Question

Is the amount of hydrogen gas produced by carboxylic acids same as produced by sulfuric acid when they react with metals?

Answer 1

Carboxylic acids react with the more reactive metals to produce a salt and hydrogen. The reactions are just the same as with acids like hydrochloric acid, except they tend to be rather slower.
For example, dilute ethanoic acid reacts with magnesium. The magnesium reacts to produce a colourless solution of magnesium ethanoate, and hydrogen is given off. If you use magnesium ribbon, the reaction is less vigorous than the same reaction with hydrochloric acid, but with magnesium powder, both are so fast that you probably wouldn't notice much difference.
[2CH3COOH + Mg \rightarrow (CH3COO)2Mg + H2\]