AP Chemistry Quiz: Enthalpy Of Formation
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Enthalpy Of FormationQuestion 1 of 20

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:\n\nH2(g)+Cl2(g)2HCl(g)\text{H}_2(g) + \text{Cl}_2(g) \rightarrow 2\text{HCl}(g)\n\nFormation data (kJ/mol): ΔHf[H2(g)]=0\Delta H_f^\circ[\text{H}_2(g)] = 0, ΔHf[Cl2(g)]=0\Delta H_f^\circ[\text{Cl}_2(g)] = 0, ΔHf[HCl(g)]=92\Delta H_f^\circ[\text{HCl}(g)] = -92.

+184 kJ/mol
-92 kJ/mol
-184 kJ/mol
+92 kJ/mol
0 kJ/mol
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AP Chemistry Quiz

AP Chemistry Quiz: Enthalpy Of Formation

Practice Enthalpy Of Formation in AP Chemistry with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

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This quiz focuses on Enthalpy Of Formation, giving you a quick way to practice the rules, question types, and explanations that matter most for AP Chemistry.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:\n\nH2(g)+Cl2(g)2HCl(g)\text{H}_2(g) + \text{Cl}_2(g) \rightarrow 2\text{HCl}(g)\n\nFormation data (kJ/mol): ΔHf[H2(g)]=0\Delta H_f^\circ[\text{H}_2(g)] = 0, ΔHf[Cl2(g)]=0\Delta H_f^\circ[\text{Cl}_2(g)] = 0, ΔHf[HCl(g)]=92\Delta H_f^\circ[\text{HCl}(g)] = -92.

  1. +184 kJ/mol
  2. -92 kJ/mol
  3. -184 kJ/mol (correct answer)
  4. +92 kJ/mol
  5. 0 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. Using Hess's law, ΔHrxn\Delta H_{\text{rxn}}^\circ = Σ\Sigma (coefficients × ΔHf\Delta H_f^\circ products) - Σ\Sigma (coefficients × ΔHf\Delta H_f^\circ reactants). For this, products 2 HCl at -92 kJ/mol sum to -184 kJ/mol, reactants H2 and Cl2 both 0, so -184 - 0 = -184 kJ/mol, exothermic. This reflects the energy release in forming HCl bonds. A tempting distractor is -92 kJ/mol, due to the misconception of omitting the coefficient 2 for HCl. A key strategy is to list all terms with coefficients before summing to ensure no multiplication errors in enthalpy calculations.

Question 2

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given below to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

CH4(g)+2O2(g)CO2(g)+2H2O(l)\text{CH}_4(g) + 2\text{O}_2(g) \rightarrow \text{CO}_2(g) + 2\text{H}_2\text{O}(l)

Formation data (kJ/mol): ΔHf[CH4(g)]=75\Delta H_f^\circ[\text{CH}_4(g)] = -75, ΔHf[O2(g)]=0\Delta H_f^\circ[\text{O}_2(g)] = 0, ΔHf[CO2(g)]=394\Delta H_f^\circ[\text{CO}_2(g)] = -394, ΔHf[H2O(l)]=286\Delta H_f^\circ[\text{H}_2\text{O}(l)] = -286.

  1. -891 kJ/mol (correct answer)
  2. +891 kJ/mol
  3. -605 kJ/mol
  4. -103 kJ/mol
  5. -966 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. The standard enthalpy of reaction, ΔHrxn\Delta H_{\text{rxn}}^\circ, is found by subtracting the sum of the standard enthalpies of formation of the reactants, each multiplied by their stoichiometric coefficients, from that of the products. For this reaction, the products' enthalpies sum to 394 kJ/mol-394 \text{ kJ/mol} for CO2 plus 2 times 286 kJ/mol-286 \text{ kJ/mol} for H2O(l), equaling 966 kJ/mol-966 \text{ kJ/mol}, while the reactants sum to 75 kJ/mol-75 \text{ kJ/mol} for CH4 and 0 for O2. Subtracting gives 966(75)=891 kJ/mol-966 - (-75) = -891 \text{ kJ/mol}, indicating an exothermic reaction. A tempting distractor is 605 kJ/mol-605 \text{ kJ/mol}, which arises from the misconception of forgetting to multiply the enthalpy of formation of H2O by its coefficient of 2. Always remember to multiply each enthalpy of formation by the stoichiometric coefficient and ensure the states of matter match the given data when calculating ΔHrxn\Delta H_{\text{rxn}}^\circ.

Question 3

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given to calculate ΔHrxn\Delta H_{rxn}^\circ for the reaction below.

2H2O(l)2H2(g)+O2(g)2\text{H}_2\text{O}(l) \rightarrow 2\text{H}_2(g) + \text{O}_2(g)

Given: ΔHf[H2O(l)]=286 kJ/mol\Delta H_f^\circ[\text{H}_2\text{O}(l)] = -286\ \text{kJ/mol}, ΔHf[H2(g)]=0 kJ/mol\Delta H_f^\circ[\text{H}_2(g)] = 0\ \text{kJ/mol}, ΔHf[O2(g)]=0 kJ/mol\Delta H_f^\circ[\text{O}_2(g)] = 0\ \text{kJ/mol}.

  1. -286 kJ/mol
  2. +572 kJ/mol (correct answer)
  3. +286 kJ/mol
  4. -572 kJ/mol
  5. +858 kJ/mol

Explanation: This question tests your ability to calculate the standard enthalpy of reaction using standard enthalpies of formation. This is the reverse of water formation, so we apply ΔHrxn=Σ(ΔHf products)Σ(ΔHf reactants)\Delta H^\circ_{\text{rxn}} = \Sigma (\Delta H^\circ_f \text{ products}) - \Sigma (\Delta H^\circ_f \text{ reactants}). For products: 2H2(g)2\text{H}_2(g) and O2(g)\text{O}_2(g) are elements in standard states with ΔHf=0\Delta H^\circ_f = 0 kJ/mol each, giving a total of 0 kJ/mol. For reactants: 2H2O(l)2\text{H}_2\text{O}(l) has ΔHf=2(286)=572\Delta H^\circ_f = 2(-286) = -572 kJ/mol. Therefore, ΔHrxn=0(572)=+572\Delta H^\circ_{\text{rxn}} = 0 - (-572) = +572 kJ/mol. A common mistake (choice C) is using the ΔHf\Delta H^\circ_f for only 1 mole of water, giving +286 kJ/mol. The positive value confirms that decomposing water requires energy input, as expected for breaking stable bonds.

Question 4

Given the following ΔHf\Delta H_f^\circ values at 298 K: ΔHf[H2O(l)]=286 kJmol1\Delta H_f^\circ[\mathrm{H_2O(l)}]=-286\ \mathrm{kJ\,mol^{-1}}, ΔHf[H2O(g)]=242 kJmol1\Delta H_f^\circ[\mathrm{H_2O(g)}]=-242\ \mathrm{kJ\,mol^{-1}}. What is ΔHrxn\Delta H_{\mathrm{rxn}}^\circ for H2O(l)H2O(g)\mathrm{H_2O(l)\rightarrow H_2O(g)}?

  1. 0 kJ/mol
  2. +528 kJ/mol
  3. -528 kJ/mol
  4. -44 kJ/mol
  5. +44 kJ/mol (correct answer)

Explanation: This question tests the skill of calculating enthalpy of reaction using standard enthalpies of formation. For water vaporization: ΔH°rxn = [1(-242)] - [1(-286)] = -242 - (-286) = -242 + 286 = +44 kJ/mol. The positive value confirms that vaporization is endothermic, requiring energy input. A common mistake would be to calculate -44 kJ/mol (choice B) by subtracting in the wrong order, confusing the direction of the phase change. Remember that ΔH°rxn = products minus reactants, and vaporization always requires energy input, so ΔH must be positive.

Question 5

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

2NO(g)+O2(g)2NO2(g)2\text{NO}(g) + \text{O}_2(g) \rightarrow 2\text{NO}_2(g)

Formation data (kJ/mol): ΔHf[NO(g)]=+90\Delta H_f^\circ[\text{NO}(g)] = +90, ΔHf[NO2(g)]=+33\Delta H_f^\circ[\text{NO}_2(g)] = +33, ΔHf[O2(g)]=0\Delta H_f^\circ[\text{O}_2(g)] = 0.

  1. -57 kJ/mol
  2. +114 kJ/mol
  3. -114 kJ/mol (correct answer)
  4. +57 kJ/mol
  5. -147 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. ΔH_rxn° involves summing coefficient-adjusted ΔH_f° for products and subtracting that for reactants. Products 2 NO2 at +33 kJ/mol total +66 kJ/mol; reactants 2 NO at +90 kJ/mol (+180 kJ/mol) plus O2 (0), so +66 - +180 = -114 kJ/mol, exothermic. This fits NO to NO2 conversion. A tempting distractor is +114 kJ/mol, from the misconception of subtracting products from reactants. Consistently apply the products-minus-reactants rule and verify with known reaction energetics to ensure accuracy.

Question 6

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g)

Formation data (kJ/mol): ΔHf[CaCO3(s)]=1207\Delta H_f^\circ[\text{CaCO}_3(s)] = -1207, ΔHf[CaO(s)]=635\Delta H_f^\circ[\text{CaO}(s)] = -635, ΔHf[CO2(g)]=394\Delta H_f^\circ[\text{CO}_2(g)] = -394.

  1. +178 kJ/mol (correct answer)
  2. -178 kJ/mol
  3. +1207 kJ/mol
  4. +572 kJ/mol
  5. -572 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. ΔH_rxn° equals the sum of ΔH_f° for products minus that for reactants, with coefficients applied. For this decomposition, products CaO (-635 kJ/mol) and CO2 (-394 kJ/mol) sum to -1029 kJ/mol, and reactant CaCO3 is -1207 kJ/mol, so -1029 - (-1207) = +178 kJ/mol, indicating endothermic. This matches the known endothermic nature of limestone decomposition. A tempting distractor is -178 kJ/mol, stemming from the misconception of reversing the subtraction order. To compute ΔH_rxn° reliably, consistently subtract reactants' enthalpy sum from products' and verify the sign aligns with reaction type.

Question 7

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

C2H4(g)+H2(g)C2H6(g)\text{C}_2\text{H}_4(g) + \text{H}_2(g) \rightarrow \text{C}_2\text{H}_6(g)

Formation data (kJ/mol): ΔHf[C2H4(g)]=+52\Delta H_f^\circ[\text{C}_2\text{H}_4(g)] = +52, ΔHf[H2(g)]=0\Delta H_f^\circ[\text{H}_2(g)] = 0, ΔHf[C2H6(g)]=85\Delta H_f^\circ[\text{C}_2\text{H}_6(g)] = -85.

  1. -33 kJ/mol
  2. +33 kJ/mol
  3. +137 kJ/mol
  4. -137 kJ/mol (correct answer)
  5. -85 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. ΔH_rxn° is computed as products' enthalpy sum minus reactants', with stoichiometric multipliers. Product C2H6 is -85 kJ/mol; reactants C2H4 (+52 kJ/mol) and H2 (0), so -85 - 52 = -137 kJ/mol, exothermic hydrogenation. This aligns with alkene to alkane conversion releasing energy. A tempting distractor is +137 kJ/mol, from the misconception of subtracting products from reactants. Remember to always use the formula products minus reactants and check the sign against reaction thermodynamics for verification.

Question 8

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

H2O(g)H2(g)+12O2(g)\text{H}_2\text{O}(g) \rightarrow \text{H}_2(g) + \tfrac{1}{2}\text{O}_2(g)

Formation data (kJ/mol): ΔHf[H2O(g)]=242\Delta H_f^\circ[\text{H}_2\text{O}(g)] = -242, ΔHf[H2(g)]=0\Delta H_f^\circ[\text{H}_2(g)] = 0, ΔHf[O2(g)]=0\Delta H_f^\circ[\text{O}_2(g)] = 0.

  1. +121 kJ/mol
  2. +242 kJ/mol (correct answer)
  3. -242 kJ/mol
  4. -121 kJ/mol
  5. 0 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. For reverse reactions like this decomposition, ΔH_rxn° = Σ ΔH_f° products - Σ ΔH_f° reactants, including fractional coefficients. Products H2 (0) and 0.5 O2 (0) sum to 0; reactant H2O(g) is -242 kJ/mol, so 0 - (-242) = +242 kJ/mol, endothermic. This is the enthalpy of vaporization inverted but for gas phase. A tempting distractor is -242 kJ/mol, arising from the misconception of not reversing the sign for decomposition. To avoid errors, recognize that decomposition ΔH is the negative of formation ΔH for the compound, and apply coefficients precisely.

Question 9

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

N2(g)+3H2(g)2NH3(g)\text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g)

Formation data (kJ/mol): ΔHf[N2(g)]=0\Delta H_f^\circ[\text{N}_2(g)] = 0, ΔHf[H2(g)]=0\Delta H_f^\circ[\text{H}_2(g)] = 0, ΔHf[NH3(g)]=46\Delta H_f^\circ[\text{NH}_3(g)] = -46.

  1. +46 kJ/mol
  2. -138 kJ/mol
  3. -46 kJ/mol
  4. +92 kJ/mol
  5. -92 kJ/mol (correct answer)

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. The standard enthalpy of reaction, ΔH_rxn°, is calculated as the sum of the products' formation enthalpies minus the sum of the reactants', each scaled by coefficients. Here, the products are 2 NH3 with ΔH_f° of -46 kJ/mol each, summing to -92 kJ/mol, while reactants N2 and H2 both have 0 kJ/mol. Thus, ΔH_rxn° = -92 - 0 = -92 kJ/mol, showing the synthesis of ammonia is exothermic. A tempting distractor is -46 kJ/mol, resulting from the misconception of not multiplying the enthalpy of NH3 by 2. Always double-check that you've applied the stoichiometric coefficients correctly to avoid undercounting multi-mole products in enthalpy calculations.

Question 10

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

Na2O(s)+H2O(l)2NaOH(s)\text{Na}_2\text{O}(s) + \text{H}_2\text{O}(l) \rightarrow 2\text{NaOH}(s)

Formation data (kJ/mol): ΔHf[Na2O(s)]=414\Delta H_f^\circ[\text{Na}_2\text{O}(s)] = -414, ΔHf[H2O(l)]=286\Delta H_f^\circ[\text{H}_2\text{O}(l)] = -286, ΔHf[NaOH(s)]=426\Delta H_f^\circ[\text{NaOH}(s)] = -426.

  1. -152 kJ/mol (correct answer)
  2. +152 kJ/mol
  3. -438 kJ/mol
  4. +438 kJ/mol
  5. -126 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy change of a reaction using standard enthalpies of formation. ΔH_rxn° is the sum of products' ΔH_f° times coefficients minus that of reactants. Products 2 NaOH at -426 kJ/mol total -852 kJ/mol; reactants Na2O (-414 kJ/mol) and H2O (-286 kJ/mol) sum to -700 kJ/mol, so -852 - (-700) = -152 kJ/mol, exothermic. This reflects the hydration energy release. A tempting distractor is +152 kJ/mol, from the misconception of inverting the subtraction. To compute correctly, write out each term explicitly and use a calculator for summation to prevent sign or arithmetic errors.

Question 11

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given to calculate ΔHrxn\Delta H_{rxn}^\circ for the reaction below.

CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g)

Given: ΔHf[CaCO3(s)]=1207 kJ/mol\Delta H_f^\circ[\text{CaCO}_3(s)] = -1207\ \text{kJ/mol}, ΔHf[CaO(s)]=635 kJ/mol\Delta H_f^\circ[\text{CaO}(s)] = -635\ \text{kJ/mol}, ΔHf[CO2(g)]=394 kJ/mol\Delta H_f^\circ[\text{CO}_2(g)] = -394\ \text{kJ/mol}.

  1. +178 kJ/mol (correct answer)
  2. -178 kJ/mol
  3. +1207 kJ/mol
  4. +241 kJ/mol
  5. -241 kJ/mol

Explanation: This question tests your ability to calculate the standard enthalpy of reaction using standard enthalpies of formation. Using ΔHrxn=Σ(ΔHf products)Σ(ΔHf reactants)\Delta H^\circ_{\text{rxn}} = \Sigma(\Delta H^\circ_f \text{ products}) - \Sigma(\Delta H^\circ_f \text{ reactants}), we calculate the enthalpy change for decomposition. For products: CaO(s) has ΔHf=635\Delta H^\circ_f = -635 kJ/mol and CO2_2(g) has ΔHf=394\Delta H^\circ_f = -394 kJ/mol, giving a total of -1029 kJ/mol. For reactants: CaCO3_3(s) has ΔHf=1207\Delta H^\circ_f = -1207 kJ/mol. Therefore, ΔHrxn=1029(1207)=+178\Delta H^\circ_{\text{rxn}} = -1029 - (-1207) = +178 kJ/mol. A common mistake (choice B) is getting the sign wrong by subtracting in the wrong order, giving -178 kJ/mol. The positive value makes sense because decomposition reactions typically require energy input.

Question 12

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given below to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

C2H4(g)+H2(g)C2H6(g)\text{C}_2\text{H}_4(g) + \text{H}_2(g) \rightarrow \text{C}_2\text{H}_6(g)

ΔHf[C2H4(g)]=+52 kJ/mol\Delta H_f^\circ[\text{C}_2\text{H}_4(g)] = +52\ \text{kJ/mol}

ΔHf[H2(g)]=0 kJ/mol\Delta H_f^\circ[\text{H}_2(g)] = 0\ \text{kJ/mol}

ΔHf[C2H6(g)]=84 kJ/mol\Delta H_f^\circ[\text{C}_2\text{H}_6(g)] = -84\ \text{kJ/mol}

  1. +136 kJ/mol
  2. -84 kJ/mol
  3. -32 kJ/mol
  4. -136 kJ/mol (correct answer)
  5. +32 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy of reaction using standard enthalpies of formation. To find ΔH_rxn°, we use the formula ΔH_rxn° = Σ n ΔH_f°(products) - Σ m ΔH_f°(reactants), where n and m are stoichiometric coefficients. For products, C2H6 contributes -84 kJ/mol. For reactants, C2H4 contributes +52 kJ/mol and H2 contributes 0 kJ/mol, summing to +52 kJ/mol, so ΔH_rxn° = -84 - 52 = -136 kJ/mol. A tempting distractor is +136 kJ/mol (choice A), which arises from the misconception of reversing the sign or subtracting in the wrong order. A transferable strategy is to always multiply each ΔH_f° by its coefficient, sum products and reactants separately, and ensure the subtraction is products minus reactants while accounting for signs.

Question 13

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given below to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

2SO2(g)+O2(g)2SO3(g)2\text{SO}_2(g) + \text{O}_2(g) \rightarrow 2\text{SO}_3(g)

ΔHf[SO2(g)]=297 kJ/mol\Delta H_f^\circ[\text{SO}_2(g)] = -297\ \text{kJ/mol}

ΔHf[O2(g)]=0 kJ/mol\Delta H_f^\circ[\text{O}_2(g)] = 0\ \text{kJ/mol}

ΔHf[SO3(g)]=396 kJ/mol\Delta H_f^\circ[\text{SO}_3(g)] = -396\ \text{kJ/mol}

  1. +198 kJ/mol
  2. -99 kJ/mol
  3. -198 kJ/mol (correct answer)
  4. +99 kJ/mol
  5. -693 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy of reaction using standard enthalpies of formation. To find ΔH_rxn°, we use the formula ΔH_rxn° = Σ n ΔH_f°(products) - Σ m ΔH_f°(reactants), where n and m are stoichiometric coefficients. For products, 2 SO3 contributes 2 × -396 = -792 kJ/mol. For reactants, 2 SO2 contributes 2 × -297 = -594 kJ/mol and O2 contributes 0 kJ/mol, summing to -594 kJ/mol, so ΔH_rxn° = -792 - (-594) = -198 kJ/mol. A tempting distractor is -99 kJ/mol (choice B), which arises from the misconception of not multiplying by coefficients, using single values instead. A transferable strategy is to always multiply each ΔH_f° by its coefficient, sum products and reactants separately, and ensure the subtraction is products minus reactants while accounting for signs.

Question 14

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given below to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

CaCO3(s)CaO(s)+CO2(g)\text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g)

ΔHf[CaCO3(s)]=1207 kJ/mol\Delta H_f^\circ[\text{CaCO}_3(s)] = -1207\ \text{kJ/mol}

ΔHf[CaO(s)]=635 kJ/mol\Delta H_f^\circ[\text{CaO}(s)] = -635\ \text{kJ/mol}

ΔHf[CO2(g)]=394 kJ/mol\Delta H_f^\circ[\text{CO}_2(g)] = -394\ \text{kJ/mol}

  1. +178 kJ/mol (correct answer)
  2. -1207 kJ/mol
  3. +241 kJ/mol
  4. +1207 kJ/mol
  5. -178 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy of reaction using standard enthalpies of formation. To find ΔH_rxn°, we use the formula ΔH_rxn° = Σ n ΔH_f°(products) - Σ m ΔH_f°(reactants), where n and m are stoichiometric coefficients. For products, CaO contributes -635 kJ/mol and CO2 contributes -394 kJ/mol, summing to -1029 kJ/mol. For reactants, CaCO3 contributes -1207 kJ/mol, so ΔH_rxn° = -1029 - (-1207) = +178 kJ/mol. A tempting distractor is -1207 kJ/mol (choice D), which results from the misconception of using only the reactant's ΔH_f° without subtracting properly. A transferable strategy is to always multiply each ΔH_f° by its coefficient, sum products and reactants separately, and ensure the subtraction is products minus reactants while accounting for signs.

Question 15

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given below to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

N2(g)+3H2(g)2NH3(g)\text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g)

ΔHf[N2(g)]=0 kJ/mol\Delta H_f^\circ[\text{N}_2(g)] = 0\ \text{kJ/mol}

ΔHf[H2(g)]=0 kJ/mol\Delta H_f^\circ[\text{H}_2(g)] = 0\ \text{kJ/mol}

ΔHf[NH3(g)]=46 kJ/mol\Delta H_f^\circ[\text{NH}_3(g)] = -46\ \text{kJ/mol}

  1. -46 kJ/mol
  2. +92 kJ/mol
  3. -138 kJ/mol
  4. -92 kJ/mol (correct answer)
  5. +46 kJ/mol

Explanation: This question tests the skill of calculating the standard enthalpy of reaction using standard enthalpies of formation. To find ΔH_rxn°, we use the formula ΔH_rxn° = Σ n ΔH_f°(products) - Σ m ΔH_f°(reactants), where n and m are stoichiometric coefficients. For products, 2 NH3 contributes 2 × -46 = -92 kJ/mol. For reactants, N2 contributes 0 kJ/mol and 3 H2 contributes 0 kJ/mol, summing to 0 kJ/mol, so ΔH_rxn° = -92 - 0 = -92 kJ/mol. A tempting distractor is -46 kJ/mol (choice A), which arises from the misconception of not multiplying the ΔH_f° of NH3 by its coefficient of 2. A transferable strategy is to always multiply each ΔH_f° by its coefficient, sum products and reactants separately, and ensure the subtraction is products minus reactants while accounting for signs.

Question 16

At 298 K, the following standard enthalpies of formation are given: ΔHf[SO2(g)]=297 kJmol1\Delta H_f^\circ[\mathrm{SO_2(g)}]=-297\ \mathrm{kJ\,mol^{-1}}, ΔHf[SO3(g)]=396 kJmol1\Delta H_f^\circ[\mathrm{SO_3(g)}]=-396\ \mathrm{kJ\,mol^{-1}}, and ΔHf[O2(g)]=0 kJmol1\Delta H_f^\circ[\mathrm{O_2(g)}]=0\ \mathrm{kJ\,mol^{-1}}. What is ΔHrxn\Delta H_{\mathrm{rxn}}^\circ for 2SO2(g)+O2(g)2SO3(g)\mathrm{2SO_2(g)+O_2(g)\rightarrow 2SO_3(g)}?

  1. -198 kJ/mol (correct answer)
  2. -99 kJ/mol
  3. +198 kJ/mol
  4. -693 kJ/mol
  5. +99 kJ/mol

Explanation: This question tests the skill of calculating enthalpy of reaction using standard enthalpies of formation. Using ΔH°rxn = Σ(ΔH°f products) - Σ(ΔH°f reactants), we calculate: ΔH°rxn = [2(-396)] - [2(-297) + 1(0)] = -792 - (-594) = -792 + 594 = -198 kJ/mol. The answer is -198 kJ/mol (choice A). A tempting distractor is -99 kJ/mol (choice B), which results from forgetting to multiply by the stoichiometric coefficient of 2, representing a failure to account for the formation of 2 moles of SO₃. Always check that you've multiplied each ΔH°f value by the corresponding coefficient from the balanced equation.

Question 17

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given to calculate ΔHrxn\Delta H_{rxn}^\circ for the reaction below.

N2(g)+3H2(g)2NH3(g)\text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g)

Given: ΔHf[N2(g)]=0 kJ/mol\Delta H_f^\circ[\text{N}_2(g)] = 0\ \text{kJ/mol}, ΔHf[H2(g)]=0 kJ/mol\Delta H_f^\circ[\text{H}_2(g)] = 0\ \text{kJ/mol}, ΔHf[NH3(g)]=46 kJ/mol\Delta H_f^\circ[\text{NH}_3(g)] = -46\ \text{kJ/mol}.

  1. -92 kJ/mol (correct answer)
  2. -138 kJ/mol
  3. +46 kJ/mol
  4. +92 kJ/mol
  5. -46 kJ/mol

Explanation: This question tests your ability to calculate the standard enthalpy of reaction using standard enthalpies of formation. Using ΔHrxn=Σ(ΔHf products)Σ(ΔHf reactants)\Delta H_{rxn}^\circ = \Sigma(\Delta H_f^\circ \text{ products}) - \Sigma(\Delta H_f^\circ \text{ reactants}), we need to multiply each ΔHf\Delta H_f^\circ by its stoichiometric coefficient. For products: 2NH3_3(g) has ΔHf=2(46)=92\Delta H_f^\circ = 2(-46) = -92 kJ/mol. For reactants: N2_2(g) and 3H2_2(g) both have ΔHf=0\Delta H_f^\circ = 0 kJ/mol (elements in their standard states), giving a total of 0 kJ/mol. Therefore, ΔHrxn=920=92\Delta H_{rxn}^\circ = -92 - 0 = -92 kJ/mol. A common mistake (choice A) is using the ΔHf\Delta H_f^\circ of NH3_3 without accounting for the coefficient 2, giving only -46 kJ/mol. Always multiply enthalpies of formation by their stoichiometric coefficients before summing.

Question 18

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given to calculate ΔHrxn\Delta H_{rxn}^\circ for the reaction below.

C2H4(g)+H2(g)C2H6(g)\text{C}_2\text{H}_4(g) + \text{H}_2(g) \rightarrow \text{C}_2\text{H}_6(g)

Given: ΔHf[C2H4(g)]=+52 kJ/mol\Delta H_f^\circ[\text{C}_2\text{H}_4(g)] = +52\ \text{kJ/mol}, ΔHf[H2(g)]=0 kJ/mol\Delta H_f^\circ[\text{H}_2(g)] = 0\ \text{kJ/mol}, ΔHf[C2H6(g)]=84 kJ/mol\Delta H_f^\circ[\text{C}_2\text{H}_6(g)] = -84\ \text{kJ/mol}.

  1. -32 kJ/mol
  2. +136 kJ/mol
  3. -136 kJ/mol (correct answer)
  4. +32 kJ/mol
  5. -84 kJ/mol

Explanation: This question tests your ability to calculate the standard enthalpy of reaction using standard enthalpies of formation. Applying ΔHrxn=Σ(ΔHf products)Σ(ΔHf reactants)\Delta H^\circ_{\text{rxn}} = \Sigma(\Delta H^\circ_f \text{ products}) - \Sigma(\Delta H^\circ_f \text{ reactants}) correctly is essential. For products: C₂H₆(g) has ΔH°f = -84 kJ/mol. For reactants: C₂H₄(g) has ΔH°f = +52 kJ/mol and H₂(g) has ΔH°f = 0 kJ/mol, giving a total of +52 kJ/mol. Therefore, ΔHrxn=84(+52)=136\Delta H^\circ_{\text{rxn}} = -84 - (+52) = -136 kJ/mol. A common error (choice D) is using only the difference in carbon-hydrogen compounds without proper signs, calculating 84 - 52 = 32 kJ/mol. Always use the complete formula with correct signs for all species.

Question 19

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given to calculate ΔHrxn\Delta H_{rxn}^\circ for the reaction below.

H2(g)+Cl2(g)2HCl(g)\text{H}_2(g) + \text{Cl}_2(g) \rightarrow 2\text{HCl}(g)

Given: ΔHf[H2(g)]=0 kJ/mol\Delta H_f^\circ[\text{H}_2(g)] = 0\ \text{kJ/mol}, ΔHf[Cl2(g)]=0 kJ/mol\Delta H_f^\circ[\text{Cl}_2(g)] = 0\ \text{kJ/mol}, ΔHf[HCl(g)]=92 kJ/mol\Delta H_f^\circ[\text{HCl}(g)] = -92\ \text{kJ/mol}.

  1. -276 kJ/mol
  2. +184 kJ/mol
  3. -92 kJ/mol
  4. -184 kJ/mol (correct answer)
  5. +92 kJ/mol

Explanation: This question tests your ability to calculate the standard enthalpy of reaction using standard enthalpies of formation. Applying ΔHrxn=Σ(ΔHf products)Σ(ΔHf reactants)\Delta H^\circ_{\text{rxn}} = \Sigma(\Delta H^\circ_f \text{ products}) - \Sigma(\Delta H^\circ_f \text{ reactants}) with attention to coefficients is key. For products: 2HCl(g) has ΔHf=2(92)=184\Delta H^\circ_f = 2(-92) = -184 kJ/mol. For reactants: both H2(g)\text{H}_2(g) and Cl2(g)\text{Cl}_2(g) are elements in their standard states, so their ΔHf=0\Delta H^\circ_f = 0 kJ/mol, giving a total of 0 kJ/mol. Therefore, ΔHrxn=1840=184\Delta H^\circ_{\text{rxn}} = -184 - 0 = -184 kJ/mol. A common error (choice C) is using the ΔHf\Delta H^\circ_f for only 1 mole of HCl instead of 2 moles, giving -92 kJ/mol. Remember to multiply by stoichiometric coefficients before calculating the reaction enthalpy.

Question 20

Use the standard enthalpies of formation, ΔHf\Delta H_f^\circ, given below to calculate ΔHrxn\Delta H_{\text{rxn}}^\circ for the reaction at 298 K:

CH4(g)+2O2(g)CO2(g)+2H2O(l)\mathrm{CH_4(g) + 2\,O_2(g) \rightarrow CO_2(g) + 2\,H_2O(l)}

Data (kJ/mol): ΔHf[CH4(g)]=75\Delta H_f^\circ[\mathrm{CH_4(g)}]=-75, ΔHf[O2(g)]=0\Delta H_f^\circ[\mathrm{O_2(g)}]=0, ΔHf[CO2(g)]=394\Delta H_f^\circ[\mathrm{CO_2(g)}]=-394, ΔHf[H2O(l)]=286\Delta H_f^\circ[\mathrm{H_2O(l)}]=-286.

  1. -891 kJ/mol (correct answer)
  2. -647 kJ/mol
  3. +891 kJ/mol
  4. -966 kJ/mol
  5. -572 kJ/mol

Explanation: This question tests the skill of calculating standard enthalpy of reaction using standard enthalpies of formation. The standard enthalpy of reaction is calculated using the formula: ΔH°rxn = Σ(ΔH°f products) - Σ(ΔH°f reactants). For the combustion of methane, we have: ΔH°rxn = [(-394) + 2(-286)] - [(-75) + 2(0)] = [-394 - 572] - [-75] = -966 + 75 = -891 kJ/mol. A common misconception is forgetting to multiply the enthalpy of formation by the stoichiometric coefficient, which would lead to answer B (-647 kJ/mol) if the coefficient 2 for H2O was ignored. To solve these problems systematically, always write out the formula explicitly, identify all species with their coefficients, and carefully track the signs when subtracting.