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)

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)

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter12: Thermodynamic Processes And Thermochemistry

Section: Chapter Questions

Problem 29P

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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