Question

A 103000 kg iceberg at −6.3 ◦c breaks away from the polar ice shelf and floats away into the ocean at 7.85◦c. what is the final change in the entropy of the system, when the iceberg has completely melted? the specific heat of ice is 2010 j/kg · ◦c. answer in units of j/k.

Answer 1

The change in entropy of the system is 1.22×10^3 J/K.

Step-by-step explanation:

The change in entropy of the system can be calculated using the equation AS = Q / T, where AS is the change in entropy, Q is the heat transfer, and T is the temperature.

In this case, the heat transfer can be calculated using the equation Q = mL, where m is the mass and L is the latent heat of fusion.

Given that the mass of the iceberg is 103000 kg and the latent heat of fusion of ice is 334 kJ/kg, the heat transfer is Q = (103000 kg) * (334 kJ/kg) = 3.34×10^5 J.

The melting temperature of ice is 0°C = 273 K. Substituting these values into the first equation, the change in entropy is AS = (3.34×10^5 J) / (273 K) = 1.22×10^3 J/K.