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NCERT Class XI Chemistry Some Basic Concepts of Chemistry Solutions

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Question : 35 of 36
Marks: +1, -0
Calcium carbonate reacts with aqueous HCI to give CaCl2\mathrm{CaCl}_2 and CO2\mathrm{CO}_2 according to the reaction,
CaCO3(s)+2HCl(aq)\mathrm{CaCO}_{3(\mathrm{s})} + 2\mathrm{HCl}_{(\mathrm{aq})}CaCl2(aq)+CO2(g)+H2O(l)\mathrm{CaCl}_{2(\mathrm{aq})} + \mathrm{CO}_{2(\mathrm{g})} + \mathrm{H}_2\mathrm{O}_{(\mathrm{l})}.
What mass of CaCO3\mathrm{CaCO}_3 is required to react completely with 25 mL of 0.75 M HCl?
Solution:  
CaCO3(s)+2HCl(aq)\mathrm{CaCO}_{3(\mathrm{s})} + 2\mathrm{HCl}_{(\mathrm{aq})}CaCl2(aq)+CO2(g)+H2O(l)\mathrm{CaCl}_{2(\mathrm{aq})} + \mathrm{CO}_{2(\mathrm{g})} + \mathrm{H}_2\mathrm{O}_{(\mathrm{l})}
No. of moles of HCl given = MHClVHClM_{\mathrm{HCl}} V_{\mathrm{HCl}} = 0.75 mole L1L^{-1} × 25 × 10310^{-3} L
= 18.75 × 10310^{-3} mole = 0.0188 mole
2 moles of HCl requires 1 mole of CaCO3\mathrm{CaCO}_3
0.0188 mole of HCl will require = 0.01882\frac{0.0188}{2} = 0.0094 mole of CaCO3\mathrm{CaCO}_3
Molar mass of CaCO3\mathrm{CaCO}_3 = 100 g/mole
Mass of CaCO3\mathrm{CaCO}_3 required = 100 × 0.0094 = 0.94 g
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