4. A sheet of gold weighing 10.0 g and at a temperature of 18.0 °C is placed flat on a sheet of iron weighing 20.0 g and at a temperature of 55.6 °C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings.Specific heat Au = 0.129 J/goCSpecific heat Fe = 0.444 J/goC

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Asked Oct 1, 2019

4. A sheet of gold weighing 10.0 g and at a temperature of 18.0 °C is placed flat on a sheet of iron weighing 20.0 g and at a temperature of 55.6 °C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings.

Specific heat Au = 0.129 J/goC
Specific heat Fe = 0.444 J/goC

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Expert Answer

Step 1

The heat lost from the iron sheet will be heat gained by the gold sheet as no heat is lost to the surrounding.

Qlost Qgained
m C AT
Q
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Qlost Qgained m C AT Q

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Step 2

The heat lost by iron having a mass of 20 g and specific heat as 0.444 J/g- oC is calculated as,

Qlost miron X Ciron X (Tinitial - Tfinal)
Qlost 20 x 0.444 x (55.6 - Tinal)
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Qlost miron X Ciron X (Tinitial - Tfinal) Qlost 20 x 0.444 x (55.6 - Tinal)

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Step 3

The heat gained by gold having a mass of 10 g and specific heat...

Qвained %3D mgola X Cgola X (TEnal - Tinitia)
Qsained 3D 10 x 0.129 х (TAmal — 18)
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Qвained %3D mgola X Cgola X (TEnal - Tinitia) Qsained 3D 10 x 0.129 х (TAmal — 18)

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