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Question

4 moles of calcium carbonate react with 7 moles of aqueous HCl to give CaCl2 and CO2 according to the given reaction:
CaCO3(s)+2HCl(aq) CaCl2(aq)+CO2(g)+H2O(l)

Calculate the mass of CaCl2 produced in the reaction.
(atomic weight: Ca = 40 u, C = 12 u, 0 = 16 u, Cl = 35.5 u)

A
388.50 g
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B
522.20 g
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C
222.50 g
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D
443.25 g
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Solution

The correct option is A 388.50 g
According to the reaction,
1 mole of CaCO3 reacts with 2 moles of HCl.
So, 4 moles of CaCO3 will react with 8 moles of HCl. Since we have 7 moles of HCl, HCl will be the limiting reagent.

2 moles of HCl produce 1 mole of CaCl2.
Thus, 7 moles of HCl will produce 3.5 moles of CaCl2.
Molar mass of CaCl2=40+35.5×2=111 g/mol
mass of CaCl2 produced,
= 111 g/mol×3.5 mol
=388.5 g

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