calculate the heat gained by the water: Q=CmΔT heat lost by sample: ms* cs *(Ts-T) = mw *cw (T -Tcw) + mc *cc *(T-Tcw)  solve for the specific heat of the unknown  known unknown (ms) mass of unknown= 240.40g (Cs) specific heat of sample: ? (Ts) Temp initial of sample: assume 100°C   (mc) mass of dry cup: 31.3g   (mw) mass of water: 127.3g   (cw) specific heat of water: 4186 J/kg °C   (Tcw) initial temp of water: 12°C   (Cc) specific heat of cup: use Aluminium 900 J/kg °C   (T) final temp 23°C   (I tried it and I'm not sure if I have a correct answer, so if you can please do it step by step to show me where I made mistakes)

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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calculate the heat gained by the water: Q=CmΔT

heat lost by sample: ms* cs *(Ts-T) = mw *cw (T -Tcw) + mc *cc *(T-Tcw) 

solve for the specific heat of the unknown 

known unknown
(ms) mass of unknown= 240.40g (Cs) specific heat of sample: ?
(Ts) Temp initial of sample: assume 100°C  
(mc) mass of dry cup: 31.3g  
(mw) mass of water: 127.3g  
(cw) specific heat of water: 4186 J/kg °C  
(Tcw) initial temp of water: 12°C  
(Cc) specific heat of cup: use Aluminium 900 J/kg °C  
(T) final temp 23°C  

(I tried it and I'm not sure if I have a correct answer, so if you can please do it step by step to show me where I made mistakes) 

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