The figure below shows a cyclic process ABCDA for $1\mathrm{.}00$ mol of an ideal gas. The gas is initially at $P_j=2\mathrm{.}00{10}^{5}Pa,V_i=2\mathrm{.}00{10}^{-3}{m}^3($point $A$ in the figure$).$

$($a$)$ What is the net work done on the gas during the cycle? $($Include the sign of the value in your answer.$)$

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$($b$)$ What is the net amount of energy added by heat to this gas during the cycle? $($Include the sign of the value in your answer.$)$

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J