at the initial concentration vs with the initial concentration

Both phrases are correct, but they are used in different contexts. 'At the initial concentration' is used when referring to a specific point in time or a specific value of concentration. 'With the initial concentration' is used when describing a condition or situation that includes the initial concentration.

Last updated: March 27, 2024 • 652 views

This phrase is correct and commonly used when referring to a specific point in time or value of concentration.

"at the initial concentration"

This phrase is used to indicate a specific moment or value of concentration at the beginning of a process or experiment.

Examples:

The reaction rate at the initial concentration was measured.
The color change at the initial concentration was very subtle.

Show examples from the web [+]

To avoid an unnecessary use of animals, a test run without animals should be conducted prior to testing at the initial concentration to ensure that the chamber conditions for this concentration can be achieved.
If mortality or moribundity is observed at the initial concentration, the results at this concentration can serve as a starting point for further testing at other concentrations (see main study).
The analytical method should be sufficiently sensitive to quantify test substance concentrations down to 10 % or less of the initial concentration.
The analytical method must be sufficiently precise and sensitive to detect a reduction of 10 % in the initial concentration.
Make up the volumes in all flasks to 1 l with mineral medium and, after mixing, take a sample from each flask to determine the initial concentration of DOC (see Annex II.).
Make up the volumes in all flasks to 11 with mineral medium and, after mixing, take a sample from each flask to de.termine the initial concentration of DOC (see Appendix 2.4).
Make up the volumes in all flasks to 1 litre with mineral medium and, after mixing, take a sample from each flask to determine the initial concentration of DOC (see Appendix 2.4).
A mass balance should be given in percentage of the applied initial concentration for each sampling interval.
The initial concentration (Exposure Session I) (Appendix 1) will either be a limit concentration or a concentration selected by the study director based on the sighting study.
The concentration of the test substance shall be maintained to within 80 % of the initial concentration throughout the duration of the test.
The concentrations of the test substance shall be maintained to within 80 % of the initial concentrations throughout the duration of the test.
contributes less than 10 % of the initial concentration of organic carbon introduced by the test chemical;
In the semi-continuous test, every two weeks, about one third of the volume of the test suspension is replaced by freshly collected water with the test substance added to the initial concentration.
Sediment is likewise added to the replacement water to the initial concentration (between 0,01 and 1 g/l), if the optional suspended sediment test is performed.
DT50 (Disappearance Time 50): is the time within which the initial concentration of the test substance is reduced by 50 %.
DT75 (Disappearance Time 75): is the time within which the initial concentration of the test substance is reduced by 75 %.
A prediction of the time needed to reduce the body burden to some percentage of the initial concentration may also be obtained from the general equation describing uptake and depuration (first order kinetics) (1) (8).
The method is not reliable at initial concentration of
Initial Concentration: C × t protocol
Initial concentration in medium, to: ... mg/1 as chemical

Alternatives:

at the beginning concentration
at the starting concentration
at the initial level of concentration
at the concentration at the start
at the concentration at the beginning

This phrase is correct and commonly used when describing a condition or situation that includes the initial concentration.

"with the initial concentration"

This phrase is used to describe a situation or condition that involves the initial concentration as a component.

Examples:

The solution with the initial concentration was prepared.
The system with the initial concentration showed interesting behavior.

Show examples from the web [+]

The analytical method should be sufficiently sensitive to quantify test substance concentrations down to 10 % or less of the initial concentration.
The analytical method must be sufficiently precise and sensitive to detect a reduction of 10 % in the initial concentration.
Make up the volumes in all flasks to 1 l with mineral medium and, after mixing, take a sample from each flask to determine the initial concentration of DOC (see Annex II.).
Make up the volumes in all flasks to 11 with mineral medium and, after mixing, take a sample from each flask to de.termine the initial concentration of DOC (see Appendix 2.4).
Make up the volumes in all flasks to 1 litre with mineral medium and, after mixing, take a sample from each flask to determine the initial concentration of DOC (see Appendix 2.4).
A mass balance should be given in percentage of the applied initial concentration for each sampling interval.
The initial concentration (Exposure Session I) (Appendix 1) will either be a limit concentration or a concentration selected by the study director based on the sighting study.
The concentration of the test substance shall be maintained to within 80 % of the initial concentration throughout the duration of the test.
The concentrations of the test substance shall be maintained to within 80 % of the initial concentrations throughout the duration of the test.
contributes less than 10 % of the initial concentration of organic carbon introduced by the test chemical;
In the semi-continuous test, every two weeks, about one third of the volume of the test suspension is replaced by freshly collected water with the test substance added to the initial concentration.
Sediment is likewise added to the replacement water to the initial concentration (between 0,01 and 1 g/l), if the optional suspended sediment test is performed.
DT50 (Disappearance Time 50): is the time within which the initial concentration of the test substance is reduced by 50 %.
DT75 (Disappearance Time 75): is the time within which the initial concentration of the test substance is reduced by 75 %.
A prediction of the time needed to reduce the body burden to some percentage of the initial concentration may also be obtained from the general equation describing uptake and depuration (first order kinetics) (1) (8).
The method is not reliable at initial concentration of
Initial Concentration: C × t protocol
Initial concentration in medium, to: ... mg/1 as chemical
Initial concentration in medium, Co: ... mg/litre
Initial concentration in bottle: ... mg/litre

Alternatives:

containing the initial concentration
having the initial concentration
including the initial concentration
featuring the initial concentration
comprising the initial concentration

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at the initial concentration vs with the initial concentration