Calorimetry Practice Worksheet (Section 17.2) 1.) Compound A is burned in a bomb calorimeter that contains 2.50 liters of water. If the combustion of 0.175 moles of this compound causes the temperature of the water to rise 45.00C, what is the molar heat of combustion of compound A (in kJ/mole)? The heat capacity of water is 4.18 J/g 0C. ∆H = -q nH = mc ∆t (0.175 moles) H = (2500 g)(4.18 J/g0C)(45.00C) H = (2500 g)(4.18 J/g0C)(45.00C) 0.175 moles H = - 2687142.857 J/mole = -2.69 x 103 kJ/mole 2.) Compound B is burned in a bomb calorimeter that contains 1.50 liters of water. When I burned 50.0 grams of compound B in the calorimeter, the temperature rise of the water in the calorimeter was 35.00C. If the heat of combustion of compound B is 2150 kJ/mole, what is the molar mass of compound B? The heat capacity of water is 4.18 J/g 0C. ∆H = q nH = mc ∆t n (2150 kJ/mole) = (1500 g)(4.18 J/g0C)(35.00C) n = (1500 g)(4.18 J/g0C)(35.00C) 2.150 x 106 J/mole n = 0.102 moles M = m = 50.0 g = 490 g/mole n 0.102 moles 3.) The molar heat of combustion of compound C is 1250 kJ/mol. If I were to burn 0.115 moles of this compound in a bomb calorimeter with a reservoir that holds 2.50 liters of water, what would the expected temperature increase be? ∆H = q nH = mc ∆t (0.115 moles)(1250 kJ/mole) = (2500 g)(4.18 J/g0C)(∆t) ∆t = (0.115 moles)(1.250 x 106 J/mole) = 13.8 0C (2500 g)(4.18 J/g0C) 4.) A calorimeter was calibrated with an electric heater, which supplied 22.5 kJ of energy to the calorimeter and increased the temperature of the calorimeter and its water from 22.450C to 23.970C. What is the heat capacity of the calorimeter? ∆H = q ∆H = C ∆t 22.5 kJ = C (22.450C - 23.970C) C = 22.5 kJ = 14.8 kJ/0C 1.520C 5.) When 0.113 g of benzene, C6H6, burns in excess oxygen in a calibrated constantpressure calorimeter with a heat capacity of 551 J/0C, the temperature of the calorimeter rises by 8.600C. Write the thermochemical equation and calculate the reaction enthalpy for the combustion of benzene (which yields carbon dioxide vapour and liquid water). ∆H = q nH = C ∆t (0.113 g) H = 551 J/0C (8.600C) 78.11 g/mole H = (551 J/0C) (8.600C) = - 3.27 x 103 kJ/mole (0.00145 moles) C6H6(l) + C6H6(l) + 15/2 O2(g) 15/2 O2(g) 6CO2(g) 6CO2(g) + + 3H2O(l) 3H2O(l); + 3270 kJ ∆H = -3270 kJ Multiple Choice: 1.) ____ The value of ΔHo for the reaction below is +128.l kJ: CH3OH (l) CO (g) + 2H2 (g) How many kJ of heat are consumed when 5.10 g of H2 (g) is formed as shown in the equation? Solution: 5.10 g 1 mole H2 =2.52 moles H2 2.02 g From the equation: 128.1 kJ/2 moles of H2 = 64.05 kJ/mole H2 So, ∆H = nH ∆H = (2.52 moles H2)(64.05 kJ/mole) (a) 653 (b) 62.0 (c) 324 (d) 162 2.) ____ The value of ΔHo for the reaction below is +128.1 kJ: CH3OH (l) CO (g) + 2H2 (g) How many kJ of heat are consumed when 5.10 g of CO (g) is formed as shown in the equation? Solution: 5.10 g 1 mole CO =0.182 moles CO 28.01 g From the equation: 128.1 kJ/1 moles of CO = 128.1 kJ/mole CO So, ∆H = nH ∆H = (0.182 moles CO)(128.1 kJ/mole) (a) 0.182 kJ (b) 162 kJ (c) 8.31 kJ (d) 23.3 kJ 3.) ____ The value of ΔHo for the reaction below is -1107 kJ: 2Ba (s) + O2 (g) Solution: 5.75 g 2 BaO (s) 1 mole BaO= 0.0375 moles BaO 153.33 g From the equation: -1107 kJ/2 moles of BaO = - 553.5 kJ/mole BaO So, ∆H = nH ∆H = (0.0375 moles BaO)(553.5 kJ/mole) How many kJ of heat are released when 5.75 g of BaO (s) is produced? (a) 56.9 kJ (b) 23.2 kJ (c) 20.8 kJ (d) 193 kJ 4.) ____ A sample of aluminum metal absorbs 9.86 J of heat, upon which the temperature of the sample increased from 23.2oC to 30.5oC. Since the specific heat capacity of aluminum is 0.90 J/g-K, the mass of the sample is __________g. Note: 23.2oC = 296.2 K and 30.5oC = 303.5 K q = mc ∆t 9.86 J = (m)(0.90 J/g K)( 7.3 K) m = 9.86 J (0.90 J/g K)( 7.3 K) (a) 72 (b) 65 (c) 1.50 (d) 8.1