Answer:
1013.32 J/kg.K
Explanation:
The heat transferred by a changing in temperature without phase change can be calculated by:
Q = m*c*ΔT
Where m is the mass, c is the specific heat, and ΔT is the change in temperature (final - initial).
The values of c for water and copper can e found in thermodynamics tables:
cwater = 4.19x10³ J/kg.K
ccopper = 0.39x10³ J/kg.k
By the conservation of energy:
Qwater + Qcopper + Qmaterial = 0
0.200*4.19x10³*(26.1 - 19.0) + 0.150*0.39x10³*(26.1 - 19.0) + 0.085*c*(26.1 - 100) = 0
5949.8 + 415.35 - 6.2815c = 0
6.2815c = 6365.15
c = 1013.32 J/kg.K