Answer : The value of [tex]\Delta E[/tex] for this process is, -34 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 rejected to the surrounding = -84 J
w = work done = +50 J
Now put all the given values in the above expression, we get:
[tex]\Delta E=(-84J)+(+50J)[/tex]
[tex]\Delta E=-34J[/tex]
Therefore, the value of [tex]\Delta E[/tex] for this process is, -34 J