How many milliliters of 0.300 M nitric acid are required to react completely with 3.25 g of calcium carbonate?
2 HNO3(aq) + CaCO3(s) H2O(l) + CO2(g) + Ca(NO3)2(aq)

A. 216
B. 32.5
C. 0.216
D. 108
E. 1950

Respuesta :

Answer:

Hence, correct answer is option A.

Explanation:

Mass of calcium carbonate = 3.25 g

Moles of calcium carbonate =[tex]\frac{3.25 g}{100 g/mol}=0.0325 mol[/tex]

[tex]2 HNO_3(aq) + CaCO_3(s)\rightarrow H_2O(l) + CO_2(g) + Ca(NO_3)_2(aq)[/tex]

According to reaction, 1 mole of calcium carbonate reacts with 2 moles of nitric acid then 0.0325 moles of calcium carbonate will react with :

[tex]\frac{2}{1}\times 0.0325 mol=0.0650 mol[/tex]

Moles of nitric acid = 0.0650 mol

Volume of the nitric acid solution = V

Molarity of the nitric solution = 0.300 M

[tex]Molarity=\frac{Moles}{Volume (L)}[/tex]

[tex]0.300 M=\frac{0.0650 M}{V}[/tex]

[tex]V=\frac{0.0650 mol}{0.300 M}=0.216 L[/tex]

1 L = 1000 mL

0.216 L = 0.216 × 1000 mL = 216 mL

Hence, correct answer is option A.