Question

A system at 500 k receives 7200 kj/min from a source at 1000 k. the temperature of atmosphere is 300 k. if the temperatures of system and source is assumed to remain constant during heat transfer. find out the entropy produced during heat transfer

Answer 1

The entropy produced during heat transfer is found by calculating the change in entropy for both the system and source, assuming constant temperatures and using the formula ΔS = Q/T.

Step-by-step explanation:

The question involves calculating the entropy produced during a heat transfer process in thermodynamics, which falls under the subject of physics at the college level. To find the entropy produced, we must consider the entropy change for the system receiving the heat and for the environment, separately. The heat transfer to the system increases its entropy, while the heat transfer to the environment decreases the environment's entropy. The total entropy change is the sum of these changes.

Using the formula ΔS = Q/T, where Q is the heat exchanged and T is the temperature in Kelvin, we can calculate the entropy change for the system as follows:

• Entropy change for the system receiving heat (ΔS_system) is Q_source/T_system.
• Entropy change for the source providing heat (ΔS_source) is -Q_source/T_source.
• Total entropy produced (ΔS_total) is ΔS_system + ΔS_source.

The negative sign in ΔS_source is because the source loses heat. Keep in mind that this question assumes the system and source temperatures remain constant during heat transfer and the process is irreversible, leading to an overall increase in entropy.