The pressure versus temperature $(P-T)$ graph of an ideal gas is shown in the figure.

  • A
    During the process $AB$,the work done by the gas is positive.
  • B
    During the process $CD$,the work done by the gas is negative.
  • C
    During the process $BC$,the internal energy of the gas is increasing.
  • D
    None of these.

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$A$ thermodynamic process is shown in the figure. The pressure and volume at the points shown in the figure are as follows:
$P_A = 3 \times 10^{4} \text{ Pa}, V_A = 2 \times 10^{-3} \text{ m}^3, P_B = 8 \times 10^{4} \text{ Pa}, V_D = 5 \times 10^{-3} \text{ m}^3.$
In process $AB$, $600 \text{ J}$ of heat is added to the system, and in process $BC$, $200 \text{ J}$ of heat is added. The change in internal energy during the process $AC$ is: (in $\text{ J}$)

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$A$ gas in a closed container undergoes the cycle $ABCA$ as shown in the figure. The net heat absorbed by the gas after it has completed $10$ cycles is

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