Question

150 J of heat has been added to the gas When 1 kg of ice at $0^{\circ }C$ melts to water at $0^{\circ }C$ the resulting change in its entropy latent heat of ice to be $80cal{/}^{\circ }C$ is

• A. $273cal/K$
• B. $8\times 104cal/K$
• C. $80calK$
• D. $293cal/K$

Answer 1

The correct option is D $293cal/K$

Given,

$m=1kg=1000g$

$L=80cal/g$

$T=0^{0}C=273K$

Entropy for solid and liquid when heat is given to substance to change its state at constant temperature.

$\Delta S=\frac{\Delta Q}{T}=\frac{mL}{T}$

$\Delta S=\frac{1000\times 80}{273}$

$\Delta S=293cal/K$

The correct option is D.