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The phrase "at a given temperature" is correct and usable in written English.
It can be used in scientific or technical contexts to specify conditions under which a particular observation or measurement is made.
Example: "The solubility of the salt increases at a given temperature, allowing for more efficient crystallization."
Alternatives: "at a specific temperature" or "under certain temperature conditions".
Exact(59)
It is less dense than air at a given temperature and pressure.
On the other hand, an increase in pressure at a given temperature would favour the formation of sI hydrate20.
However, second, the fraction unfrozen at a given temperature is dependent on the initial solute concentration.
The more moisture and food the bacteria have available, the faster they can grow at a given temperature.
Relative humidity is the percent saturation of air relative to its total saturation possible at a given temperature.
At a given temperature a balance between repulsive and attractive molecular forces determines liquid density.
The rate of crystallization was increased with increasing shear rate at a given temperature.
At a given temperature, polymer dilation increased with pressure and CO2 content.
Impurities increased the rate of sintering at a given temperature and reduced the activation energy.
The cure profile at a given temperature was predicted using the kinetic parameters.
At a given temperature, the three-phase regions disappear with increasing pressure.
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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