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(11%) Problem 2: Suppose you place 0.27 kg of 22°C water in a 0.525 kg aluminum

ID: 1731578 • Letter: #

Question

(11%) Problem 2: Suppose you place 0.27 kg of 22°C water in a 0.525 kg aluminum pan with a temperature of 149°C, and 0.0125 kg of the water evaporates immediately, leaving the remainder to come to a common temperature with the pan Specific heat (c) Substances Solids Aluminum Concrete Copper Granite Ice (average 900 840 387 840 2090 0.215 0.20 0.0924 0.20 0.50 Liquids Water 4186 1.000 Gases Steam (100°C) 1520 (2020) 0.36300.482 ©theexpertta.com ? What would be the final temperature, in degrees Celsius, of the pan and water? The heat of vaporization of water is kJ/kg. You may neglect the effects of the surroundings and the heat required to raise the temperature of the vaporized water 2256 Grade Summary Deductions Potential 0% 100% sin() cos() tan() ? () 789 cotan asin ?? Submissions acosO atan acotan) sinh) coshOtanh)cotanh() 12 3 0 BACKSPA DEL Attempts remaining: 210 (0% per attempt) detailed view END o Degrees O Radians 0 Submit ve u Hints: 1 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. Some water is lost immediately to evaporation and then heat flows from the pan to the remaining water until thev reach the same temperature

Explanation / Answer

using Q1 = m C dT

dT = 100 - 22 = 78oC

Q1 = 0.27 X 4186 X 78

Q1 = 88157.16 J = 88.15716 kJ

Q2 = m Lv

= 0.0125 X 2256

= 28.2 kJ

Q = 88.15716 kJ + 28.2 kJ

Q = 116.35716 kJ

Q ' = Q = 0.525 X 900 X ( -149 + T )

116.35716 X 103 = 0.525 X 900 X ( -149 + T )

( -149 + T ) = 246.2585

T = 395.2585 K

T = 122.1oC