Problem 58
Determine whether each process is exothermic or endothermic and indicate the sign of ΔH. a. dry ice evaporating b. a sparkler burning c. the reaction that occurs in a chemical cold pack used to ice athletic injuries
- Consider the thermochemical equation for the combustion of acetone (C3H6O), the main ingredient in nail polish remover: C3H6O(l) + 4 O2(g) → 3 CO2(g) + 3 H2O(g) ΔH°rxn = -1790 kJ. If a bottle of nail polish remover contains 177 mL of acetone, how much heat is released by its complete combustion? The density of acetone is 0.788 g/mL.
Problem 59
Problem 60
What mass of natural gas (CH4) must burn to emit 267 kJ of heat? CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(g) ΔH°rxn = –802.3 kJ
Problem 61
Nitromethane (CH3NO2) burns in air to produce significant amounts of heat. 2 CH3NO2(l) + 3/2 O2(g) → 2 CO2(g) + 3 H2O(l) + N2(g) ΔH°rxn = –1418 kJ How much heat is produced by the complete reaction of 5.56 kg of nitromethane?
Problem 62
Titanium reacts with iodine to form titanium(III) iodide, emitting heat. 2 Ti(s) + 3 I2(g) → 2 TiI3(s) ΔH°rxn = –839 kJ Determine the mass of titanium that react if 1.55×103 kJ of heat is emitted by the reaction.
Problem 63
The propane fuel (C3H8) used in gas barbeques burns according to the thermochemical equation: C3H8(g) + 5 O2(g) → 3 CO2(g) + 4 H2O(g) ΔH°rxn = –2044 kJ If a pork roast must absorb 1.6×103 kJ to fully cook, and if only 10% of the heat produced by the barbeque is actually absorbed by the roast, what mass of CO2 is emitted into the atmosphere during the grilling of the pork roast?
Problem 64
Charcoal is primarily carbon. Determine the mass of CO2 produced by burning enough carbon (in the form of charcoal) to produce 5.00×102 kJ of heat. C(s) + O2(g) → CO2(g) ΔH°rxn = –393.5 kJ
Problem 65
A silver block, initially at 58.5 °C, is submerged into 100.0 g of water at 24.8 °C, in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 26.2 °C. What is the mass of the silver block?
Problem 66
A 32.5-g iron rod, initially at 22.7 °C, is submerged into an unknown mass of water at 63.2 °C, in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 59.5 °C. What is the mass of the water?
Problem 67
A 31.1-g wafer of pure gold, initially at 69.3 °C, is submerged into 64.2 g of water at 27.8 °C in an insulated container. What is the final temperature of both substances at thermal equilibrium?
Problem 68
A 2.85-g lead weight, initially at 10.3 °C, is submerged in 7.55 g of water at 52.3 °C in an insulated container. What is the final temperature of both substances at thermal equilibrium?
Problem 69
Two substances, A and B, initially at different temperatures, come into contact and reach thermal equilibrium. The mass of substance A is 6.15 g and its initial temperature is 20.5 °C. The mass of substance B is 25.2 g and its initial temperature is 52.7 °C. The final temperature of both substances at thermal equilibrium is 46.7 °C. If the specific heat capacity of substance B is 1.17 J/g•°C, what is the specific heat capacity of substance A?
Problem 71
Exactly 1.5 g of a fuel burns under conditions of constant pressure and then again under conditions of constant volume. In measurement A the reaction produces 25.9 kJ of heat, and in measurement B the reaction produces 23.3 kJ of heat. Which measurement (A or B) corresponds to conditions of constant pressure? Explain.
- Should you carry out a chemical reaction under conditions of constant volume or constant pressure to obtain the largest possible amount of heat, if there is a large increase in the number of moles of gas? Explain.
Problem 72
Problem 73
When 0.514 g of biphenyl (C12H10) undergoes combustion in a bomb calorimeter, the temperature rises from 25.8 °C to 29.4 °C. Find ΔErxn for the combustion of biphenyl in kJ/mol biphenyl. The heat capacity of the bomb calorimeter, determined in a separate experiment, is 5.86 kJ/°C.
Problem 74
Mothballs are composed primarily of the hydrocarbon naphthalene (C10H8). When 1.025 g of naphthalene burns in a bomb calorimeter, the temperature rises from 24.25 °C to 32.33 °C. Find ΔErxn for the combustion of naphthalene. The heat capacity of the bomb calorimeter, determined in a separate experiment, is 5.11 kJ/°C.
Problem 75
Zinc metal reacts with hydrochloric acid according to the balanced equation: Zn(s) + 2 HCl(aq) → ZnCl2(aq) + H2(g) When 0.103 g of Zn(s) is combined with enough HCl to make 50.0 mL of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 22.5 °C to 23.7 °C. Find ΔHrxn for this reaction as written. (Use 1.0 g/mL for the density of the solution and 4.18 J/g•°C as the specific heat capacity.)
Problem 76
Instant cold packs used to ice athletic injuries on the field contain ammonium nitrate and water separated by a thin plastic divider. When the divider is broken, the ammonium nitrate dissolves according to the endothermic reaction: NH4NO3(s) → NH4+(aq) + NO3– (aq) In order to measure the enthalpy change for this reaction, 1.25 g of NH4NO3 is dissolved in enough water to make 25.0 mL of solution. The initial temperature is 25.8 °C and the final temperature (after the solid dissolves) is 21.9 °C. Calculate the change in enthalpy for the reaction in kJ. (Use 1.0 g/mL as the density of the solution and 4.18 J/g•°C as the specific heat capacity.)
Problem 77a
For each generic reaction, determine the value of ΔH2 in terms of ΔH1.
a. A + B → 2 C ΔH1
2 C→ A + B ΔH2 = ?
Problem 77b
For each generic reaction, determine the value of ΔH2 in terms of ΔH1.
b. A + 1/2 B → C ΔH1
2 A + B → 2 C ΔH2 = ?
Problem 77c
For each generic reaction, determine the value of ΔH2 in terms of ΔH1.
c. A → B + 2 C ΔH1
1/2 B + C → 1/2 A ΔH2 = ?
Problem 78
Consider the generic reaction:
A + 2 B → C + 3 D ΔH = 155 kJ
Determine the value of ΔH for each related reaction.
a. 3 A + 6 B → 3 C + 9 D
b. C + 3 D → A + 2 B
c. 1/2 C + 3/2 D → 1/2 A + B
Problem 79
Calculate ΔHrxn for the reaction:
Fe2O3(s) + 3 CO(g) → 2 Fe(s) + 3 CO2(g)
Use the following reactions and given ΔH's:
2 Fe(s) + 3/2 O2(g) → Fe2O3(s) ΔH = –824.2 kJ
CO(g) + 1/2 O2(g) → CO2(g) ΔH = –282.7 kJ
Problem 80
Calculate ΔHrxn for the reaction:
CaO(s) + CO2(g) → CaCO3(s)
Use the following reactions and given ΔH's:
Ca(s) + CO2(g) + 1/2 O2(g) → CaCO3(s) ΔH = –812.8 kJ
2 Ca(s) + O2(g) → 2 CaO(s) ΔH = –1269.8 kJ
Problem 81
Calculate ΔHrxn for the reaction:
5 C(s) + 6 H2(g) → C5H12(l)
Use the following reactions and given ΔH's:
C5H12(l) + 8 O2(g) → 5 CO2(g) + 6 H2O(g) ΔH = –3244.8 kJ
C(s) + O2(g) → CO2(g) ΔH = –393.5 kJ
2 H2(g) + O2(g) → 2 H2O(g) ΔH = –483.5 kJ
Problem 82
Calculate ΔHrxn for the reaction:
CH4(g) + 4 Cl2(g) → CCl4(g) + 4 HCl(g)
Use the following reactions and given ΔH's:
C(s) + 2 H2(g) → CH4(g) ΔH = –74.6 kJ
C(s) + 2 Cl2(g) → CCl4( g) ΔH = –95.7 kJ
H2(g) + Cl2(g) → 2 HCl( g) ΔH = –92.3 kJ
Problem 83a
Write an equation for the formation of each compound from its elements in their standard states, and find ΔH °f for each in Appendix IIB. a. NH3(g)
- Write an equation for the formation of C2H4(g) from its elements in their standard states, and find ΔH°rxn for it in Appendix IIB.
Problem 84
Problem 84a
Write an equation for the formation of each compound from its elements in their standard states, and find ΔH°rxn for each in Appendix IIB. a. NO2(g)
Problem 84b
Write an equation for the formation of each compound from its elements in their standard states, and find ΔH°rxn for each in Appendix IIB. b. MgCO3(s)
Ch.6 - Thermochemistry