Answer:
The value of the specific heat capacity is 4.89 J/g°C
Explanation:
First of all, let's make the equation.
Assume the calorimeter behaves ideally and does not absorb or release heat, this phrase explains that all the heat released the metal, was gained by the water so:
Qmetal = metal mass . C metal . ΔT
Q water = water mass . C H2O . ΔT
Q metal = Q water
21.5 g . C metal (32.5 °C - 98°C ) = 150 g . 4.18 J/g°C (32.5°C - 21.5°C)
21.5 g . C metal . -65.5 °C = 150g . 4.18 J/g°C . 11°C
21.5 g . C metal . -65.5 °C = 6897 J
C metal = 6897 J /21.5 g . 65.5°C
C metal = 4.89 J/g°C
Notice that specifc heat is a constant. It can be negative. NEVER
We use the absolute value. |x|