Change in the Gas Internal Energy Calculator

The Change in the Gas Internal Energy Calculator will calculate the:

Change in the internal energy of gas inside a cylinder when the First Law of Thermodynamics is applied

Change in the Gas Internal Energy Calculator
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Calculator Precision (Decimal Places)
Mass of piston (m) kg
Initial height of piston (y₀) m
Final height of piston (y) m
Gravitational field strength (g) m/s²
Heat supplied to or given off by the system (Q) J

Change in the Gas Internal Energy Calculator Results (detailed calculations and formula below)

The change in the internal energy of gas inside a cylinder is J
∆U = Q - m × g × (y - y₀) ∆U = - × × ( - ) ∆U = - × × ∆U =
Change In The Gas Internal Energy Calculator Input Values
Mass of piston (m) = kg
Initial height of piston (y₀) =
Final height of piston (y) = m
Gravitational field strength (g) = m/s²
Heat supplied to or given off by the system (Q) = J

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each change in the gas internal energy calculation, the Change In The Gas Internal Energy Calculator will automatically calculate the results and update the Physics formula elements with each element of the change in the gas internal energy calculation. You can then email or print this change in the gas internal energy calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Change In The Gas Internal Energy. This image shows the properties and change in the gas internal energy formula for the Change In The Gas Internal Energy. The Change in the Gas Internal Energy Calculator will calculate the change in the internal energy of gas inside a cylinder when the First Law of Thermodynamics is applied.

Change in the internal energy of gas Formula and Calculation

∆U = Q - m × g × (y - y₀)

The change in the internal energy of gas formula derives from the mathematical expression of the First Law of Thermodynamics.

∆U = Q - W_{by the system}

You must consider the following factors when using the First Law of Thermodynamics:

ΔU is positive if the internal energy increases. (Temperature increases).
ΔU is negative if the internal energy decreases. (Temperature decreases).
Q is positive if heat is added to the system.
Q is negative if heat flows out of the system.
W_{by the system} is positive when work is done by the gas to lift the piston.
W_{by the system} is negative when work is done on the gas, which results in a decrease in the volume.

Thermodynamics Physics Tutorials associated with the Change In The Gas Internal Energy Calculator

The following Physics tutorials are provided within the Thermodynamics section of our Free Physics Tutorials. Each Thermodynamics tutorial includes detailed Thermodynamics formula and example of how to calculate and resolve specific Thermodynamics questions and problems. At the end of each Thermodynamics tutorial you will find Thermodynamics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Thermodynamics and test your knowledge of Physics by answering the test questions on Thermodynamics.

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