ANSWERS Phase Diagram Questions.docx

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Jan 9, 2024

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Phase Diagram Questions – Worksheet 1.) Calculate the amount of heat required to increase the temperature of 54g of mercury at -39°C to 21°C. q = m l f + mc Δ T q = (54 g)(12 J/g°C) + (54g)(.138 J/g°C)(21°+39) q = 648 + 447.12 q = 1095.12 q = 1100 J 2.) Calculate the amount of heat released when 65.0 g of liquid ethanol is cooled from 75.0°C to form a solid. q = mc Δ T - ml f q = (65 g)(2.40 J/g°C)(-114-75.0) - (65 g)(104 J/g) q = -29484 - 6760 q = -36 244 J q = -36.2 kJ 3.) Calculate the amount of heat required to convert 250 g of liquid oxygen to oxygen gas. q = ml v q = (250 g)(213 J/g°C) q = 53,000 q = 53 kJ 4.) How much ethanol, in grams, will have to brun to melt a 150.0 g ice cube at -10.0°C to produce 150.0 g of water vapour at 120.0°C? q = mc Δ T + ml f + mc Δ T + ml v + mc Δ T q = (150.0 g) (2.10 J/g°C) (10°) + (150.0 g)(333 J/g°C) + (150.0 g) (4.18 J/g°C)(100°) + (150.0 g)(2255 J/g°C) + (150.0 g)(2.01 J/g°C)(20°) q = 3150 + 49950 + 62700 + 338250 + 6030 q = 460,080
q = 460.080 kJ ---------------------- q gained = -q lost 460.080 kJ = n H c 460.080 = n (1367) n= 0.3365 mol -------------------------- m = mm x n m = (46.08)(0.3365) m = 15.5 g 5.) A steam generating unit uses oil to heat lake water at 12.8 °C to steam at 100.0°C. How much heat must be provided from the combustion of oil for every 100.0 kg of water that is converted to steam? q = mc Δ T + ml v q = (100,000 g)(4.18 J/g°C)(87.2°) + (100,000 g)(2255 J/g°C) q = 36,449,600 + 225,500,000 q = 262,000,000 q = 262 MJ 6.) Water enters a refrigerator at 10.3°C. How much heat must be absorbed from the water by the refrigerator in order to produce 15 kg of ice at a temperature of -3.5°C? qgained = -qlost qgained = -(mc Δ T + mcf + mc Δ T) qgained = -[(15,000 g)(4.18 J/g°C)(-10.3°) + -(15,000 g)(333 J/g°C) + (15,000 g)(2.1 J/g°C)(-3.5°)] qgained = -[-645,810 - 4,995,000 - 110,250] qgained = 5,750, 000 qgained = 5.75 MJ ** If you focus on water, it will LOSE -5.75MJ. The question asks you how much the refrigerator gains .
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