Answer:
0.752 J/g*K
Explanation:
The heat lost by the alloy (which is negative) must be equal to the heat gained by the water and the coffee cup:
-Qa = Qw + Qc
-ma*ca*ΔTa = mw*cw*ΔTw + C*ΔTc
Where, m is the mass, c is the specific heat capacity, C is the heat capacity of the coffee cup, ΔT is the change in temperature, a represents the alloy, and w the water.
The coffee cup has initial temperature equal to the water, then:
-30.5*ca*(31.1 - 95.0) = 49.3*4.184*(31.1 - 24.3) + 9.2*(31.1 - 24.3)
1948.95ca = 1465.20
ca = 0.752 J/g*K
This is true
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