The reaction was acidified, causing . . .

Countable Noun
Reaction is a countable noun. Also, it is assumed that the reader knows which reaction the writer is referring to, as in the Methods section of a paper, and thus the definite article the precedes the noun.

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The reaction was acidified, causing the release of carbon dioxide.

Countable Noun
Release is a countable noun. Also, it is assumed that the writer is referring to a specific release (the one occurring in this experiment) and thus the definite article the precedes the noun.

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Next, some carbon dioxide was evacuated from ___ flask.

Non-Countable Noun
Carbon dioxide is a non-countable noun. Either the indefinite article some or no article precedes it.

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Next, the carbon dioxide was evacuated from the flask.

Countable Noun
Flask is a countable noun. Also, it is assumed that the writer is referring to a specific flask (the one in this experiment) and thus the definite article the precedes the noun.

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Jenny poured some gels to use for electrophoresis.

Countable Noun
Gel is a countable noun. Because the noun gels is plural, the indefinite article some precedes it.

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The gels were composed of two different concentrations: 8% and 12%.

Countable Noun
The noun gel is a countable noun and has already been identified to the reader in the previous sentence. Thus, the definite article the precedes the noun.

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The 8% gels were placed in ___ cold room overnight.

Countable Noun
The noun phrase 8% gel is countable and has already been identified to the reader in the previous sentence. Thus, the definite article the precedes the noun.

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The 8% gels were placed in [a or the] cold room overnight.

Countable Noun
Cold room is a countable noun. Either a or the could precede this noun, depending on the meaning of the sentence. If the cold room is familiar to the reader, then the article the is used. If the writer means to use the word cold room generically--referring to any cold room (as in the Methods section of a paper)--then the article a is used.

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Some investigators have not yet enrolled enough patients in ___ clinical trial.

Countable Noun
The noun investigators is a countable noun. The investigators have not been identified yet for the reader. Thus, some is used instead of the before the noun.

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Some investigators have not yet enrolled enough patients in the clinical trial.

Countable Noun
The noun clinical trial is a countable noun. It is assumed that the writer is referring to a specific trial, so the article the is used before the noun.

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The tardy investigators will be notified by ___ fax.

Countable Noun
The noun investigators is a countable noun. This noun has already been referred tos in the paragraph (and thus the identity is known to the reader). The definite article the precedes the noun.

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The tardy investigators will be notified by ___ fax.

Trick Question: No Article!
Although the noun fax is a countable noun, in this example it does not require an article. For certain idiomatic expressions, like by mail, by boat, by plane, no article is used before the noun.

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