A thermodynamic cycle takes in heat energy at a high temperature and rejects energy at a lower temperature. If the amount of energy rejected at the low temperature is $3$ times the amount of work done by the cycle, the efficiency of the cycle is
Medium
Download our app for free and get started
Let heat taken be $Q_{1}$, heat rejected be $Q_{2},$ and work done be $W$
Then $Q_{2}=3 W$
Also, $Q_{1}=Q_{2}+W$
$\Rightarrow Q_{1}=4 W$
Efficiency of cycle=work done/heat taken $=\frac{W}{4 W}=\frac{1}{4}=0.25$
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
- 1View SolutionThe first operation involved in a Carnot cycle is
- 2In the reported figure, heat energy absorbed by a system in going through a cyclic process is $......\,\pi J$View Solution
- 3A gas is compressed from a volume of $2\,m^3$ to a volume of $1\, m^3$ at a constant pressure of $100\, N/m^2$. Then it is heated at constant volume by supplying $150\, J$ of energy. As a result, the internal energy of the gasView Solution
- 4Consider $1 \,kg$ of liquid water undergoing change in phase to water vapour at $100^{\circ} C$. At $100^{\circ} C$, the vapour pressure is $1.01 \times 10^5 \,N - m ^2$ and the latent heat of vaporization is $22.6 \times 10^5 \,Jkg ^{-1}$. The density of liquid water is $10^3 \,kg m ^{-3}$ and that of vapour is $\frac{1}{1.8} \,kg m ^{-3}$. The change in internal energy in this phase change is nearly ............ $\,J kg ^{-1}$View Solution
- 5$P_i, V_i$ and $P_f$, $V_f$ are initial and final pressures and volumes of a gas in a thermodynamic process respectively. If $PV^n =$ constant, then the amount of work done isView Solution
- 6One mole of an ideal gas at an initial temperature of $T\, K$ does $6 R$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $5/3$, the final temperature of gas will beView Solution
- 7Three samples of the same gas $A, B$ and $C(\gamma = 3/2)$ have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for $A$ isobaric for $B $ and isothermal for $C$. If the final pressures are equal for all three samples, the ratio of their initial pressures areView Solution
- 8Two cylinders contain same amount of ideal monatomic gas. Same amount of heat is given to two cylinders. If temperature rise in cylinder $A$ is $T_0$ then temperature rise in cylinder $B$ will be .........View Solution
- 9Find the amount of work done to increase the temperature of one mole of an ideal gas by $30^o\ C$ if it is expanding under the condition .... $J$View Solution
$V\propto {T^{\frac{2}{3}}}$ $[R = 1.99\ cal/mol-K]$
- 10How much work to be done in decreasing the volume of and ideal gas by an amount of $2.4 \times {10^{ - 4}}{m^3}$ at normal temperature and constant normal pressure of .......$joule$ $1 \times {10^5}N/{m^2}$View Solution