In a Carnot engine, when ${T_2} = {0^o}C$ and ${T_1} = {200^o}C,$ its efficiency is ${\eta _1}$ and when ${T_1} = 0{\,^o}C$ and ${T_2} = - 200{\,^o}C$, Its efficiency is ${\eta _2}$, then what is ${\eta _1}/{\eta _2}$
Medium
Download our app for free and get started
(a) $\eta = 1 - \frac{{{T_2}}}{{{T_1}}} = \frac{{{T_1} - {T_2}}}{{{T_1}}}$ $ \Rightarrow \,{\eta _1} = \frac{{(473 - 273)}}{{473}} = \frac{{200}}{{473}}$
and ${\eta _2} = \frac{{273 - 73}}{{273}} = \frac{{200}}{{273}}$
So required ratio $\frac{{{\eta _1}}}{{{\eta _2}}} = \frac{{273}}{{473}} = 0.577$
and ${\eta _2} = \frac{{273 - 73}}{{273}} = \frac{{200}}{{273}}$
So required ratio $\frac{{{\eta _1}}}{{{\eta _2}}} = \frac{{273}}{{473}} = 0.577$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The work of $146\ kJ$ is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by $7^o C$. The gas is $(R=8.3\ J\ mol^{-1} K^{-1})$View Solution
- 2View SolutionThe process in which no heat enters or leaves the system is termed as
- 3Initial pressure and volume of a gas are $ P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $ V$. The final pressure of gas will beView Solution
- 4View SolutionEntropy of a system decreases .........
- 5A thermodynamic system is taken from an original state $D$ to an intermediate state $E$ by the linear process shown in the figure. Its volume is then reduced to the original volume from $E$ to $F$ by an isobaric process. The total work done by the gas from $D$ to $E$ to $F$ will be $......J$View Solution
- 6If ${C_V} = 4.96cal/mole\, K$, then increase in internalenergy when temperature of $2$ moles of this gas is increased from $340 K$ to $342 K$ ....... $cal$View Solution
- 7The pressure in the tyre of a car is four times the atmospheric pressure at $300 K$. If this tyre suddenly bursts, its new temperature will be $(\gamma = 1.4)$View Solution
- 8For an isothermal expansion of a perfect gas, the value of $\frac{{\Delta P}}{P}$ is equalView Solution
- 9$n$ moles of a van der Waals' gas obeying the equation of state $\left(p+\frac{n^2 a}{V^2}\right)(V-n b)=n R T$, where $a$ and $b$ are gas dependent constants, is made to undergo a cyclic process that is depicted by a rectangle in the $p-V$ diagram as shown below. What is the heat absorbed by the gas in one cycle?View Solution
- 10A gas undergoes a change of state during which $100 J$ of heat is supplied to it and it does $20 J$ of work. The system is brought back to its original state through a process during which $20 J$ of heat is released by the gas. The work done by the gas in the second process is ....... $J$View Solution