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An aluminum calorimeter with a mass of 60 grams contains 120grams of water. The

ID: 1759880 • Letter: A

Question

An aluminum calorimeter with a mass of 60 grams contains 120grams of water. The calorimeter and water are initally inthermal equilibrium at 20 deg C. A piece of metal with massof 90 grams at a temperature of 150 degC and a 10 g piece ofice at a temperature of 0 deg C are simultaneously placed in thecontainer with the water. If at equilibirum the system's newtemp is 25 deg C and all the ice has melted, what must the specificheat of the metal be? the answer sould be 0.152 cal/ g.C thanks. An aluminum calorimeter with a mass of 60 grams contains 120grams of water. The calorimeter and water are initally inthermal equilibrium at 20 deg C. A piece of metal with massof 90 grams at a temperature of 150 degC and a 10 g piece ofice at a temperature of 0 deg C are simultaneously placed in thecontainer with the water. If at equilibirum the system's newtemp is 25 deg C and all the ice has melted, what must the specificheat of the metal be? the answer sould be 0.152 cal/ g.C thanks.

Explanation / Answer

mass of container m = 60 g mass of water m ' = 120 g Initial temp of calorimeter and water t = 20 oC mass of metal piece M = 90 g Initial temp of piece t ' = 150 oC mass of ice M ' = 10 g Initial temp of the ice t " = 0 oC Final temp T = 25 oC We know heat lost by piece = heat gain by water + calorimeter+ ice                      MC dt = m ' c ' dt ' + m c dt ' + M ' L + M ' dt " where dt = 150 -25 = 125           dt ' = 25 - 20 = 5           dt" = 20 - 0 = 20           C=specific heat of piece =?           c ' =specific heat of water = 4.184 J / goC           c =specific heat of aluminium = 0.9 J / g oC           L =latent heat of fusion of water = 334.72 J / g plug the values weget C value
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