White Board Practice Problems BC DE 1. 2. 3. 4. Increase in PE Temperature constant KE is constant Phase changes occur S L endothermic SL exothermic Q=MHf Solid Q=mc T L G endothermic LG exothermic Q=MHv Liquid Q=mc T AB CD EF 1. 2. 3. 4. Increase KE Endothermic PE is constant No Phase changes Gas Q=mc T How much energy is needed to melt the ice block? Heat of Fusion Q=mHf Heat of Vaporization Q=mHv 1. Solid Liquid (endothermic) 1. Liquid Gas (endothermic) 2. Solid Liquid (exothermic) 2. Liquid gas (exothermic) temperature 1. The heat quantity for each step is calculated separately from the rest. 2. The same formula is used for each step regardless if energy is absorbed or released. q = mcDt GAS q = mHv LIQUID q = mHf q = m cDt MELT q = m cDt SOLID added energy VAPORIZE Problem 1 How much heat is needed to melt 35.0 grams of water at 0°C? temperature Start by planning which formula is used by the information given in the problem. q = mHf 0 °C 0 °C added energy Problem How much heat is need to melt 35.0 grams of water at 0°C? temperature 1Substitute and calculate. Q = mHf q = grams x Hf q= (35.0 g)(334.0 J/g) q melt= 11690 J absorbed 0 °C 0 °C added energy Problem temperature 2 How much heat must be removed to freeze 35 grams of water at its freezing point? Substitute and calculate. Q = mHf q = grams x Hf q= (35 g)(334 J/g) q melt= 11690 J released 0 °C 0 °C added energy Problem 3 How much heat must be added to vaporize 200 grams of water at its boiling point? temperature q = mHv q = grams x Hv q = (200 g)(2260 J/g) q = 452,000 J absorbed added energy Problem 4 How much heat must be released to condense 25 grams of water at 373K? temperature q = mHv q = grams x Hv q = (25 g)(2260 J/g) q = 56,500 J released added energy Problem How much heat is released when 125 g of temperature 5 water freezes at 0oC? q = mHf q = grams x Hf q = (125 g)(334 J/g) q = 41750 J released added energy Problem 6 How much energy is absorbed when 25 kg of water vaporize at its Boiling Point? temperature q = mHv q = grams x Hv q = (25000 g)(2260 J/g) q = 56,500,000 J released added energy Do not worry about your difficulties in Mathematics. I can assure you mine are still greater. Who said this? Amount of heat needed to increase the temperature of one gram of a substance by 1 degree Celsius or 1 Kelvin. 2. Because substances have different compositions, each substance has its own specific heat. Specific Heat of Water 4.18 J/g 0C or 4.18 J/gK 1. Q = mcΔT 1) q is the heat gained or lost (J) 2) m is the mass of the heated substance (grams) 3) c is the specific heat capacity (J/g 0C) 4) ΔT (pronounced delta T) is the change in temperature. 5) ΔT = (Tfinal - Tinitial) in 0C or K Table T Unit for q = 2. Unit for mass = 3. Unit for specific heat = 4. Unit for change in temperature = 1. Water = 4.18 joules /g 0C Concrete = 0.84 joules /g 0C How many joules are absorbed by 300.0g of concrete when its temperature is raised from 20.0 0C to 40.0 0C? How many joules are absorbed by 300.0g of water when its temperature is raised from 20.0 0C to 40.0 0C? How many joules of heat are released by 35 kg of concrete when its temperature drops from 25 0C to 5 0C? Problem Calculate the specific heat capacity of copper given that 204.75 J of energy raises the temperature of 15g of copper from 25o to 60o. temperature 60 °C q = mcDt 25 °C added energy © Mr. D. Scott; CHS 1) The temperature of a sample of water changes from 10°C to 20°C when the sample absorbs 418 joules of heat. What is the mass of the sample? (1) 1 g (3) 100 g (2) 10 g (4) 1000 g 2) A 36-gram sample of water has an initial temperature of 22°C. After the sample absorbs 1200 joules of heat energy, the final temperature of the sample is (1) 8.0°C (3) 30.°C (2) 14°C (4) 55°C Q = mcΔT Q = 181 J m=45.0g c= ___ J/gK ΔT= 30.0 K Why is the specific heat value of water so important in terms of hurricanes affecting the United States? Windows to the Universe Desecheo Island Sand = 0.835 J/g°C Water = 4.18 J/goC The greater the specific heat capacity of a substance, the more time and energy it takes to heat it up.
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