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Chapter 11 (Practice Test)

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1 Chapter 11 (Practice Test)
Thermochemistry

2 = ∆H m • C • ∆T ∆H = m = C = ∆T = ∆H = 450 g 0.71 J/g•°C 150 °C (450g)
1. The specific heat capacity of graphite is 0.71 J/g•°C. Calculate the energy required to raise the temperature of 450 g of graphite by 150 °C. ∆H = m = C = ∆T = 450 g 0.71 J/g•°C ∆H = m • C • ∆T 150 °C ∆H = (450g) ( J ) g•°C (150 °C) Calculator 450 x 0.71 x 150 = 47,925 J Answer w/ Sig. Figs. ∆H = 48,000 J or kJ

3 = ∆H m • C • ∆T C = ∆H = m = C = ∆T = C = 0.14 J/g•°C 770 J ∆H m x ∆T
2. It takes 770 joules of energy to raise the temperature of 50 g of mercury by 110 °C. What is the specific heat capacity of mercury? 2. It takes 770 joules of energy to raise the temperature of 50 g of mercury by 110 °C. What is the specific heat capacity of mercury? ∆H = m = C = ∆T = ∆H = m • C • ∆T 770 J ∆H m x ∆T 50 g m x ∆T m x ∆T _____ J/g°C 110 °C C = Calculator 770 ÷ 50 ÷ 110 = 0.14 or 770 ÷ (50 x 110) = 0.14 C = ∆H m x ∆T 770 J = 50 g x 110 °C C = 0.14 J/g•°C

4 = ∆H m • C • ∆T ∆H = m = C = ∆T = ∆H = 175.0 g 0.385 J/g•°C
3. Calculate the heat absorbed by the water in a calorimeter when grams of copper cools from °C to 22.0 °C The specific heat capacity of copper is J/g•°C. 3. Calculate the heat absorbed by the water in a calorimeter when grams of copper cools from °C to 22.0 °C The specific heat capacity of copper is J/g•°C. ∆H = m = C = ∆T = 175.0 g 0.385 J/g•°C ∆H = m • C • ∆T 22.0°C – 125.0°C ∆T = – 103.0°C ∆H = (175g) ( J ) g•°C (-103 °C) Calculator 175 x x -103 = J But water Absorbed the heat so… ∆H = J

5 = ∆H m • C • ∆T ∆T = ∆H = m = C = ∆T = Ti = Tf = _____ °C
4. Assume 372 Joules of heat are added to 5.00 g of water originally at 23.0 °C. What would be the final temperature of the water? (Note: Find ∆T first then find the final temperature) The specific heat capacity of water = J/g•°C? 4. Assume 372 Joules of heat are added to 5.00 g of water originally at 23.0 °C. What would be the final temperature of the water? (Note: Find ∆T first then find the final temperature) The specific heat capacity of water = J/g•°C? ∆H = m = C = ∆T = ∆H = m • C • ∆T 372 J ∆H m x C 5.00 g m x C m x C 4.184 J/g°C _____ °C ∆T = Ti = Tf = _____ °C 23.0 °C ∆T = ∆H m x C 372 = = 17.8 °C (5 x 4.184) Calculator 372 ÷ 5 ÷ = 17.78 Heat was added so temp. increases by 17.8. Tf = = 40.8 °C

6 = ∆H m • C • ∆T ∆H = m = C = ∆T = ∆H = 2.0 x 102 g = 200 g
5. How much heat is required to raise the temperature of 2.0 x 102 g of aluminum by 30 °C. (specific heat of Al = J/g•°C) ∆H = m = C = ∆T = 2.0 x 102 g = 200 g 0.878 J/g•°C ∆H = m • C • ∆T 30°C ∆H = (200g) ( J ) g•°C (30 °C) Calculator (2.0 x 102) x x 30 = 5268 J Answer to correct sig.figs. ∆H = 5 kJ

7 - = ∆H m • C • ∆T = ∆T Tf - Ti Water ∆H = m = C = ∆T = Lead ∆H = m =
6. Find the specific heat capacity of Lead if an 85.0 g sample of lead with an initial temperature of 99.0 °C is placed into 99.5 g of water with an initial temperature of 22.0 °C . The final temperature of the water and the lead is 25.0 °C. Water so…C is known Water ∆H = m = C = ∆T = ∆H = m • C • ∆T _________ J 99.5 g ∆H = (99.5g) ( J ) g•°C (3.0 °C) 4.184 J/g•°C ∆H = 1, J 1, 25-22=3.0°C Energy water gained from the hot metal so… ∆T = Tf - Ti Lead ∆H = m = C = ∆T = - _________ J C = ∆H m x ∆T J = 85.0 g (85.0) (-74.0 °C) ______ J/g•°C C = = 0.20 J/g•°C 25-99=-74.0°C

8 ∆H° = ∆Hf°(products) - ∆Hf°(reactants)
7. Find the standard heat of formation for the following reaction. ∆H° = ∆Hf°(products) - ∆Hf°(reactants) Substance ∆Hf° (kJ/mol) NH3(g) -46.19 O2(g) 0.0 NO(g) 90.37 H2O(g) -285.8 4 NH3(g) + 5 O2 (g)  4 NO(g) H2O (l) -46.19 x kJ 0.0 x 5 0 kJ 90.37 x kJ -285.8 x kJ + + kJ -1, kJ (reactants) (products) ∆H° = ∆Hf°(products) - ∆Hf°(reactants) ∆H° = -1, kJ – ( kJ) = kJ ∆H° = kJ

9 H 8. Heat of Reaction: 2 2 H2(g) + O2 (g)  2 H2O (l) ∆H = -572 kJ
How much heat is produced when 5.00 g of H2 (at STP) is reacted with excess O2? 5.00 g H2 1 mol H2 x x = -708 kJ mol H2 2.02 g H2 1.01 x 2 2.02 1 H Hydrogen 1.01 Calculator: 5.00 ÷ 2.02 x -572 ÷ 2 =

10 Na O H 9. Heat of Solution: ∆Hsoln = -445.1 kJ/mol -445.1 kJ/mol 1 x x
Determine the heat of solution when g of NaOH is dissolved in water. 40.00 g NaOH 1 mol NaOH x x = kJ 40.00 1 mol NaOH g NaOH 11 Na sodium 22.99 8 O Oxygen 16.00 1 H Hydrogen 1.01 Calculator: ÷ x =

11 N O H 10. Heat of Solution: ∆Hsoln = 25.7 kJ/mol 25.7 kJ 1 x x =
Determine the heat of solution when g of NH4NO3 is dissolved in water. 25.58 g NH4NO3 1 mol NH4NO3 x x = 8.211 kJ 1 80.06 mol NH4NO3 g NH4NO3 7 N Nitrogen 14.01 8 O Oxygen 16.00 1 H Hydrogen 1.01 Calculator: ÷ x 25.7 =

12 11. Heat of Combustion: 2 C2H O2  4 CO H2O ∆H = kJ 2 -2600 kJ How much heat is produced when g of C2H2 is reacted with excess O2? 35.00 g C2H2 1 mol C2H2 x x = -1747 kJ mol C2H2 26.04 g C2H2 6 C Carbon 12.01 1 H Hydrogen 1.01 Calculator: ÷ x ÷ 2 =

13 + 12. (Hess’s Law) It is called Hess’s Law of Heat SUMMATION -845.6
Calculate the enthalpy change (∆H) in kJ for the following reaction. 2 Al(s) + Fe2O3 (s)  2 Fe(s) + Al2O3 (s) ∆H = ______ kJ Use the enthalpy changes for the combustion of aluminum and iron. 1) 2 Al(s) O2 (g)  Al2O3 (s) ∆H1 = -1,669.8 kJ 2) 2 Fe(s) O2 (g) 2 Fe(s) O2 (g)  Fe2O3 (s) Fe2O3 (s) ∆H2 = kJ ∆H2 = kJ Iron is supposed to be a product so reverse 2nd reaction and change sign for ∆H. It is called Hess’s Law of Heat SUMMATION Aluminum is supposed to be a reactant so leave 1st reaction alone. 1) 2 Al(s) O2 (g)  Al2O3 (s) ∆H1 = -1,669.8 kJ + 2) -845.6 2 Al(s) + Fe2O3 (s)  2 Fe(s) + Al2O3 (s) ∆H = kJ

14 = ∆T Tf - Ti = ∆H m • C • ∆T ∆T = m = C(ice)= ∆H = ∆H =
13. How much heat is absorbed by g of ice at °C to steam at 120 °C? ∆H(fus) = 6.01 kJ/mol ∆H(vap) = 40.7 kJ/mol Cice= 2.1 J/g°C Cliquid= J/g°C Csteam= 1.7 J/g°C Solid phase: Temp. from °C to 0 °C. ∆T = 0°C – (-20.0°C) = 20.0°C ∆T = Tf - Ti m = C(ice)= ∆H = 150.0 g 2.1 J/g•°C ∆H = m • C • ∆T ______ J ∆H = (150.0g) (2.1 J ) g•°C (20 °C) ∆H = 6.3 kJ ∆H = 150 x 2.1 x 20 = 6,300 J

15 H O ∆T = Can’t use ∆H = m • C • ∆T Use ∆H(fus.) = 6.01 kJ/mol
13. How much heat is absorbed by g of ice at °C to steam at 120 °C? ∆H(fus) = 6.01 kJ/mol ∆H(vap) = 40.7 kJ/mol Cice= 2.1 J/g°C Cliquid= J/g°C Csteam= 1.7 J/g°C Melting: Temperature stays at 0 °C. ∆T = 0°C – 0°C = 0°C Can’t use ∆H = m • C • ∆T It takes 6.01 kJ to melt 1 mole of water. 1 H Hydrogen 1.01 8 O Oxygen 16.00 Use ∆H(fus.) = 6.01 kJ/mol 6.01 kJ 1 mol H2O Set up unit conversions to solve: 1.01 x 2 2.02 H2O 16.00 x 1 +16.00 = g 1 mol H2O 150.0 g H2O x x = 50.0 kJ 18.02 g H2O Calculator: 150 ÷ x 6.01 = kJ

16 = ∆T Tf - Ti = ∆H m • C(liquid) • ∆T ∆T = m = C(liquid)= ∆H = ∆H =
13. How much heat is absorbed by g of ice at °C to steam at 120 °C? ∆H(fus) = 6.01 kJ/mol ∆H(vap) = 40.7 kJ/mol Cice= 2.1 J/g°C Cliquid= J/g°C Csteam= 1.7 J/g°C Liquid phase: Temp. from 0 °C to 100 °C. ∆T = 100°C – 0°C = 100°C ∆T = Tf - Ti m = C(liquid)= ∆H = 150.0 g 4.184 J/g•°C ∆H = m • C(liquid) • ∆T ______ J ∆H = (150.0g) ( J ) g•°C (100 °C) ∆H = 150 x x 100 = 62,760 J ∆H = 62.8 kJ

17 H O ∆T = Can’t use ∆H = m • C • ∆T Use ∆H(fus.) = 40.7 kJ/mol
13. How much heat is absorbed by g of ice at °C to steam at 120 °C? ∆H(fus) = 6.01 kJ/mol ∆H(vap) = 40.7 kJ/mol Cice= 2.1 J/g°C Cliquid= J/g°C Csteam= 1.7 J/g°C Boiling: Temperature stays at 100 °C. ∆T = 100°C – 100°C = 0°C Can’t use ∆H = m • C • ∆T It takes 40.7 kJ to boil 1 mole of water. 1 H Hydrogen 1.01 8 O Oxygen 16.00 Use ∆H(fus.) = 40.7 kJ/mol 40.7 kJ 1 mol H2O Set up unit conversions to solve: 1.01 x 2 2.02 H2O 16.00 x 1 +16.00 = g 1 mol H2O 150.0 g H2O x x = kJ 18.02 g H2O Calculator: 150 ÷ x 40.7 = kJ

18 = ∆T Tf - Ti = ∆H m • C(steam) • ∆T ∆T = m = C(ice)= ∆H = ∆H =
13. How much heat is absorbed by g of ice at °C to steam at 120 °C? ∆H(fus) = 6.01 kJ/mol ∆H(vap) = 40.7 kJ/mol Cice= 2.1 J/g°C Cliquid= J/g°C Csteam= 1.7 J/g°C Gas phase: Temp. from 100 °C to °C. ∆T = 120.0°C – 100 °C = 20.0°C ∆T = Tf - Ti m = C(ice)= ∆H = 150.0 g 1.7 J/g•°C ∆H = m • C(steam) • ∆T ______ J ∆H = (150.0g) (1.7 J ) g•°C (20 °C) ∆H = 5.1 kJ ∆H = 150 x 1.7 x 20 = 5,100 J

19 + 50.0 kJ 62.8 kJ 338.8 kJ 463.0 kJ 6.3 kJ Solid phase Melting
13. How much heat is absorbed by g of ice at °C to steam at 120 °C? ∆H(fus) = 6.01 kJ/mol ∆H(vap) = 40.7 kJ/mol Cice= 2.1 J/g°C Cliquid= J/g°C Csteam= 1.7 J/g°C 6.3 kJ Solid phase 50.0 kJ Melting 62.8 kJ Liquid phase 338.8 kJ Boiling + 5.1 kJ Gas phase Total energy = 463.0 kJ


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