Correct Answer - Option 2 : 2.93 cal/K

__Concept__:

Entropy

- It is a measure of disturbance, the higher the entropy with the positive sign, the more are the chances of the reaction taking place spontaneously.

\(S = \frac{{{\rm{Δ }}Q}}{T}\)

Where S is entropy, Δ Q is heat exchanged and T is the temperature in Kelvin.

**Latent Heat**

- The heat required to change the state of matter without changing the temperature is called Latent Heat.
- Latent heat of fusion that is heat required by 1 gram of water to raise its temperature by 1 Kelvin or 1 °C is called latent heat of fusion which is

l = 80 calorie.

Calculation:

Given mass of ice = 10 gm

Heat required to convert in water = m × l = 10 gm × 80 cal = 800 Cal

Temperature T = 0°C = 273 K

\(S = \frac{{{\rm{Δ }}Q}}{T}\)

\(\implies S = \frac{800\ cal}{273K}\)

⇒ S = 2.93 cal/K

**So, the correct option is 2.93 cal/K**