Final answer:
The change in entropy when heat flows through a rod can be calculated using the formula ΔS = Q/T. In this case, the change in entropy is 83.68 J/K.
Step-by-step explanation:
The change in entropy when heat flows through a rod can be calculated using the formula:
ΔS = Q/T
Where ΔS is the change in entropy, Q is the amount of heat flowing through the rod, and T is the temperature of the rod.
In this case, the amount of heat flowing through the rod is 2000 calories, which can be converted to joules (1 calorie = 4.184 joules). The temperature difference between the two ends of the rod is 227 - 127 = 100 Kelvin.
So, plugging the values into the formula:
ΔS = (2000 * 4.184) / 100 = 83.68 J/K