Calculate the concentration of stock trioxonitrate (V) acid which has a mass density of 1.5g/cm3 and has purity of 70%. [Mr; HNO3=63]
To calculate the concentration of the stock trioxonitrate (V) acid, we will first calculate the concentration of the pure trioxonitrate (V) acid and then adjust it for the purity.
Step 1: Calculate the concentration of pure trioxonitrate (V) acid.
Given: Mass density = 1.5 g/cm^3
Mr (molar mass) of HNO3 = 63 g/mol
To calculate the concentration, we need to convert the density into molarity. The formula for converting mass density to molarity is:
Molarity (M) = (Mass density / Mr) * 1000
Molarity = (1.5 g/cm^3 / 63 g/mol) * 1000 = 23.81 mol/L
Step 2: Adjust for the purity.
Given: Purity = 70%
To adjust for purity, we multiply the concentration of pure trioxonitrate (V) acid by the purity percentage:
Adjusted concentration = Molarity * (Purity / 100)
Adjusted concentration = 23.81 mol/L * (70 / 100) = 16.67 mol/L
Therefore, the concentration of the stock trioxonitrate (V) acid with a mass density of 1.5 g/cm^3 and a purity of 70% is approximately 16.67 mol/L.
How many electrons carry a total charge of 48250C?[1F=96500C/mol, L=6.02×10^23particles/mol]
To calculate the number of electrons carrying a total charge of 48250C, we need to use the relationship between charge and the number of moles of electrons.
Given: Total charge = 48250C
1 F = 96500 C/mol
Step 1: Convert the total charge from Coulombs to Farads.
Total charge (in moles) = Total charge (in Coulombs) / 96500 C/mol
Total charge (in moles) = 48250C / 96500 C/mol = 0.5 mol
Step 2: Convert the moles of electrons to the number of electrons.
Given: Avogadro's number (L) = 6.02×10^23 particles/mol
Number of electrons = Total charge (in moles) * L
Number of electrons = 0.5 mol * 6.02×10^23 particles/mol
Number of electrons = 3.01×10^23 electrons
Therefore, a total charge of 48250C carries approximately 3.01×10^23 electrons.
Calculate the charge in coulombs carried by 2mol of electrons[1F=96500C/mol]
To calculate the charge in coulombs carried by 2 moles of electrons, we can use the relationship between charge and the number of moles of electrons.
Given: Number of moles of electrons = 2 moles
1 F = 96500 C/mol
Step 1: Calculate the charge in coulombs.
Charge (in coulombs) = Number of moles of electrons * 1 F
Charge (in coulombs) = 2 moles * 96500 C/mol
Charge (in coulombs) = 193000 C
Therefore, 2 moles of electrons carry a charge of 193000 coulombs.
To calculate the concentration of the stock trioxonitrate (V) acid, we need to know the volume of the acid solution.
If we assume that the volume of the acid solution is 1 cm^3 (for simplicity), we can calculate the mass of the acid solution using the mass density:
Mass of acid solution = mass density * volume
Mass of acid solution = 1.5 g/cm^3 * 1 cm^3
Mass of acid solution = 1.5 g
Since the purity of the acid is given as 70%, we can calculate the mass of the trioxonitrate (V) acid present in the solution by multiplying the mass of the acid solution by the purity:
Mass of HNO3 = Mass of acid solution * purity
Mass of HNO3 = 1.5 g * 0.70
Mass of HNO3 = 1.05 g
Finally, we can calculate the concentration of the stock trioxonitrate (V) acid using the molar mass of HNO3:
Concentration = (Mass of HNO3 / Molar mass of HNO3) * 1000
Concentration = (1.05 g / 63 g/mol) * 1000
Concentration = 16.67 mol/L
Therefore, the concentration of the stock trioxonitrate (V) acid is approximately 16.67 mol/L.
To calculate the concentration of the stock trioxonitrate (V) acid, you need to know the mass density and the purity of the acid.
Step 1: Calculate the mass of the pure solute:
Start by finding the mass of the solute (HNO3) in the stock acid solution. Multiply the mass density by the volume of the stock acid solution to get the mass of the acid (solute) in grams.
Mass of the solute = Mass density × Volume.
Given that the mass density of the stock acid solution is 1.5 g/cm3, and assuming a volume of 1 cm3 for simplicity, the mass of the solute in 1 cm3 of the stock acid solution is:
Mass of the solute = 1.5 g/cm3 × 1 cm3 = 1.5 g.
Step 2: Calculate the mass of the acid in the stock acid solution:
Since the purity of the acid is 70%, only 70% of the mass of the stock acid solution is actually the pure acid (HNO3).
Mass of the acid = Purity × Mass of the solute.
Given that the purity of the acid is 70%, the mass of the acid in the stock acid solution is:
Mass of the acid = 70% × 1.5 g = 1.05 g.
Step 3: Calculate the number of moles of the acid:
To find the number of moles, divide the mass of the acid by its molar mass.
Number of moles of the acid = Mass of the acid / Molar mass.
Given the molar mass of HNO3 is 63 g/mol, the number of moles of the acid in the stock acid solution is:
Number of moles of the acid = 1.05 g / 63 g/mol ≈ 0.0167 mol.
Step 4: Calculate the concentration of the stock acid solution:
The concentration of the stock acid solution is the number of moles of the acid divided by the volume of the stock acid solution in liters.
Concentration = Number of moles / Volume.
Given that the volume of the stock acid solution is 1 L, the concentration of the stock acid solution is:
Concentration = 0.0167 mol / 1 L = 0.0167 M.
Therefore, the concentration of the stock trioxonitrate (V) acid is approximately 0.0167 M.