An ideal monoatomic gas is taken around the cycle $ABCDA$ as shown in the $P-V$ diagram. The work done during the cycle is

  • A
    $-P_0V_0$
  • B
    $2P_0V_0$
  • C
    $-2P_0V_0$
  • D
    $6P_0V_0$

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

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An ideal gas undergoes a change in its state from the initial state $I$ to the final state $F$ via two possible paths as shown below. Then,

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