Calculate dS for the overall process of 10g of ice, initally at -15oC melting in 30g of liq water at 60oC and reaching thermal equilibrium.
assume process occurs in an isolated system
these are my thoughts:
thermal eq: dq=0
heating ice + melting ice +heating cold water - cooling hot water = 0
mCdT + mol*dH + mCdT - mCdT = 0
from here i assume that T_f is the same for cold and hot water
T_f = [ - mCdT (heating ice) - mol*dH (melting ice) + mCT_i (initial cold water) - mCT_i (initial hot water) ] / C_water*(m_coldwater - m_hotwater)
the constants i used are:
Heat of fusion= 6.0 kJ/mol
Csp(s)=2.01 J/gK
Csp(l)=4.18 J/gK
The T_f i get is 133oC
i know this is clearly wrong but i cant seem to find mistake