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The acidity of a substance is measured by its pKa. A given acid will give up its proton to the base of an acid with a higher pKa value. The base of a given acid with deprotonate an acid with a lower pKa value.

The pKa of water is 15.74
The pKa of ammonia is 34
The pKa of acetylene is 25

What this means is that acetylene will not act as an acid in water and there will be essentially no dissociation of the hydrogen ion (the concentration of HCC- is essentially zero). This means that acetylene can dissociate in ammonia, but only to a small extent. Acetylene is considered a weak acid in ammonia.

See the Web Link for a very good explanation of this (with a direct comparison of water, ammonia, and acetylene). It is a pdf file.

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