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Quantitative Thermochemistry
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Chemistry Joke Q: What weapon can you make from the elements potassium, nickel, and iron? A: KNiFe!
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Stoichiometry can be used with thermochemical equations.
Chemical Heat Changes Stoichiometry can be used with thermochemical equations. CH4 + 2O2 ® CO2 + 2H2O kJ 1 mole of CH4 releases kJ of energy. When you make kJ you also make 2 moles of water.
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Thermochemical Stoichiometry
CH4 + 2 O2 ® CO2 + 2 H2O kJ If 10.3 grams of CH4 are burned, how much heat will be produced? Use kJ in a stoichiometric ratio! 10. 3 g CH4 1 mol CH4 kJ 16.05 g CH4 1 mol CH4 = kJ
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Thermochemical Stoichiometry
CH4 + 2 O2 ® CO2 + 2 H2O kJ If you want to produce 500. kJ of heat, how many grams of CH4 need to be burned? 500. kJ 1 mol CH4 16.05 g CH4 kJ 1 mol CH4 = 10.0 g
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Physical Heat Changes Individual substances respond differently to heat changes. Some substances, like water, can absorb a lot of heat before their temperature rises. Other substances, like metals, only need a little bit of heat to cause a temperature change.
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Physical Heat Change The amount of heat it takes to raise the temperature of 1g of a substance 1oC is called the specific heat capacity of that substance. “Specific” heat capacity is independent of mass. Heat capacity is dependent on the mass of the object.
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Specific Heat Capacity
Symbol is “C” Units are J/g ·ºC or cal/g ·ºC When considering physical heat changes, “q” is used to indicate heat. C = q m x T Specific Heat heat mass x temp change = T = Tfinal - Tinitial
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Specific Heat Problem When 435 J of heat are added to 3.4 g of olive oil at 21oC, the temperature increases to 85oC. What is the specific heat of olive oil? C = q / (m x T) T = 85oC - 21oC = 64ºC 435 J / (3.4 g x 64ºC) = 2.0 J/(g ·ºC)
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Specific Heat Problem It takes J to heat 25 grams of copper from 25 °C to 75 °C. What is the specific heat of copper? 0.39 J/g·°C
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Heat Problems The equation for specific heat can be rearranged to solve for heat. q = m C T Note that heat, q, and specific heat, C, are two different things. q can be positive or negative depending on the T. (Remember, negative heat indicates an exothermic process, and positive heat indicates an endothermic process.)
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Heat Problem How much heat is required to raise the temperature of 250 g of mercury 52oC? The specific heat of Hg is 0.14 J/(g ·oC). q = m x C x T 250 g x 0.14 J /(g ·ºC) x 52ºC =1820 1800 J or 1.8 kJ
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Heat Problem How much energy must be absorbed by 20.0 g of water to increase its temperature from ºC to ºC? The specific heat of water is J/g ·oC. 1670 J
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Phase Changes To find the heat required to melt a substance, q = m ∆Hfus. To find the heat required to vaporize a substance, q = m ∆Hvap. The mass units have to match.
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Phase Changes Water: ∆Hfus = 333 J/g ∆HVap = 2250 J/g
How much heat is required to change 25 g of ice at 0 ºC to water at 0 ºC? q = m ∆Hfus 25 g x 333 J/g 8300 J
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Phase Changes Water: ∆Hfus = 333 J/g ∆HVap = 2250 J/g
How much heat in kJ is required to vaporize 2.0 moles of water? 81 kJ
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Using a Heating Curve How much energy would it take to change 25 g of water at 30 ºC to steam at 110 ºC? Slanted line: q = m C ∆T Flat lines: q = m ∆H
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Using a Heating Curve Step1: Draw a graph / label low and high temp from problem Step 2: Determine any phase changes Step 3: Draw slanted lines to and from phase changes and flat lines for phase changes Step 4: Write one equation for each line segment. Use the correct C, ∆T, or ∆H. Step 5: Add the energies together
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25 g of water at 30 ºC to steam at 110 ºC (Answer: 64,085 J)
Water: ∆Hfus = 333 J/g ∆HVap = 2250 J/g Cwater = J/g ºC Cice = 2.15 J/g ºC Csteam = 2.05 J/g ºC 25 g of water at 30 ºC to steam at 110 ºC (Answer: 64,085 J)
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Chemistry Joke Oh no! All the good chemistry jokes argon! I don’t “zinc” so!
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