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512 g of an unknown metal at a temperature of 15°C is dropped into a 100 g aluminum container holding 325 g of water at 98°C. A short time later, the container of water and metal stabilizes at a new temperature of 78°C. Identify the metal.

Short Answer

Expert verified

The result indicates the specific heat of aluminium

Step by step solution

01

Definition of specific heat 

The amount of heat needs to raise up 1-degree Celsius temperature is known as specific heat

02

Finding the specific heat 

The relation between specific heat with metal, aluminium and water is

cm,mm×∆T=(cw×mw+cAl×mAl)∆T

specific heat of metal, water and aluminium and temperature difference defines

cm=(cw×mw+cAl×mAl)∆Tmm×∆Tcm=(4190×0.325+900×0.198-780.518×(78-15)=900JKgK

The metal is aluminium as its specified heat is same

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