Determine the number of moles of calcium carbonate with 10% impurities, which reacts with 21.9 g of hydrochloric acid.

Respuesta :

Answer: 0.297 moles of calcium carbonate.

Solution:

Number of moles of HCl =[tex]\frac{\text{given mass}}{\text{molecular mass}}=\frac{21.9 g}{36.5 g/mol}=0.6[/tex] moles

[tex]CaCO_3+2HCl\rightarrow CaCl_2+H_2O+CO_2[/tex]

According to reaction

Two moles of HCl are reacting with one mole of [tex]CaCO_3[/tex], then 0.6 moles of HCl will react with:

=[tex]\frac{1}{2}\times 0.6\text{moles of}CaCO_3[/tex]

Moles of calcium carbonate reacted = 0.3 moles

In 0.3 moles of calcium carbonate 10% impurities is present i.e.

[tex]=0.3\times \frac{10}{100}=0.03 mol[/tex] of impurity.

Actual number of moles of calcium carbonate reacted = 0.3 - 0.003 = 0.297 moles.