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How many formula units of sodium nitrate will react with 25.0g of calcium carbonate to produce sodium carbonate and calcium nitrate

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Complete Question:

How many formula units of sodium nitrate will react with 25.0 g of calcium carbonate to  product sodium carbonate and calcium nitrate according to the following reactions?  

2 Na(NO3) + Ca(CO3) → Na2(CO3) + Ca(NO3)2

Answer:

[tex]3.011 \times 10^{23}[/tex] formula units of sodium nitrate will react with 25.0 g of calcium carbonate to produce sodium carbonate and calcium nitrate according to the equation.

Explanation:

Given chemical equation:

         [tex]2 \mathrm{Na}\left(\mathrm{NO}_{3}\right)+\mathrm{Ca}\left(\mathrm{CO}_{3}\right) \rightarrow \mathrm{Na}_{2}\left(\mathrm{CO}_{3}\right)+\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}[/tex]

Given mass of calcium carbonate = 25 g

We need to determine the number of formula units of sodium nitrate that will react with 25 g of calcium carbonate.

Step 1: To calculate the number of moles of Calcium carbonate

Number of mole is the ratio of mass to the molar mass, given as

[tex]number\ of\ moles\ of\ Calcium\ carbonate =\frac{\text { mass }}{\text { molar mass of calcium carbonate }}[/tex]

molar mass of calcium carbonate = 100.0869 g / mol

[tex]\text {number of moles of Calcium carbonate}=\frac{25}{100.0869}=0.25 \text { moles }[/tex]

Step 2: Moles of Sodium nitrate that reacted

From the equation, 2 moles of NaNO₃ reacts with 1 mole of CaCO₃

Thus, the mole ratio of NaNO₃ to CaCO₃ is 2 : 1

Therefore; Number of moles of NaNO₃ = Moles of CaCO₃ × 2

                  Number of moles of NaNO₃ = 0.25 × 2 = 0.5 moles

Step 3: Calculate formula units of NaNO₃

We need to know that 1 mole of a compound contains formula units equivalent to the Avogadro's constant.

     1 mole of a compound contains [tex]6.022 \times 10^{23}[/tex] formula units

Therefore; 0.5 moles of NaNO₃ will have;

             = 0.5 × [tex]6.022 \times 10^{23}[/tex] formula units

            = 3.011 [tex]\times 10^{23}[/tex] formula units