How many milliliters of 0.383 M HCI are needed to react

Chapter 3, Problem 74P

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QUESTION:

How many milliliters of \(0.383 M\) HCl are needed to react with \(16.2 g\) of \(\mathrm{CaCO}_{3}\)?

\(2 \mathrm{HCl}(\mathrm{aq})+\mathrm{CaCO}_{3}(\mathrm{~s}) \rightarrow \mathrm{CaCl}_{2}(\mathrm{aq})+\mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l})\)

Equation Transcription:

CaCO3

2HCl(aq) + CaCO3(s)  CaCl2(aq) + CO2(g) + H2O(l)

Text Transcription:

0.383 M

16.2 g

CaCO_3

2HCl(aq) + CaCO_3(s)  rightarrow CaCl_2(aq) + CO_2(g) + H_2O(l)

Questions & Answers

QUESTION:

How many milliliters of \(0.383 M\) HCl are needed to react with \(16.2 g\) of \(\mathrm{CaCO}_{3}\)?

\(2 \mathrm{HCl}(\mathrm{aq})+\mathrm{CaCO}_{3}(\mathrm{~s}) \rightarrow \mathrm{CaCl}_{2}(\mathrm{aq})+\mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l})\)

Equation Transcription:

CaCO3

2HCl(aq) + CaCO3(s)  CaCl2(aq) + CO2(g) + H2O(l)

Text Transcription:

0.383 M

16.2 g

CaCO_3

2HCl(aq) + CaCO_3(s)  rightarrow CaCl_2(aq) + CO_2(g) + H_2O(l)

ANSWER:

Solution 74P

Here, we have to calculate the millilitres of 0.383 M HCl are needed to react with 16.2 g of CaCO3.

Step 1 of 2

The given chemical reaction

2HCl (aq) + CaCO3(s)  CaCl2(aq) + CO2(g) + H2O (l).

First let’s convert the grams of CaCO3 into moles.

Given

Mass of CaCO3 = 16.2 gm.

Molar mass of CaCO3= 100.09 g

Moles of CaCO3 = Given mass of CaCO3

                           = 16.2 gm 

                           = 0.161854 mol of CaCO3

Therefore, moles of CaCO3 is 0.161854 mol.

Let’s convert the moles of CaCO3 into moles of HCl

Moles of HCl = moles  of CaCO3

                     =  0.161854 mol of CaCO3

                     = 0.323708 mol of HCl

Therefore, moles of HCl is 0.323708 mol.

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