An ideal gas is subjected to a cyclic process involving four thermodynamic states. The amounts of heat $(Q)$ and work $(W)$ involved in each of these states are:
$Q_1 = 6000 \ J, Q_2 = -5500 \ J, Q_3 = -3000 \ J, Q_4 = 3500 \ J$
$W_1 = 2500 \ J, W_2 = -1000 \ J, W_3 = -1200 \ J, W_4 = x \ J$
The ratio of the net work done by the gas to the total heat absorbed by the gas is $\eta$. The values of $x$ and $\eta$ respectively are:

  • A
    $500; 7.5 \%$
  • B
    $700; 10.5 \%$
  • C
    $1000; 21 \%$
  • D
    $1500; 15 \%$

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List-$I$ List-$II$
$(a)$ Isothermal $(i)$ Pressure constant
$(b)$ Isochoric $(ii)$ Temperature constant
$(c)$ Adiabatic $(iii)$ Volume constant
$(d)$ Isobaric $(iv)$ Heat content is constant

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