Six moles of an ideal gas perfomrs a cycle shown in figure. If the temperature are T_A = 600 K, T_B = 800 K, T

Q: Six moles of an ideal gas perfomrs a cycle shown in figure. If the temperature are $T_A = 600 K, T_B = 800 K, T_C = 2200 K \,and\, T_D = 1200 K$, the work done per cycle is ..... $kJ$

c (c) Processes $A$ to $B$ and $C$ to $D$ are parts of straight line graphs of the form $y = mx$ Also $P = \frac{{\mu R}}{V}T$ ($\mu = 6$) ==> $P \propto T.$ So volume remains constant for the graphs $AB$ and $CD$ So no work is done during processes for $A$ to $B$ and $C$ to $D$ i.e., $W_{AB} = W_{CD} = 0$ and $W_{BC} = P_2(V_C -V_B) = µR (TC -TB)$ $= 6R (2200 -800) = 6R \times 1400 J$ Also $ W_{DA} = P_1 (V_A -V_D) = µR(T_A -T_B)$ $= 6R (600 -1200)= -6R \times 600 J$ Hence work done in complete cycle $W = W_{AB} + W_{BC} + W_{CD} + W_{DA}$ $= 0 + 6R \times 1400 + 0 -6R \times 600$ $= 6R \times 900 = 6 \times 8.3 \times 800 ≈ 40 kJ$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

Six moles of an ideal gas perfomrs a cycle shown in figure. If the temperature are $T_A = 600 K, T_B = 800 K, T_C = 2200 K \,and\, T_D = 1200 K$, the work done per cycle is ..... $kJ$

A$20$
B$30 $
C$40 $
D$60 $

Diffcult

STD 11 Science
NEET
STD 11 - 11. thermodynamics
Physics

Download our app
and 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.*

Download App

Similar Questions

1
A gas expands $0.25{m^3}$ at constant pressure ${10^3}N/{m^2}$, the work done is
View Solution
2
The state of an ideal gas was changed isobarically. The graph depicts three such isobaric lines. Which of the following is true about the pressures of the gas?
View Solution
3
A sample of an ideal gas undergoes an isothermal expansion. If $d Q, d U$ and $d W$ represent the amount of heat supplied, the change in internal energy and the work done respectively, then
View Solution
4
$1 \,\,kg$ of a gas does $20\,\, kJ$ of work and receives $16 \,\,kJ$ of heat when it is expanded between two states. $A$ second kind of expansion can be found between the initial and final state which requires a heat input of $9\,\, kJ$. The work done by the gas in the second expansion is ....... $kJ$
View Solution
5
For an ideal gas, in an isothermal process
View Solution
6
A diatomic ideal gas undergoes a thermodynamic change according to the $P-V$ diagram shown in the figure. The heat given the gas in $AB$
View Solution
7
For an ideal heat engine, the temperature of the source is $127\,^{\circ} C$. In order to have $60\, \%$ efficiency the temperature of the sink should be $........\,{ }^{\circ} C$. (Round off to the Nearest Integer)
View Solution
8
A thermodynamic system is taken through cyclic process. The total work done in the process is $.........\,J$
View Solution
9
Two gases have the same initial pressure, volume and temperatue. They expand to the same final volume, one adiabatically and the other isothermally, if the two gases are compressed to the same final volume
View Solution
10
The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free