Answer:
Mass % of the solution = 7.1067 %
Explanation:
Given :
Molarity of nitric acid solution = 1.85 M
Density of the solution = 1.64 g/mL
<u>Molarity of a solution is defined as the number of moles of solute present in 1 liter of the solution.</u>
![Molarity=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}](https://tex.z-dn.net/?f=Molarity%3D%5Cfrac%7BMoles%5C%20of%5C%20solute%7D%7BVolume%5C%20of%5C%20the%5C%20solution%7D)
Lets, consider the volume of the solution = 1 L
Thus,
Moles of nitric acid present in the solution:
![Molarity=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}](https://tex.z-dn.net/?f=Molarity%3D%5Cfrac%7BMoles%5C%20of%5C%20solute%7D%7BVolume%5C%20of%5C%20the%5C%20solution%7D)
![Moles of Nitric acid=Molarity \times {Volume\ of\ the\ solution}](https://tex.z-dn.net/?f=Moles%20of%20Nitric%20acid%3DMolarity%20%5Ctimes%20%7BVolume%5C%20of%5C%20the%5C%20solution%7D)
So,
Moles of Nitric acid = 1.85 moles
Molar mass of nitric acid = 63 g/mol
The mass of Nitric acid can be find out by using mole formula as:
![moles=\frac{Mass\ taken}{Molar\ mass}](https://tex.z-dn.net/?f=moles%3D%5Cfrac%7BMass%5C%20taken%7D%7BMolar%5C%20mass%7D)
Thus,
![Mass\ of\ Nitric\ acid=Moles \times Molar mass}](https://tex.z-dn.net/?f=Mass%5C%20of%5C%20Nitric%5C%20acid%3DMoles%20%5Ctimes%20Molar%20mass%7D)
![Mass\ of\ Nitric\ acid=1.85 g \times 63 g/mol}](https://tex.z-dn.net/?f=Mass%5C%20of%5C%20Nitric%5C%20acid%3D1.85%20g%20%5Ctimes%2063%20g%2Fmol%7D)
<u>Mass of Nitric acid = 116.55 g</u>
Also,
![Density=\frac{Mass}{Volume}](https://tex.z-dn.net/?f=Density%3D%5Cfrac%7BMass%7D%7BVolume%7D)
Given : Density = 1.64 g/mL
Also, 1 L = 10³ mL
Volume of the solution is 1000 mL
So, mass of the solution:
![Mass\ of\ the\ solution=Density \times {Volume\ of\ the\ solution}](https://tex.z-dn.net/?f=Mass%5C%20of%5C%20the%5C%20solution%3DDensity%20%5Ctimes%20%7BVolume%5C%20of%5C%20the%5C%20solution%7D)
![Mass\ of\ the\ solution=1.64 g/mL \times {1000 mL}](https://tex.z-dn.net/?f=Mass%5C%20of%5C%20the%5C%20solution%3D1.64%20g%2FmL%20%5Ctimes%20%7B1000%20mL%7D)
<u>Mass of the solution = 1640 g</u>
Mass % is defined as the mass of solute in 100 g of the solution. The formula for the calculation of mass % is shown below:
![Mass \% =\frac{Mass\ of\ the\ solute}{Mass\ of\ the\ solution} \times {100}](https://tex.z-dn.net/?f=Mass%20%5C%25%20%3D%5Cfrac%7BMass%5C%20of%5C%20the%5C%20solute%7D%7BMass%5C%20of%5C%20the%5C%20solution%7D%20%5Ctimes%20%7B100%7D)
So,
![Mass \%=\frac{116.55}{1640} \times {100}](https://tex.z-dn.net/?f=Mass%20%5C%25%3D%5Cfrac%7B116.55%7D%7B1640%7D%20%5Ctimes%20%7B100%7D)
<u>Mass % = 7.1067 %</u>