6.025*10^20 molecules of acetic acid are present in 500 ml of its solution .What is the concentration of the solution?
.001 moles / .5 L = .002 M
To find the concentration of the solution, we need to know the total volume of the solution and the number of moles of acetic acid present.
First, let's calculate the number of moles of acetic acid:
Number of moles = Number of molecules / Avogadro's constant.
Avogadro's constant = 6.022 × 10^23 molecules/mol.
Number of moles = 6.025 × 10^20 / 6.022 × 10^23
Number of moles = 0.100 moles (approximately).
Next, we need to find the volume of the solution in liters (since concentration is usually expressed in moles per liter).
Volume = 500 ml = 0.5 liters.
Finally, we can calculate the concentration (C):
Concentration (C) = Number of moles / Volume.
C = 0.100 moles / 0.5 liters
C = 0.20 moles/L.
Therefore, the concentration of the solution is 0.20 moles per liter (0.20 M).
To find the concentration of the solution, we need to convert the given number of molecules to moles of acetic acid, and then divide it by the volume of the solution.
First, let's convert the given number of molecules to moles. We'll use Avogadro's number, which states that 1 mole of any substance contains 6.022 x 10^23 molecules.
Given:
Number of molecules = 6.025 x 10^20 molecules
Moles of acetic acid = (Number of molecules)/(Avogadro's number)
= (6.025 x 10^20 molecules)/(6.022 x 10^23 molecules/mol)
Now, we can calculate the concentration of the solution by dividing the moles of acetic acid by the volume of the solution.
Given:
Volume of solution = 500 ml
Concentration of the solution = (Moles of acetic acid)/(Volume of solution)
= (moles of acetic acid)/(500 ml)
Note: It's common to express the concentration in terms of molarity (M), which is moles of solute per liter of solution. Therefore, you might need to convert the final answer from moles per milliliter to moles per liter by dividing by 1000.