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This is the metal and acid reaction to produce hydrogen gas name the type of reaction:
$Mg\left( s \right) + 2HCl \to MgC{l_2} + {H_2}\left( g \right)$
$\left( A \right)$ Rearrangement reaction
$\left( B \right)$ Combustion reaction
$\left( C \right)$ Displacement reaction
$\left( D \right)$ None of these

Answer
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Hint: The chemical reaction is a process in which reactants react to form products. There are many types of reactions like addition reaction, decomposition reaction, displacement reaction, neutralisation reaction, combustion reaction etc.

Complete step by step answer:
Now from the above reaction given we need to identify the type of reaction taking place.
$Mg\left( s \right) + 2HCl \to MgC{l_2} + {H_2}\left( g \right)$
As we can see the chlorines are shifted to magnesium from hydrochloric acid. This helps us to identify the reaction which we can call a single displacement reaction. As displacement reaction occurs when exchange of ions takes place in the reactant molecules.
So, the answer will be displacement reaction.

Hence, option C is correct.

Additional information:
There are two types of displacement reactions
Single displacement reaction: Single ion is shifting position in the reactants
Double displacement reaction: Two ions of the each reactants are exchanging positions
Other types of reactions are:
- Addition reaction: When two or more molecules join to form a larger molecule is called addition reaction. There are two types of addition reaction nucleophilic addition reaction and electrophilic addition reaction.
- Decomposition reactions: In this the opposite of addition reaction occurs means the single molecule breaks into smaller parts. Most decomposition reactions occur when the reactants experience heat, light or electricity.
- Neutralization reactions occur between acid and base which gives water and salt.
- Rearrangement reaction In this reaction the carbon skeleton rearrange themselves to provide a suitable structural isomer.

Note:
Displacement reaction occurs when one element is more reactive than second reactant. Thus due to which they exchange positions. These reactivity of the metals can be identified by the reactivity series. in which the most reactive metals are placed in the upper position and least reactive metals are placed at the bottom.