100 gram of ice at `0^@C` is converted into water vapour at `100^@C` Calculate the change in entropy.

Explanation

`underset(0^(@)C)"ice"rarrunderset(0^(@)C)"Water"`
`DeltaS_1=(DeltaQ)/(T_1)=(mL_(ice))/(T_1)=(100xx80)/(273)=29.3(cal)/(K)`
`underset(0^(@)C)"Water"rarrunderset(100^(@)C)"Water"`
`DeltaS_2=ms_(omega)ln(T_2)/(T_1)=100xx1xxln((373)/(273))`
`=100ln(1.4)(cal)/(K)`
`underset(100^(@)C)"Water"rarrunderset(100^(@)C)"Vapour"`
`DeltaS=(DeltaQ)/(T_2)=(mL_(stream))/(T_2)=(100xx540)/(373)=144.8(cal)/(K)`
Not change in entropy
`DeltaS=DeltaS_1+DeltaS_2+DeltaS_3`
`=29.3+100ln(1.4)+144.8`
`=174.1+100ln(1.4)(cal)/(K)`