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`

Step-by-step 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`