What is the change in entropy when 1 kg of ice melts at 0°C is (in J/K)? (LF,ice = 333 J/g.)
A)335.
B)603.
C)1220.
D)1310.
E)2160.

Question

Quizplus · Accepted Answer

The change in entropy of ice melting can be calculated by using the formula ΔS = Q/T, where Q is the heat absorbed by the system and T is the temperature in Kelvin.

Q = mass × specific heat capacity × ΔT
Here mass = 1 kg, specific heat capacity = 333 J/g = 333000 J/kg, ΔT = 0°C to 0°C = 0 K. 
Therefore, Q = 1 kg × 333000 J/kg × 0 K = 0 J.

So, the change in entropy can be calculated as follows:

ΔS = Q/T 
= 0 J / 273 K (0°C + 273) 
= 0 J/K

However, this calculation only takes into account the entropy change due to the thermal energy of melting. It does not consider any other contributions to the entropy change, such as changes in molecular configuration or disorder. In reality, there will be some entropy change, but it is likely to be small compared to the thermal contribution.

Therefore, the best answer choice that matches with the given options is C) 1220 J/K.

What Is the Change in Entropy When 1 Kg of Ice