Calculate the volume in ) of 0.100 M Na2CO3 needed to produce 1.00 g of CaCO 3 (s) . There is an excess of CaCl 2. What’s the volume of sodium carbonate?

Answer:
100 mL of Na2CO3
Explanation:
We'll begin by calculating the number of mole in 1 g of CaCO3. This can be obtained as follow:
Mass of CaCO3 = 1 g
Molar mass of CaCO3 = 100.09 g/mol
Mole of CaCO3 =?
Mole = mass /Molar mass
Mole of CaCO3 = 1/100.09
Mole of CaCO3 = 0.01 mole
Next, we shall determine the number of mole of Na2CO3 needed to produce 0.01 mole of CaCO3.
This is illustrated below:
Na2CO3 + CaCl2 —> 2NaCl + CaCO3
From the balanced equation above,
1 mole of Na2CO3 reacted to produce 1 mole of CaCO3.
Therefore, 0.01 mole of Na2CO3 will also react to produce 0.01 mole of CaCO3.
Next, we shall determine the volume of Na2CO3 needed for the reaction as illustrated below:
Mole of Na2CO3 = 0.01 mole
Molarity of Na2CO3 = 0.1 M
Volume of Na2CO3 solution needed =?
Molarity = mole /Volume
0.1 = 0.01 / volume of Na2CO3
Cross multiply
0.1 × volume of Na2CO3 = 0.01
Divide both side by 0.1
Volume of Na2CO3 = 0.01 / 0.1
Volume of Na2CO3 = 0.1 L
Finally, we shall convert 0.1 L to millilitres (mL). This can be obtained as follow:
1 L = 1000 mL
Therefore,
0.1 L = 0.1 L × 1000 mL / 1 L
0.1 L = 100 mL
Thus, 0.1 L is equivalent to 100 mL.
Therefore, 100 mL of Na2CO3 is needed for the reaction.
The volume of sodium carbonate used in the given reaction is 0.1 liter or 100mL.
Volume of the solution will be calculated by using the molarity as:
M = n/V, where
n is the moles of solute and this can be calculated as:
n = W/M , where
W = given or required mass
M = molar mass
Given chemical reaction is:
Na₂CO₃ + CaCl₂ → CaCO₃ + 2NaCl
Moles of 1g of CaCO₃ = 1g/100g/mole = 0.01 moles
From the stoichiometry of the reaction, it is clear that same moles of CaCO₃ produced by same moles of used Na₂CO₃.
0.01 moles of CaCO₃ = produced by 0.01 moles of Na₂CO₃
Now we calculate the volume of 0.01 moles and 0.100M of Na₂CO₃ as:
V = n/M
V= 0.01/0.100 = 0.1L or 100mL
Hence 0.1 L is the required volume.
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