Question

Suppose an extremely smallcrystal if uce is added to 10g of supercooled liquid water at 10 degreeC in an adiabatic container and the system reaches equillibrium at a fixed pressure 1 atm. What is deltaS for the process?

Answer 1

Dear Student,

The computation are as expressed below,

$$\begin{gathered} m=10g=0.01kg \\ q=∆H=m{c}_p∆T=0.01\times 4.314\times \left(283-273\right)=0.4314\raisebox{1ex}{$kJ$}\!\left/ \!\raisebox{-1ex}{$mol$}\right.=431.4\raisebox{1ex}{$J$}\!\left/ \!\raisebox{-1ex}{$mol$}\right. \\ ∆S=\frac{∆H}{T_{fu\mathrm{si}on}}=\frac{431.4{\displaystyle \raisebox{1ex}{$J$}\!\left/ \!\raisebox{-1ex}{$mol$}\right.}}{273K}=1.58\raisebox{1ex}{$J$}\!\left/ \!\raisebox{-1ex}{$K.mol$}\right. \end{gathered}$$

Regards.