Find the percent by mass of sodium chloride in a 1.35 M NaCl solution. The density of the solution is 1.06 g/mL..............how do I go about doing this question thanks!
Well, to find the percent by mass of sodium chloride in the solution, you need to know the molar mass of NaCl and the mass of the solution. But wait, let me tell you a salty joke first. Why don't scientists trust atoms? Because they make up everything!
Now, back to your question. The molar mass of NaCl is 58.44 g/mol. So if you have a 1.35 M solution, it means there are 1.35 moles of NaCl in every liter of the solution. Since the density is 1.06 g/mL, you can assume you have 1.06 g of the solution for every mL.
Now, you need to convert mL to grams by multiplying 1.06 g/mL by the volume of the solution. Let's say you have 100 mL of the solution for simplicity. That means you have 1.06 g/mL * 100 mL = 106 g of the solution.
Next, you find the mass of NaCl in the solution by multiplying the molar mass by the number of moles. In this case, you have 1.35 moles, so you have 1.35 moles * 58.44 g/mol = 78.759 g of NaCl.
Finally, you can now calculate the percent by mass by dividing the mass of NaCl by the mass of the solution, and multiplying it by 100. Using the values we found, it would be (78.759 g / 106 g) * 100 = 74.34%. So the percent by mass of NaCl in a 1.35 M NaCl solution is approximately 74.34%.
Hope that entertained you as much as the answer itself!
To find the percent by mass of sodium chloride in a solution, you can follow these steps:
Step 1: Determine the mass of the solution.
To calculate the mass of the solution, you can use the formula: mass = volume x density.
Given that the density of the solution is 1.06 g/mL and assuming we have 1.00 mL of the solution, the mass of the solution would be 1.00 mL x 1.06 g/mL = 1.06 g.
Step 2: Find the mass of sodium chloride in the solution.
To do this, you need to consider the molarity of the NaCl solution. The molarity gives you the number of moles of NaCl per liter of solution.
Given that the molarity (M) is 1.35 M, this means there are 1.35 moles of NaCl in 1 liter (1000 mL) of solution.
Step 3: Convert moles to grams.
Since the molarity of the solution is given in moles, we need to convert moles of NaCl to grams. The molar mass of NaCl is 58.44 g/mol.
Using the equation: mass = moles x molar mass, we can calculate the mass of NaCl in grams.
Mass of NaCl = 1.35 moles x 58.44 g/mol = 78.87 g.
Step 4: Calculate the percent by mass.
The percent by mass is calculated by dividing the mass of sodium chloride by the mass of the solution and multiplying by 100.
Percent by mass = (mass of NaCl / mass of solution) x 100.
Percent by mass = (78.87 g / 1.06 g) x 100 = 74.43%
Therefore, the percent by mass of sodium chloride in a 1.35 M NaCl solution with a density of 1.06 g/mL is approximately 74.43%.
To find the percent by mass of sodium chloride in a solution, you need to calculate the mass of sodium chloride in the solution and divide it by the total mass of the solution.
Here's how you can approach this problem:
Step 1: Determine the volume of the solution.
Given the density of the solution is 1.06 g/mL, you can use this information to find the volume of the solution containing 1 mole of NaCl.
1 mole of NaCl has a mass of 58.44 g. Therefore, the volume of the 1.35 M NaCl solution containing 58.44 g can be calculated using the density equation:
Volume = Mass / Density
Volume = 58.44 g / 1.06 g/mL
Volume ≈ 55.04 mL
Step 2: Calculate the mass of sodium chloride in the solution.
To find the mass, you can use the moles of NaCl present in the solution and its molar mass.
The molar mass of NaCl is 58.44 g/mol.
Given that the concentration of NaCl is 1.35 M, we can calculate the moles of NaCl using the following equation:
Moles = Concentration * Volume
Moles = 1.35 moles/L * (55.04 mL / 1000 mL/L)
Moles ≈ 0.074 moles
Now, multiply the number of moles by the molar mass:
Mass of NaCl = Moles * Molar Mass
Mass of NaCl = 0.074 moles * 58.44 g/mol
Mass of NaCl ≈ 4.33 g
Step 3: Calculate the percent by mass.
To calculate the percent by mass, divide the mass of NaCl by the total mass of the solution and multiply by 100%.
Percent by mass = (Mass of NaCl / Total Mass of Solution) * 100%
Percent by mass = (4.33 g / 55.04 g) * 100%
Percent by mass ≈ 7.87%
Therefore, the percent by mass of sodium chloride in the 1.35 M NaCl solution is approximately 7.87%.
%(m/m)=mass of the solute/mass of the solution*100
Then,1.35 mole of NaCl(mass=58.5) per litre
and 78.975g of NaCl
The mass of the solution =1060g per litre
%(m/m)=78.975g/1060g*100=7.45%