What is the efficiency of a heat engine? Write its formula.
(N/A) The efficiency $\eta$ of a heat engine is defined as the ratio of the net work done $(W)$ by the engine per cycle to the total heat absorbed $(Q_H)$ from the hot reservoir (source) per cycle.
It represents the fraction of heat energy converted into useful work.
The formula for efficiency is given by:
$\eta = \frac{W}{Q_H}$
Since $W = Q_H - Q_L$ (where $Q_L$ is the heat rejected to the cold reservoir or sink), the formula can also be expressed as:
$\eta = 1 - \frac{Q_L}{Q_H}$
Efficiency is typically expressed as a percentage by multiplying the result by $100\%$.
It represents the fraction of heat energy converted into useful work.
The formula for efficiency is given by:
$\eta = \frac{W}{Q_H}$
Since $W = Q_H - Q_L$ (where $Q_L$ is the heat rejected to the cold reservoir or sink), the formula can also be expressed as:
$\eta = 1 - \frac{Q_L}{Q_H}$
Efficiency is typically expressed as a percentage by multiplying the result by $100\%$.
Explore More
Similar Questions
$A$ Carnot engine operates between $300 \ K$ and $600 \ K$. If the work done per cycle is $800 \ J$,then the heat supplied per cycle is ....... $J/cycle$.
Medium
View Solution$A$ Carnot engine operating between temperatures $T_1$ and $T_2$ has efficiency $\frac{1}{6}$. When $T_2$ is lowered by $60\,K$,its efficiency increases to $\frac{1}{3}$. Then $T_1$ and $T_2$ are respectively:
Difficult
View SolutionAn engine has an efficiency of $1/6$. When the temperature of the sink is reduced by $62^{\circ}C$,its efficiency is doubled. The temperature of the source is ....... $^{\circ}C$.
DifficultAIPMT 2007
View SolutionGiven below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: Efficiency of a reversible heat engine will be highest at $-273^{\circ} C$ temperature of cold reservoir.
Reason $R$: The efficiency of Carnot's engine depends not only on the temperature of the cold reservoir but it depends on the temperature of the hot reservoir too and is given as $\eta = (1 - \frac{T_2}{T_1})$.
In the light of the above statements,choose the correct answer from the options given below:
Assertion $A$: Efficiency of a reversible heat engine will be highest at $-273^{\circ} C$ temperature of cold reservoir.
Reason $R$: The efficiency of Carnot's engine depends not only on the temperature of the cold reservoir but it depends on the temperature of the hot reservoir too and is given as $\eta = (1 - \frac{T_2}{T_1})$.
In the light of the above statements,choose the correct answer from the options given below:
What is a heat engine?
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo