What mass of calcium chloride (in grams) will be produced from 1.61 mol of hydrochloric acid?

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

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Calcium chloride has the chemical formula `CaCl_2` . When calcium chloride is produced using hydrochloric acid, the chloride ions of calcium chloride are provided by the acid.

Hydrochloric acid has a chemical formula of HCl. 1.61 moles of hydrochloric acid has 1.61 moles of chlorine atoms.

If all the chlorine atoms in hydrochloric acid are used in the production of calcium chloride, 1.61/2 = 0.805 moles of calcium chloride is obtained. The molar mass of calcium chloride is 110.98.

The mass of 0.805 moles of calcium chloride is 89.3389.

When calcium chloride is produced from 1.61 mole of hydrochloric acid, 89.3389 g of calcium chloride is obtained.

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madscientist7's profile pic

madscientist7 | High School Teacher | (Level 1) Adjunct Educator

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First, you have to determine the chemical reaction that is occurring.  You know that hydrochloric acid is going to react to form calcium chloride, and since hydrochloric acid is an acid and calcium chloride a salt, then this reaction is going to be a neutralization reaction.  So, the balanced reaction is as follows:

Ca(OH)2 +2 HCl   è  2H2O + CaCl2 

Now, you have to track the units to convert beginning mole amount for HCl to gram amount of CaCl2.  You must be able to track your steps of your stoichiometric calculation:

  1. To convert between elements of the reaction, you must be in the unit mole.  Since the beginning unit is already in moles, the conversion between compounds can occur using the mole ratio.  So to go from mol HCl to mol CaCl2 you must use 2 mol HCl : 1 mol CaCl2.
  2. You need to get to grams of CaCl2 from mole of CaCl2.  To do this, you must use the molar mass of the compound (grams/mol).  So for CaCl2 is 40g/mol + 35.5g/mol *2 = 111g/mol

1.61 mol HCl X 1 mol CaCl2 X 111g CaCl2 =(1.61 X 1 X 111) = 89.4 g CaCl2

   (divide line)    2 mol HCl       1 mol CaCl2          (2 X 1)

So to answer your question 1.61 mol HCl would produce 89.4 g CaCl2.

mmenon's profile pic

mmenon | Student, Grade 12 | (Level 3) eNoter

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The chemical formula for Calcium chloride and hydrochloric acid is CaCl2 and HCl respectively. 

`HCl->H^(+) + Cl^(-)`

`CaCl2->Ca^(2+) + 2Cl^(-)`

Number moles of hydrochloric acid = number of moles of chlorine =1.61 moles. The number of moles of Cl2, therefore, is 1.61/2=0.805 moles(from the equation we can see that Cl and CaCl2 has a 2 to 1 ratio).

We get the number of moles of CaCl2 to be 0.805 moles.
The molar mass of CaCl2 is 110.98 g/mol

Using the number of moles we have found and the molar mass of CaCl2 (which you can calculate using the periodic table), we can find the mass of CaCl2 produced from HCl.

number of moles CaCl2 =mass of CaCl2/Molar mass of Cal2

Therefore, the mass of CaCl2= number of moles of CaCl2 x Molar mass of CaCl2

mass of CaCl2 produced= 0.805 x 110.98 =89.3 g( 3 significant figures)

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