}+O_2\rightarrow SO_2\: \: \: \: \: \: \Delta H: -293.3 kJ\: mol^-^1

Find the enthalpy change for the allotropic change of sulfur, as express in the following reaction.

S_{(rhombic)}\rightarrow S_{(monoclinic)}\: \: \: \: \: \: \Delta H: ?\: mol^-^1

Answer: 3.7kJ (Working)

Question 2

H_{2(g)}+I_{2(g)}\rightarrow 2HI_{(g)}\: \: \: \: \Delta H=51.9kJ

H_{2(g)}+I_{2(s)}\rightarrow 2HI_{(g)}\: \: \: \: \Delta H=-9.2kJ

Find the heat of sublimation for iodine, as described in the below equation.

I_{2(s)}\rightarrow I_{2(g)}\: \: \: \: \Delta H=?kJ

Answer:-60.4kJ (Working)

Question 3

C_{(s)}+O_2_{(g)}\rightarrow CO_2_{(g)}\: \: \: \: \Delta H: -393.5kJ

2CO_{(g)}+O_2_{(g)}\rightarrow 2CO_{2(g)}\: \: \: \: \Delta H: -565.9kJ

Find the enthalpy of reaction for the following reaction:

2C_{(s)}+O_2_{(g)}\rightarrow 2CO_{(g)}\: \: \: \: \Delta H: \: ?kJ

Answer:-221.1kJ (Working)

Question 4

The ΔHf of AgCl is -127 kJ mol-1.

If Ag^+_{(aq)}+Cl^-_{(aq)}\rightarrow AgCl_{(s)} \: \: \: \Delta H:-127kJ \: mol^-^1, find the enthalpy change for the below equation:

Ag_{(s)}+\frac{1}{2}Cl_{2(aq)}+H_2O\rightarrow Ag^+_{(aq)}+Cl^-_{(aq)} \: \: \: \Delta H:\: ?kJ \: mol^-^1

Answer:7kJ (Working)

Question 5

2-methylpropan-1-ol can also be converted to produce jet and diesel fuel. The first step is the preparation of 2-methylpropene as seen in the following equation:

C_4H_1_0O_{(l)}\rightarrow C_4H_8_{(g)}+H_2O_{(g)}

If ΔHf of C4H10O is -335 kJ mol-1, ΔHf of C4H8 is -17 kJ mol-1 and ΔHf of H2O is -242 kJ mol-1 find the ΔH of the reaction of the conversion of 2-methylpropan-1-ol  into 2-methylpropene.

Answer:74kJ (Working)

Question 6

The ΔH of silane gives SiO2 and H2O and releases -1507 kJ mol-1.

The ΔH of silicon releases -911 kJ mol-1.

The ΔH of hydrogen releases -286 kJ mol-1.

Using the above information, find the ΔHf of SiH4.

Answer:24kJ (Working)

Question 7

Some reactions, such as the formation of KClO3 cannot be measured directly. Using the following equations, find the ΔHf of KClO3:

KClO_3_{(s)}+3Mg_{(s)}\rightarrow KCl_{(s)}+3MgO_{(s)}\: \: \: \Delta H:-1852 kJ\: mol^-^1

K_{(s)}+\frac{1}{2}Cl_{2(s)}\rightarrow KCl_{(s)}\: \: \: \Delta H:-437 kJ\: mol^-^1

Mg_{(s)}+\frac{1}{2}O_{2(g)}\rightarrow MgO_{(s)}\: \: \: \Delta H:-602 kJ\: mol^-^1

Answer:-391kJ (Working)

Question 8

B2H6 is used as a rocket fuel. Calculate the ΔHc of B2H6 if ΔHf of B2H6 is -36 kJ mol-1, ΔHf of H2O is -286 kJ mol-1 and ΔHf of B2O3 is -1274 kJ mol-1

Answer:-2096kJ (Working)

Question 9

The first step in the preparation of methanol is the reaction of methane with water as seen below:

CH_4_{(g)}+H_2O_{(g)}\rightarrow CO_{(g)}+3H_{2(g)}

Use the dara below to calculate the entahlpy change of the reaction of methane with water:

CO_{(g)}+\frac{1}{2}O_{2(g)}\rightarrow CO_{2(g)}\: \: \: \Delta H:-283kJ\: mol^-^1

H_{2(g)}+\frac{1}{2}O_{2(g)}\rightarrow H_2O_{(g)}\: \: \: \Delta H:-242kJ\: mol^-^1

CH_4{(g)}+2O_{2(g)}\rightarrow CO_{2(g)}+2H_2O_{(g)}\: \: \: \Delta H:-803kJ\: mol^-^1

Hint: The enthalpy of combustion of water is 0 kJ mol-1

Answer:206kJ (Working)

Question 10 – Challenging!!

The bombardier beetle can fire a hot, toxic mixture of chemicals when they feel threatened. The mixture containes C6H4O2, a compound hat can be formed using the following equation:

C_6H_4(OH)_{2(aq)}+H_2O_{2(aq)}\rightarrow C_6H_4O_{2(aq)}+2H_2O_{(l)}

Use the following data to calculate the enthalpy change for the above reaction:

C_6H_4(OH)_{2(aq)}\rightarrow C_6H_4O_{2(aq)}+H_2{(g)}\: \: \: \Delta H:\: 177.4kJ\: mol^-^1

H_{2(g)}+O_{2(g)}\rightarrow H_2O_{2(aq)}\: \: \: \Delta H:-191.2kJ\: mol^-^1

H_{2(g)}+\frac{1}{2}O_{2(g)}\rightarrow H_2O_{(l)}\: \: \: \Delta H:-286kJ\: mol^-^1

Answer:-203.4kJ (Working)