Start by giving us the expression for the change in entropy dS due to an infinitessimal heat flow dQ.kukulalalu89 said:A 11 g ice cube at -20°C is placed in a lake whose temperature is 13°C. Calculate the change in entropy of the cube-lake system as the ice-cube comes into thermal equilibrium with the lake. The specific heat of ice is 2220 J/kg*K. (Hint: Will the ice cube affect the temperature of the lake?)
Entropy is a measure of the disorder or randomness of a system. In this case, it is important to calculate the change in entropy of the cube-lake system to understand how the system is evolving and how energy is being transferred and distributed.
The change in entropy of the cube-lake system is influenced by temperature, pressure, and the number of particles present. Additionally, any changes in the system such as heat transfer, chemical reactions, or physical movements can also affect the change in entropy.
The change in entropy is calculated using the equation ΔS = Q/T, where ΔS is the change in entropy, Q is the heat transferred, and T is the temperature in Kelvin. This equation is based on the second law of thermodynamics, which states that entropy of a closed system will either remain constant or increase over time.
The second law of thermodynamics states that the entropy of a closed system will either remain constant or increase over time. This means that the change in entropy of the cube-lake system should be a positive value, indicating an increase in disorder or randomness within the system.
By calculating the change in entropy of the cube-lake system, scientists can gain insight into how the system is evolving and how energy is being transferred and distributed. This information can then be used to make predictions about future changes in the system, such as changes in temperature or pressure, and how these changes will affect the system's entropy.