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Balancing chemical equations

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I have to show my work for this question and I’m not sure if this is the correct way to do it

 

H2(g) + CI2(g) —> 2HCI(g)
The balanced equation is H2 + CI2 —> 2HCI
There are two hydrogen (H) atoms on the reactants side and two chlorine (CI) atoms on the reactants side. Two hydrogen (H) atoms and two chlorine (CI) atoms are produced. To balance them, we put a coefficient of 2 in front of the product hydrogen chloride (HCI).

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