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Physics: Heat - Google Chrome Secure https://session.masteringphysics.com/myct/i

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Question

Physics: Heat - Google Chrome Secure https://session.masteringphysics.com/myct/itemView?assignmentproblemID=91907625 Heat Adding Ice to Water 80114 ) Constants I Periodic Table Part A An insulated beaker with negligible mass contains liquid water with a mass of 0.260 kg and a temperature of 67.0°( How much ice at a temperature of -100 °C must be dropped into the water so that the final temperature of the system will be 40.0 °C? Take the specific heat of liquid water to be 4190 J/kg. K, the specific heat of ice to be 2100 J/kg- K and the heat of fusion for water to be 3.34x105 J/kg View Available Hint(s) kg mice Submit Next > Provide Feedback

Explanation / Answer

Mass of water M = 0.260 kg

Initial temperature of water t = 60.0o C

Mass of ice m = m

Initial temperature of ice t ' = -10o C

The final temperature of the system T =40.0o C

Specific Heat of liquid water C = 4190 J/kg/oC

Specific Heat of ice c =2100 J/kg/oC

Latent Heat of Fusion of water L = 3.34x 10^5 J/kg

Heat lost by water = heat gain by ice

MC(t-T) = mc(0-t ') + mL + mC(T-0)

21788 = m[21000 + 334000 +167600 ]

From this mass of ice m = 0.04169 kg

= 41.69 g