The change in entropy when 1 kg of ice melts at 0°C is (in J/K). (L_ice = 333 J/g.) A) 335. B) 603. C) 1 220. D) 1 310. E) 2 160.

Question

Quizplus · Accepted Answer

We know that the change in entropy (ΔS) of a system is given by the formula:

ΔS = q/T

where q is the heat transferred to or from the system, and T is the temperature at which the transfer takes place.

In this case, we have 1 kg of ice at 0°C that melts to form liquid water at 0°C. We need to find the change in entropy of this system.

We can calculate the heat required to melt the ice using the formula:

q = m * L

where m is the mass of the ice (1 kg), and L is the heat of fusion of ice (333 J/g).

So, q = 1 kg * 333 J/g = 333000 J

The temperature at which the transfer takes place is 0°C, which is equal to 273 K.

Therefore, ΔS = q/T = 333000 J / 273 K = 1220 J/K

So the best choice is C.

The Change in Entropy When 1 Kg of Ice Melts