3.13g if CuNO3 is dissolved in water to make a 0.270 M solution. What is the volume of the solution?
moles = g/molar mass
Solve for moles.
M = moles/L
Solve for L.
Make sure that is CuNO3 and not Cu(NO3)2.
To find the volume of the solution, we can use the formula:
Molarity (M) = moles of solute / volume of solution (in liters)
Given:
Molarity (M) = 0.270 M
Mass of solute (CuNO3) = 3.13 g
Step 1: Convert the mass of the solute to moles.
To do this, we need the molar mass of CuNO3.
The molar mass of CuNO3 is:
Copper (Cu) = 63.55 g/mol
Nitrogen (N) = 14.01 g/mol
Oxygen (O) = 16.00 g/mol (3 oxygen atoms)
Molar mass of CuNO3 = 63.55 + 14.01 + (16.00 x 3) = 63.55 + 14.01 + 48.00 = 125.56 g/mol
Now, use the formula:
moles = mass / molar mass
moles of CuNO3 = 3.13 g / 125.56 g/mol
Step 2: Substitute the values into the formula:
Molarity = moles / volume
0.270 M = (3.13 g / 125.56 g/mol) / volume
Step 3: Rearrange the formula to solve for volume:
volume = (3.13 g / 125.56 g/mol) / 0.270 M
Step 4: Calculate the volume:
volume = (0.0249 mol) / (0.270 mol/L)
volume = 0.092 L
Therefore, the volume of the solution is 0.092 liters or 92 milliliters.