An ideal gas is taken around the cycle $ABCA$ as shown in the $P-V$ diagram. The net work done by the gas during the cycle is equal to

  • A
    $12\,{P_1}{V_1}$
  • B
    $6\,{P_1}{V_1}$
  • C
    $3\,{P_1}{V_1}$
  • D
    $2{P_1}{V_1}$

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Similar Questions

In the given $P-V$ diagram,the initial state of an ideal gas is represented by point $a$ and the final state by point $e$. The gas moves from state $a$ to state $e$ along paths $(i) abe, (ii) ace, (iii) ade$. The heat absorbed by the gas will be:

$A$ system goes from $P$ to $Q$ by two different paths in the $P-V$ diagram as shown in the figure. Heat given to the system in path $1$ is $1000 \, J$. The work done by the system along path $1$ is more than path $2$ by $100 \, J$. What is the heat exchanged by the system in path $2$?

$A$ thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are:
$P_A = 3 \times 10^4 \, Pa, \, P_B = 8 \times 10^4 \, Pa$ and $V_A = 2 \times 10^{-3} \, m^3, \, V_D = 5 \times 10^{-3} \, m^3$
In process $AB$,$600 \, J$ of heat is added to the system and in process $BC$,$200 \, J$ of heat is added to the system. The change in internal energy of the system in process $AC$ would be ...... $J$.

An ideal gas undergoes the cyclic process $abca$ as shown in the given $P-V$ diagram. It rejects $50 \,J$ of heat during $ab$ and absorbs $80 \,J$ of heat during $ca$. During $bc$, there is no transfer of heat and $40 \,J$ of work is done by the gas. What should be the area of the closed curve $abca$ (in $\,J$)?

The adjoining figure shows the $P-V$ diagram for a fixed mass of an ideal gas undergoing a cyclic process. $AB$ represents an isothermal process and $CA$ represents an isochoric process. Which of the graphs shown in the following figures represents the $P-T$ diagram of the cyclic process?

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