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Ch.6 - Thermochemistry
Chapter 6, 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.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions. It involves using balanced chemical equations to determine the relationships between the amounts of substances consumed and produced. In this case, stoichiometry will help relate the heat emitted to the amount of titanium that reacts.
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Enthalpy Change (ΔH)

Enthalpy change (ΔH) is a measure of the heat absorbed or released during a chemical reaction at constant pressure. A negative ΔH indicates that the reaction is exothermic, meaning it releases heat. In this question, the ΔH of -839 kJ indicates that for every 2 moles of titanium that react, 839 kJ of heat is emitted.
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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is essential for converting between moles and grams in stoichiometric calculations. For titanium, the molar mass is approximately 47.87 g/mol, which will be used to find the mass of titanium that corresponds to the heat emitted in the reaction.
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Related Practice
Open Question
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.
Textbook Question

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

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Textbook Question

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?

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Textbook Question

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?

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Textbook Question

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

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Textbook Question

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?

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