Given:
the internal energy of the gas is
[tex]\Delta U=3426[/tex]The work done on the gas is
[tex]W=537\text{ J}[/tex]Required: heat needed to increase the internal energy
Explanation:
from the first law of the thermodynamics
we can write,
[tex]\Delta Q=\Delta U+W[/tex]Plugging all the values in the above relation, we get
[tex]\begin{gathered} \Delta Q=3426\text{ J+537 J} \\ \Delta Q=3963\text{ J} \end{gathered}[/tex]Thus, the heat needed
[tex]3963\text{ J}[/tex]