Entropy Change Contributed by a Person Heating the Surroundings

Introduction:
Entropy is a state function that describes the degree of disorder or randomness in a system. It is a measure of the number of possible arrangements of a system's particles that would give rise to the observed macroscopic state. In this case, we will calculate the entropy change contributed by a person heating the surroundings.

Given Data:
Rate of heating the surroundings by a person = 100 W/s
Temperature of surroundings = 20 °C

Calculation:
We can use the following equation to calculate the entropy change contributed by heating the surroundings:

ΔS = Q/T

Where ΔS is the entropy change, Q is the heat transferred, and T is the temperature of the surroundings. As we know that the person is heating the surroundings at a rate of 100 W/s, we can calculate the heat transferred in a given time period. Let's assume that the person heats the surroundings for 1 hour or 3600 seconds.

Heat transferred = Rate of heating x Time
Q = 100 W/s x 3600 s
Q = 360000 J

Now, we can calculate the entropy change using the above equation.

ΔS = 360000 J / (20 + 273) K
ΔS = 1186.7 J/K

Therefore, the entropy change contributed by a person heating the surroundings at a rate of 100 W/s for 1 hour at a temperature of 20 °C is 1186.7 J/K.

Explanation:
When a person heats the surroundings, the energy is transferred from the person's body to the surroundings in the form of heat. This heat energy increases the randomness or disorder of the surroundings, which leads to an increase in entropy. The entropy change can be calculated using the above equation, which takes into account the heat transferred and the temperature of the surroundings. In this case, we assume that the person heats the surroundings for 1 hour, and the temperature of the surroundings is 20 °C. The final result shows that the entropy change contributed by the person is positive, which means that the randomness or disorder of the surroundings has increased.