State Carnot's theorem.
(N/A) Carnot's theorem states two main points regarding the efficiency of heat engines:
$1$. All reversible heat engines operating between the same two temperatures ($T_1$ and $T_2$) have the same efficiency,regardless of the working substance used.
$2$. No irreversible heat engine operating between two given temperatures can have an efficiency greater than that of a reversible heat engine operating between the same two temperatures.
Mathematically,the efficiency $\eta$ of a Carnot engine is given by $\eta = 1 - \frac{T_2}{T_1}$,where $T_1$ is the temperature of the source and $T_2$ is the temperature of the sink.
$1$. All reversible heat engines operating between the same two temperatures ($T_1$ and $T_2$) have the same efficiency,regardless of the working substance used.
$2$. No irreversible heat engine operating between two given temperatures can have an efficiency greater than that of a reversible heat engine operating between the same two temperatures.
Mathematically,the efficiency $\eta$ of a Carnot engine is given by $\eta = 1 - \frac{T_2}{T_1}$,where $T_1$ is the temperature of the source and $T_2$ is the temperature of the sink.
Explore More
Similar Questions
$A$ Carnot engine uses an ideal monoatomic gas first and then an ideal diatomic gas. If the source and sink temperatures are $411^{\circ}C$ and $69^{\circ}C$ respectively,and the engine extracts $1000 \, J$ of heat in each cycle,then the area enclosed by the $PV$ diagram is ........ $J$.
Medium
View SolutionThe efficiency of a reversible engine is . . . . . . the efficiency of an irreversible engine.
Medium
View SolutionThe efficiency of a Carnot engine which operates between the two temperatures $T_1 = 500 \text{ K}$ (source) and $T_2 = 300 \text{ K}$ (sink) is: (in $\%$)
$A$ Carnot engine absorbs heat from a reservoir maintained at temperature $1000 \,K$. The engine rejects heat to a reservoir whose temperature is $T$. If the magnitude of absorbed heat is $400 \,J$ and work performed is $300 \,J$, then the value of $T$ is (in $\,K$)
$A$ Carnot engine with $40\%$ efficiency takes heat at $500 \ K$. If its efficiency is to be $50\%$,then for the same exhaust temperature,the intake temperature must be ..... $K$.
Difficult
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