See when u will solve it by (t1-t2)/(t1) it's eff will be 25% , and it's claiming 26% and so impossible!!!

It is impossible for the efficiency of an engine to be 26% when the temperatures of the source and sink are 127°C and 27°C respectively. Here's an explanation why:

Understanding Efficiency:
Efficiency of an engine is calculated as the ratio of the useful work output to the energy input. It is a measure of how effectively an engine converts input energy into useful work.

Efficiency Formula:
Efficiency = (Useful work output / Energy input) * 100%

Temperature Difference:
The efficiency of an engine is directly related to the temperature difference between the source and the sink. The larger the temperature difference, the higher the potential efficiency.

Carnot Efficiency:
The Carnot efficiency is the maximum efficiency that any heat engine can achieve. It depends solely on the temperatures of the source and sink.

Explanation:
In this case, the inventor claims an efficiency of 26% with a temperature difference of 100°C (127°C - 27°C), which is highly improbable. Let's calculate the Carnot efficiency to understand why it's impossible.

Carnot Efficiency Formula:
Carnot efficiency = 1 - (Tc / Th)

Where:
Tc = Temperature of the cold reservoir (sink)
Th = Temperature of the hot reservoir (source)

Calculating Carnot Efficiency:
Given:
Tc = 27°C = 27 + 273 = 300 K
Th = 127°C = 127 + 273 = 400 K

Carnot efficiency = 1 - (300 / 400) = 1 - 0.75 = 0.25 or 25%

The Carnot efficiency for this temperature difference is 25%, which is lower than the claimed efficiency of 26%. This means that the inventor's claim contradicts the fundamental principles of thermodynamics.

Reasoning:
According to the second law of thermodynamics, it is not possible to achieve an efficiency greater than the Carnot efficiency. Therefore, an efficiency of 26% with the given temperature difference is not feasible.

Possible Explanations:
1. Measurement Error: There might be an error in the measurements or calculations made by the inventor, leading to an incorrect efficiency value.
2. Misinterpretation: The inventor might not fully understand the concept of efficiency or might have mistakenly attributed the efficiency value to the wrong parameters.

Conclusion:
Based on the fundamental principles of thermodynamics and the Carnot efficiency, it is impossible for the efficiency of an engine to be 26% when the temperatures of the source and sink are 127°C and 27°C respectively. The inventor's claim is most likely incorrect or based on a misunderstanding of the concepts involved.