Is there any reaction between solid/ liquid elements/compounds at room temperature that produces gases??
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Yes, there are many. One you can make in your kitchen is to mix baking soda and vinegar; it makes carbon dioxide gas.
There is an incredible amount of such reactions. Consider the equation from thermodynamics,
ΔG = ΔH - TΔS
ΔG is change in Free Energy
ΔH is change in Enthalpy
T is Temperature and
ΔS is change in Entropy.
It is known that a reaction is spontaneous and favorable if ΔG is negative. We therefore see that a reaction that increases entropy (ΔS > 0) will be more likely to be favorable. Although not quite technically correct, Entropy can be thought of as a measure of disorder. Therefore, if a reaction results in products that are more chaotic than the reactants, it will be more likely to be favored.
A reaction of solids, liquids, or both that produce a gas will increase the entropy of the system. This is because gasses are much more chaotic and unordered than solids or liquids. Therefore, there will be not just many, but an unfathomably large number of reactions that will take place at room temperature that will spontaneously occur.
And if the reaction results in a release of heat (ΔH < 0), then it is guaranteed to occur at any temperature if it produces gas in this way.
Some examples include explosives, in which much gas is produced at incredible rates. Acid-metal reactions produce Hydrogen gas as well.