Question #49493

In the following reaction, how many grams of calcium hydroxide, Ca(OH)2, will be needed to react with 75.1 g of hydrochloric acid, HCl?

Expert's answer

Answer on Question #49493 - Chemistry - Other

Question

In the following reaction, how many grams of calcium hydroxide, Ca(OH)2\mathrm{Ca(OH)}_2, will be needed to react with 75.1 g75.1\ \mathrm{g} of hydrochloric acid, HCl?

Answer:

Reaction between calcium hydroxide and hydrochloric acid:


Ca(OH)2+2HCl=CaCl2+2H2O\mathrm{Ca(OH)}_2 + 2\mathrm{HCl} = \mathrm{CaCl}_2 + 2\mathrm{H}_2\mathrm{O}


Number of moles of HCl is:


n=mM=75.136.5=2.06 molesn = \frac{m}{M} = \frac{75.1}{36.5} = 2.06\ \mathrm{moles}


According to the reaction, 2 moles of HCl react with 1 mole of Ca(OH)2\mathrm{Ca(OH)}_2, therefore, 2.06 moles of HCl react with 1.03 moles of Ca(OH)2\mathrm{Ca(OH)}_2.

Then the mass of calcium hydroxide needed is:


m(Ca(OH)2)=nM=1.0374=76.22 g\mathrm{m}(\mathrm{Ca(OH)}_2) = \mathrm{nM} = 1.03 \cdot 74 = 76.22\ \mathrm{g}

Answer: 76.22 g

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