Question

A sample of aluminum, which has a specific heat capacity of , is put into a calorimeter (see sketch at right) that contains of water. The temperature of the water starts off at . When the temperature of the water stops changing it's . The pressure remains constant at .Calculate the initial temperature of the aluminum sample. Be sure your answer is rounded to significant digits.

Answer 1

Complete Question

A sample of aluminum, which has a specific heat capacity of 0.897 JB loc ! is put into a calorimeter (see sketch at right) that contains 200.0 g of water. The aluminum sample starts off at 85.6 °C and the temperature of the water starts off at 16.0 °C. When the temperature of the water stops changing it's 20.1 °C. The pressure remains constant at 1 atm. Calculate the mass of the aluminum sample.

Answer:

$M=58g$

Explanation:

From the question we are told that:

Heat Capacity $H=0.897$

Mass of water $M=200g$

Initial Temperature of Aluminium $T_a=85.6$

Initial Temperature of Water $T_{w1}=16.0$

Final Temperature of Water  $T_{w2}=16.0$

Generally

Heat loss=Heat Gain

Therefore

$M*0.897*(85.6-20.1) =200*4.184*(20.1-16)$

$M=58g$