CHEMISTRY 161 THERMO WORKSHEET FALL 2015 1. A system absorbs 52.5 J of energy as it expands to a volume of 50.0 L. If the external pressure is 0.800 atm and the change in internal energy is -112 j, calculate the initial volume. -112 j = 52.5 j – 0.0800 atm (50.0 – Vi)L 101.3 j ΔE = q -P ΔV L-atm -112 j = 52.5 j – 0.0800 atm (Vf – Vi) -112 j = 52.5 j – 81.04 j (50.0 – Vi) Vi = 48.0 L -112 j = 52.5 j – 0.0800 atm (50.0 – Vi)L 2. Use Hess’s law to find the heat of combustion of methane, using the following thermochemical equations. ¼ (CH4 (g) + 2 O2 (g) → CO2 (g) +2 H2O (g) ΔH = -802 kJ) ¼ (CH4 (g) + CO2 (g) → 2CO(g) + 2 H2 (g) ΔH = 247 kJ) ¼(CH4 (g) + H2O (g) → CO (g) + 3 H2 (g) 206 Kj) CH4 (g) + ½ O2 (g) → CO (g) + 2 H2 (g), ΔH = ¼(-802 +247 + 206) kj ΔH = -36 kj 3. How much glucose must be metabolized to completely evaporate 1.00 g of water? The heat of combustion of glucose is 2803 kj/mole. 2.257k j g 180.1 g 1.00 g mole = 0.145 g C6H12O6 2803 kj mole kg 103g 4. The standard enthalpy of formation of NH3 is -46.1 kJ/mole. What is ΔH°rxn for the following reactions? a. N2 (g) + 3 H2 (g) → 2NH3 (g) b. NH3 (g) → N2 (g) + 3 H2 (g) ΔH°rxn = 2(-46.1) = -92.2 kj/mole ΔH°rxn = 2(-46.1) = +92.2 kj/mole 5. The heat of combustion of pentane (C5H12) is -3535 kj/mole a. Find the heat given off when 1.00 kg of pentane is burned. 3535 kj 1.00 kg 1000 g mole kg 72.14 g mole = 4.90 X 104 kj b. How many grams of pentane must be burned to increase the temperature of of water from20.0°C to 90.0°C? 4.184 j 70.0 °C g-°C 103 g kg mole 1.00 kg kj 3 10 j 3535 kj 72.12 mole g = 5.98 g C5H12 Brass has a density of 8.40 g/cm3 and a specific heat of 0.385 j/g°C. A 15.2 cm3 piece of brass at an initial temperature of 163°C is dropped into an insulated container with 150.0 g H2O at 22.4°C. What will be the final temperature of the brass-water mixture? g-°C -q = q 4.184 j 150.0 g -0.385 j 8.40 g 15.2 cm3 (Tf – 163)°C = 3 g-°C cm g-°C (Tf – 163)°C Tf = 32.6 °C