Question:

The mass of $Na_{2}CO_{3}$ (in g) (M.wt=106) present in 1.0 L of 0.05 M solution is

Show Hint

Mass = Molarity $\times$ Molecular Weight for a 1-liter solution.
  • 0.53
  • 53.0
  • 26.5
  • 5.30
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Concept
Molarity ($M$) is defined as the number of moles of solute per liter of solution. The formula is $M = \frac{mass}{M.wt \times Volume(L)}$.

Step 2: Meaning

A 0.05 M solution contains 0.05 moles of $Na_{2}CO_{3}$ in every 1 liter of the solution.

Step 3: Analysis

We are given $M = 0.05$, $M.wt = 106$, and $V = 1.0$ L. Rearranging the formula to find mass: $mass = M \times M.wt \times V = 0.05 \times 106 \times 1.0$.

Step 4: Conclusion

Calculation gives $mass = 5.30$ g. Final Answer: (D)
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