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Chapter 12: Q32P (page 509)

A block100-gof metal at a temperature of20°Cis placed into an insulated container with 400g of water at a temperature of0°C. The temperature of the metal and water ends up at 2°C . What is the specific heat of this metal, per gram? Start from the Energy Principle. The specific heat of water is 4.2 J/K/g.

Short Answer

Expert verified

The specific heat of this metal is 1.86 J/K/g.

Step by step solution

01

Given data

Mass of the metal mm=100g

Initial temperature of metal tm=20°C

Mass of watermw=400g

Initial temperature of watertw=0°C

Final temperatureT=2°C

Heat capacity of water cw=4.2J/K/g

02

Definition of specific heat

Heat capacity is a physical property of matter, defined as the amount

of the heat to be supplied to an object to produce a unit change in its

temperature.

03

Determine the specific heat of metal

Heat lost by metal = Heat gain by water

mmcm20°C-2°C=mwcw20°C-2°C⇒100cm18=4004.22cm=4004.2210018=1.86J/K/g

Hence, specific heat of metal will be cm=1.86J/K/g.

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