How many miles of sodium chloride present in 250ml of a 0.50M NaCl solution?

Question

Answer

Calculation of Miles of Sodium Chloride in 0.50M NaCl Solution

Sodium chloride, commonly known as table salt, is a compound composed of sodium and chlorine ions. In chemistry, concentration is the measure of the amount of solute in a given amount of solution. The unit of concentration is molarity, which is defined as the number of moles of solute per liter of solution. To calculate the miles of sodium chloride in a 0.50M NaCl solution, the following steps need to be taken:

Step 1: Calculate the Number of Moles of NaCl in the Solution

To calculate the number of moles of NaCl in the solution, we need to use the formula:

moles = concentration x volume

where concentration is in molarity (M) and volume is in liters (L).

Given:

Concentration of NaCl solution = 0.50M

Volume of NaCl solution = 250ml = 0.250L

Using the formula:

moles of NaCl = 0.50M x 0.250L = 0.125 moles

Step 2: Convert Moles of NaCl to Miles of NaCl

To convert moles of NaCl to miles of NaCl, we need to use the formula:

miles = moles x molecular weight x Avogadro's number

where molecular weight is the sum of the atomic weights of the elements in the compound and Avogadro's number is the number of particles (atoms, molecules, or ions) per mole.

Given:

Molecular weight of NaCl = 58.44 g/mol

Avogadro's number = 6.022 x 10^23 particles/mol

Using the formula:

miles of NaCl = 0.125 moles x 58.44 g/mol x 6.022 x 10^23 particles/mol = 4.93 x 10^22 miles

Step 3: Interpretation of the Result

The result obtained shows that there are 4.93 x 10^22 miles of NaCl present in 250ml of a 0.50M NaCl solution.

Note that the term 'miles' is not a standard unit of measurement in chemistry. However, it can be used as a way to express the large number of particles present in a given amount of a substance.

Answer

Molarity = moles / volume in litre
0.5 = moles / 250/1000
0.5= moles/4

so, moles = 0.5 × 4 = 2 moles

Answer

2 mols

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