Calculator · Thermal Engineering

Closed-System First Law

A fixed mass exchanges heat and work with its surroundings: ΔU = Q − W. Supply two of the three to solve the third, or all three to check that they balance. Heat into the system is positive; work done by the system is positive.

Inputs

ΔU = Q − W. Q > 0 is heat added to the system; W > 0 is boundary work done by the system on its surroundings, so a compression has W < 0.

Results

ΔU

60 kJ
ΔU60 kJ
Q (into the system)100 kJ
W (by the system)40 kJ
Heat directioninto the system
Work directiondone by the system

Assumptions

  • · closed system
  • · Q > 0 into the system
  • · W > 0 done by the system

Technical reference

ΔU = Q − W

Q = ΔU + W, W = Q − ΔU

ΔU
change in internal energy[J]
Q
heat added to the system[J]
W
work done by the system[J]

Kinetic and potential energy of the system as a whole are not included.

Zero heat or zero work is valid; three values that do not balance are refused, not averaged.

Related tools