Answer :
Answer : The value of [tex]\Delta E[/tex] for the system is -77880 J
Explanation :
First law of thermodynamic : It states that the energy can not be created or destroyed, it can only change or transfer from one state to another state.
As per first law of thermodynamic,
[tex]\Delta E=q+w[/tex]
where,
[tex]\Delta E[/tex] = internal energy of the system
q = heat absorbed by the system
w = work done by the system
As we are given that:
q = 120 J
w = -78 kJ = -78000 J (1 kJ = 1000 J) (system work done by system)
Now put all the given values in the above expression, we get:
[tex]\Delta E=120J+(-78000J)[/tex]
[tex]\Delta E=-77880J[/tex]
Therefore, the value of [tex]\Delta E[/tex] for the system is -77880 J