Calculate the molarity of a solution containing 5g of NaOH in 450 mL solution

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CUET Chemistry 10th Aug 2022 Official Paper
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  1. 0.278 × 10-3 M
  2. 0.278 M
  3. 2.78 × 10-3 M
  4. 2.78 M

Answer (Detailed Solution Below)

Option 2 : 0.278 M
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Detailed Solution

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Explanation:

Molarity is defined as the number of moles of solute per liter of solution. To calculate the molarity of the given solution, we need to first determine the number of moles of NaOH in the solution.

The formula for calculating the number of moles of a substance is:

moles = mass / molar mass

The molar mass of NaOH is 40 g/mol (sodium: 23 g/mol, oxygen: 16 g/mol, hydrogen: 1 g/mol).

So, the number of moles of NaOH in the solution is:

moles = 5 g / 40 g/mol
moles = 0.125 mol

Next, we need to convert the volume of the solution from milliliters (mL) to liters (L). There is 1000 mL in 1 L, so:

volume = 450 mL / 1000 mL/L
volume = 0.45 L

Finally, we can calculate the molarity of the solution by dividing the number of moles of NaOH by the volume of the solution in liters:

molarity = moles/volume
molarity = 0.125 mol / 0.45 L
molarity = 0.278 M

or 

Given, W = 5g, the Molecular Weight (W) of NaOH = 40 g

Molarity M = 

= 0.278 M 

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