The correct option is A Increases by 10 kJ
According to the first law of thermodynamics,
ΔU=q+W
Where, ΔU = change in internal energy.
Since,
The heat absorbed by the system is q=20 kJ
The work done by the system is W=−10 kJ
∴,ΔU=20−10 kJ=10 kJ
So, the net internal energy of the system increases by 10 kJ