Answer:
336.8 kilo Joules is the change in internal energy of the system.
Step-by-step explanation:
The equation for first law of thermodynamics follows:
![\Delta U=Q+W](https://img.qammunity.org/2020/formulas/physics/college/l04lmqe9umlyfwyjll54vkiy0af3it9qkp.png)
where,
Q = heat added to the system
ΔU = Change in internal energy
W = work done
We have :
Amount of heat given out by the system will be negatuive as heat relased by the system = Q
Q=
![-5.00* 10^2 kJ](https://img.qammunity.org/2020/formulas/chemistry/high-school/hvn0nsblh8nofe0yfie9l81xhku57nru39.png)
Work done on the system will positive as work is done on the system:
w =
![2.00* 10^2 kCal=836.8 kJ](https://img.qammunity.org/2020/formulas/chemistry/high-school/tec6j09j2vogt19nojtt5b2ok83stk0b3l.png)
![\Delta U=-5.00* 10^2 kJ+836.8 kJ=336.8 kJ](https://img.qammunity.org/2020/formulas/chemistry/high-school/76uzj86i2ei2o6jki4it59w2a5t1dj14zo.png)
336.8 kilo Joules is the change in internal energy of the system.