A sample of aluminum, which has a specific heat capacity of 0.897·J·g−1°C^−1 , is put into a calorimeter (see sketch at right) that contains 300.0g of water. The aluminum sample starts off at 94.5°C and the temperature of the water starts off at 21.0°C .When the temperature of the water stops changing it's 23.8°C .The pressure remains constant at 1atm .Calculate the mass of the aluminum sample.

The mass of aluminium sample is 55.4 gram

Explanation:

As we know that,  

where,

= mass of aluminium = ?

= mass of water = 300.0 g

= final temperature =

= temperature of aluminium =

= temperature of water =

= specific heat of aluminium =

= specific heat of water =  

Now put all the given values in equation (1), we get

Therefore, the mass of aluminium sample is 55.4 gram

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