Final answer:
The largest entropy increase when heating 1 L of water by 10°C occurs at the lowest initial temperature, which is 0°C. This is due to heat representing a larger proportion of the total thermal energy at lower temperatures.
Step-by-step explanation:
Entropy and Temperature
The question concerning the largest entropy increase when heating 1 L of water by 10°C depends on the initial temperature. To understand this concept, we need to consider the definition of entropy and how it is related to temperature. The entropy of a system is a measure of the disorder or randomness within that system, and it is closely related to heat and temperature changes.
From a thermodynamics perspective, a small temperature change at a lower temperature can result in a larger entropy change than the same temperature change at a higher temperature. This is because at lower temperatures, a given amount of heat represents a larger proportion of the total thermal energy of the system than it does at higher temperatures. Therefore, the largest entropy increase for heating 1 L of water by 10°C would occur at the lowest initial temperature option presented, which is 0°C (option A).