Problem: A 54.0 g block of an unknown metal is heated in a hot water bath to 100.0°C. When the block is placed in an insulated vessel containing 130.0 g of water at 25.0°C, the final temperature is 28.0°C. Determine the specific heat of the unknown metal. The Cs for water is 4.18 J/g°C.

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FREE Expert Solution
FREE Expert Solution

We’re being asked to determine the specific heat of an unknown substance in the given system.


We will use the heat released by the unknown metal to calculate its specific heat capacity. 

Recall that heat (q) can be calculated using the following equation:

q=mcT

q = heat, J

+qabsorbs heat
–qloses heat

 m = mass (g)
 c = specific heat capacity = J/(g·°C)
 ΔT = Tf – Ti = (°C)


Based on the given system:

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Problem Details

A 54.0 g block of an unknown metal is heated in a hot water bath to 100.0°C. When the block is placed in an insulated vessel containing 130.0 g of water at 25.0°C, the final temperature is 28.0°C. Determine the specific heat of the unknown metal. The Cs for water is 4.18 J/g°C.