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Question

Dilute HCl is reacted with 4.5 moles of calcium carbonate.
Calculate :
(i) The mass of 4.5 moles of CaCO3.
(ii) The volume of CO2 liberated at stp.
(iii) The mass of CaCl2 formed ?
(iv) The number of moles of the acid HCl used in the reaction [relative molecular mass of CaCO3 is 100 and of CaCl2 is 111.]

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Answer

CaCO3 + 2HCl ⟶ CaCl2 + H2O + CO2

(i) Given,

1 mole of CaCO3 = molecular mass of CaCO3 = 100 g

∴ 4.5 moles of CaCO3 weighs = 100\over 1 × 4.5 = 450 g

(ii) 1 mole of CaCO3 produces 1 mole of CO2 and 1 mole occupies 22.4 l of volume.

∴ 4.5 moles of CaCO3 will produce 4.5 moles of CO2 and 4.5 moles will occupy 22.4 × 4.5 = 100.8 l

(iii) 1 mole CaCO3 produces 111 g. CaCl2

∴ 4.5 moles of CaCO3 will produce = 111 × 4.5 = 499.5 g.

(iv)

CaCO3:HCl
1 mole:2 mole
4.5 mole:x

∴ number of moles of HCl used = 2 × 4.5 = 9 moles.

Hence, mass of CaCO3 = 450 g,

vol. of CO2 liberated = 100.8 lits.,

mass of Cl2 formed = 499.5 g,

and moles of HCl used = 9 moles.

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