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Some Basic Concepts Of Chemistry

Question
CBSEENCH11005092

Zinc and hydrochloric acid react according to the reaction:

Zn left parenthesis straight s right parenthesis plus 2 HCl left parenthesis aq right parenthesis space rightwards arrow space space space ZnCl subscript 2 left parenthesis aq right parenthesis plus space straight H subscript 2 left parenthesis straight g right parenthesis

If 0.30 mol Zn are added to hydrochloric acid containing 0.52 mol HCl, how many moles of H2 are produced?

Solution
The reaction is
stack Zn left parenthesis straight s right parenthesis with 1 space mol below space plus space stack 2 HCl left parenthesis aq right parenthesis with 2 space mol below space space space rightwards arrow space space space space stack ZnCl subscript 2 with 1 space mol below left parenthesis aq right parenthesis space plus straight H subscript 2 left parenthesis straight g right parenthesis
Stoichiometry shows that
2 mol of HCl need 1 mol Zn
therefore  0.52 mol HCl needs  equals space 1 half cross times 0.52 space mol
                                    equals space 0.26 space mol space Zn.
But moles of Zn acutally present = 0.52 mol. 
Therefore, Zn is in excess and HCl is the limiting reagent.
Now 2 mol HCl forms H2 = 1 mol
therefore 0.52 mol HCl forms H21 half cross times 0.52 space equals space 0.26 space mol