Question

Calculate the theoretical maximum efficiency of a heat engine operating between \[373K\]and \[173K\]
A. \[43.6\% \]
B. \[33.6\% \]
C. \[63.6\% \]
D. \[53.6\% \]

Answer 1

Hint:As we are given with two temperatures in question one is lower and other is higher and we know the formula for efficiency is \[E = \dfrac{{{T_{high}} - {T_{low}}}}{{{T_{high}}}}\]and substitute the value of high as \[373K\]and low as \[173K\]and calculate the efficiency.

Complete step-by-step solution:As in the given question we are given with two temperature with high as, \[373K\]
And low temperature as, \[173K\]
And we know the efficiency can be calculated as, \[E = \dfrac{{{T_{high}} - {T_{low}}}}{{{T_{high}}}}\]
And substitute the values of high and low temperature in given equation,
\[E = \dfrac{{373 - 173}}{{373}}\]
\[E = \dfrac{{200}}{{373}}\], and to calculate the efficiency in percentage then,
\[E\% = \dfrac{{200}}{{373}} \times 100\]
\[E\% = 53.6\% \]
So the correct option is D.

Additional Information:
Originators are as of now taking a shot at overhauling the inward ignition vitality. There are truly billions of varieties in the boundaries that influence motor execution. The issue looked by fashioners is that upgrades in the zone of emanations control regularly adversely impact eco-friendliness. Try to discover the harmony between the various plan boundaries. The proficiency of a vehicle motor can be controlled by looking at the info and yield vitality. The info vitality would be the measure of substance potential vitality that would be put away in the atoms found in the fuel. As this vitality is delivered by burning, various vitality changes happen. A significant part of the vitality is lost as warmth and sound vitality. The cooling framework in a vehicle is significant to eliminating this warmth vitality from the motor. Not exactly a fourth of the vitality delivered from the fuel is really transformed into dynamic vitality. Most of the vitality is just lost during the vitality changes that happen in the motor of the vehicle. Percent productivity is determined by contrasting the yield vitality, the active vitality is the situation of a vehicle, with the information vitality, the vitality contained inside the particles of the fuel.

Note:- Remember the efficiency of the engine can be increased by increasing the higher temperature and decreasing the lower temperature through which the engine will work more efficiently and effectively.