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The phrase "universal gas constant" is correct and can be used in written English.
It is a physical constant in thermodynamics related to the ideal gas laws. For example: "The ideal gas law depends on the universal gas constant, which is equal to 8.3144598 J·K−1·mol−1."
Exact(60)
Also on the right is the universal gas constant (R), equal to 8.3145 joules per mole kelvin.
Here p is the pressure, v is the volume per mole, or molar volume, R is the universal gas constant, and T is the absolute thermodynamic temperature.
The equation of state of n gram-moles of a perfect gas can then be written as pv/t = nR, in which R is called the universal gas constant.
= Universal gas constant.
universal gas constant (J/mol K).
where R is universal gas constant.
Universal gas constant (dm3 MPa/mol/K).
R is the universal gas constant.
Universal gas constant (8.314 J/K mol).
Universal gas constant (=8.314 J/mol/K).
R = universal gas constant (8.314 J/mol/K).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com