High School

A 103,000 kg iceberg at \(-6.3^\circ \text{C}\) breaks away from the polar ice shelf and floats into the ocean at \(7.85^\circ \text{C}\). What is the final change in the entropy of the system when the iceberg has completely melted?

The specific heat of ice is \(2010 \, \text{J/kg} \cdot \text{°C}\).

Answer in units of J/K.

Answer :

Final answer:

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

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.

Other Questions