In a Carnot engine,if the work done during is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In a Carnot engine,the work done during isothermal expansion $(W_{exp})$ is given by $W_{exp} = nRT_H \ln(V_2/V_1)$ and the work done during isoth

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(C) In a Carnot engine,the work done during isothermal expansion $(W_{exp})$ is given by $W_{exp} = nRT_H \ln(V_2/V_1)$ and the work done during isothermal compression $(W_{comp})$ is given by $W_{comp} = nRT_L \ln(V_2/V_1)$.Given that $W_{exp} = W_{comp} + 0.25 W_{comp} = 1.25 W_{comp}$.Substituting the expressions,we get $nRT_H \ln(V_2/V_1) = 1.25 nRT_L \ln(V_2/V_1)$.This simplifies to $T_H = 1.25 T_L$,or $T_L/T_H = 1/1.25 = 0.8$.The efficiency of a Carnot engine is given by $\eta = 1 - (T_L/T_H)$.Substituting the value,$\eta = 1 - 0.8 = 0.2$.Thus,the efficiency is $20 \%$.

In a Carnot engine,if the work done during isothermal expansion is $25 \%$ more than the work done during isothermal compression,then the efficiency of the engine is: (in $\%$)

Similar Questions

$A$ reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by $52 \, K$,its efficiency is doubled. The temperature in Kelvin of the source will be ...... .

An engine is supposed to operate between two reservoirs at temperatures $727^oC$ and $227^oC$. The maximum possible efficiency of such an engine is:

The efficiency of a Carnot engine is $50\%$ and the temperature of the sink is $500\,K$. If the temperature of the source is kept constant and its efficiency is to be raised to $60\%$,then the required temperature of the sink will be ........... $K$.

What is the source temperature of the Carnot engine required to get $70 \%$ efficiency (in $^{\circ}C$)? Given sink temperature $= 27^{\circ}C$.

$A$ Carnot engine working between $300 \ K$ and $400 \ K$ produces $800 \ J$ of useful work. The amount of heat energy supplied to the engine from the source is: (in $J$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module