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`Delta U = q+w`

Enter a value for all fields

The **Internal Energy** calculator computes the total change in internal energy of a system based on heat exchanged (**q**) and the work (**w**) done by or on the system.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**q**) Heat exchanged between a system and its surroundings - (
**w**) Work done by or on the system

**Internal Energy (ΔU):** The calculator returns the total change in **internal energy** of a system in units of (Joules). However this can be automatically converted to compatible units via the pull-down menu.

The** Internal energy ^{[1]}** equation calculates the amount of energy is absorbed or released by the system. This equation is also known as the first law of thermodynamics. The first law of thermodynamics is often called the Law of Conservation of Energy

**ΔU = q+w**

where:

**ΔU**= the total change in**internal energy**of a system**q**= the**heat**exchanged between a system and its surroundings**w**= the**work**done by or on the system^{[2]}

When work is done by the system then work will be negative and positive when work is done on to the system. When heat is negative, then it is released from the system.

**R - Gas Constant:**8.3144626181532 J/(K⋅mol)**Boyle's Law Calculator**: P_{1}• V_{1}= P_{2}• V_{2}**Charles Law Calculator**: V_{1}• T_{2}= V_{2}• T_{1}**Combined Gas Law Calculator**: P•V / T= k**Gay-Lussac Law:**T_{1}•P_{2}=T_{2}•P_{1}**Ideal Gas Law**: P•V = n•R•T**Bragg's Law:**n·λ = 2d·sinθ**Hess' Law:**ΔH^{0}_{rxn}=ΔH^{0}_{a}+ΔH^{0}_{b}+ΔH^{0}_{c}+ΔH^{0}_{d}**Internal Energy**: ΔU = q + ω**Activation Energy**: E_{a}= (R*T_{1}⋅T_{2})/(T_{1}- T_{2}) ⋅ ln(k_{1}/k_{2})**Arrhenius Equation**: k = Ae^{E_a/(RT)}**Clausius-Clapeyron Equation**: ln(P_{2}/P_{1}) = (ΔH_{vap})/R * (1/T_{1}- 1/T_{2})**Compressibility Factor**: Z = (p*V_{m})/(R*T)**Peng-Robinson Equation of State**: p = (R*T)/(V_{m}- b) - (a*α)/(V_{m}^{2}+ 2*b*V_{m}- b^{2})**Reduced Specific Volume**: v_{r}= v/(R* T_{cr }/ P_{c})**Van't Hoff Equation**: ΔH^{0}= R * ( -ln(K_{2}/K_{1}))/ (1/T_{1}- 1/T_{2})

- Internal Energy of an Ideal Gas
- Internal Energy
- Change in Internal Energy
- Work
- Ideal Gas Law
- R - Gas Constant
- Sackur-Tetrode Equation

- Khan Academy: First law of thermodynamics / internal energy
- HyperPhysics: Internal Energy
- UC Davis: Internal Energy

[1]https://en.wikipedia.org/wiki/First_law_of_thermodynamics

[2]Whitten, et al. 10th Edition. Pp.571