Answer:
Number of cases where internal energy of system decreases = 1
Explanation:
According to first law of thermodynamics-
[tex]\Delta U=q+w[/tex]
where, [tex]\Delta U[/tex], q and w represents change in internal energy, heat exchanged and work done respectively.
- When heat is absorbed (q > 0), [tex]\Delta U[/tex] will also increase.
- When q = 30 J and w = 44 J, [tex]\Delta U[/tex] = (30+44) J = 74 J (positive). So, internal energy of system increases.
- When q = 0 and system does work on its surroundings (w < 0), [tex]\Delta U[/tex] < 0 (negative). So, internal energy of system decreases.
- When work id done on system (w > 0) and heat is withdrawn (q < 0) by an equal amount (w = -q), [tex]\Delta U=0[/tex]. So, internal energy does not change.
So, number of cases where internal energy of system decreases = 1