yes, but only after prolonged exposure. base on glass for about 5-10 minutes hardly affects it...depending on the strength of the base (pKb). Just rinse off with TAP water, not DI, as tap rinsed base off much faster. THEN, if you need to, you can final rinse with DI.
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Of course, HCl is also available as Muriatic in hardware stores. It is very strong, however, so be careful. Typical Muriatic is about 10 Molar (also 10 Normal), or about 80% of full concentrate.