Practicing Success

Target Exam

CUET

Subject

Chemistry

Chapter

Some Basic Concepts of Chemistry

Question:

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\)

Assertion A: \(3.1500\text{ g}\) of hydrated oxalic acid dissolved in water to make \(250.0 \text{ mL}\) solution will result in \(0.1\text{ M}\) oxalic acid solution.

Reason \(R\): Molar mass of hydrated oxalic acid is \(126 \text{g mol}^{-1}\)

In the light of the above statements, choose the correct answer from the options given below.

Options:

Both \(A\) and \(R\) are correct but \(R\) is NOT the correct explanation of \(A\)

\(A\) is true but \(R\) is false

Both \(A\) and \(R\) are correct and \(R\) is the correct explanation of \(A\)

\(A\) is false but \(R\) is true

Correct Answer:

Both \(A\) and \(R\) are correct and \(R\) is the correct explanation of \(A\)

Explanation:

The correct answer is 3. Both \(A\) and \(R\) are correct and \(R\) is the correct explanation of \(A\)

Firstly, let's calculate the molarity of the oxalic acid solution given in the Assertion (A).

The molarity (M) is defined as the number of moles of solute per liter of solution. The number of moles of solute is given by the mass of the solute divided by its molar mass.

So, the number of moles of hydrated oxalic acid is \(\frac{3.1500 \text{ g}}{126\text{ g mol}^{-1}} = 0.025 \text{ mol}\)

And the volume of the solution is \(250.0 \text{ mL}\), or \(0.250 \text{ L}\).

Therefore, the molarity of the solution is \(\frac{0.025 \text{ mol}}{0.250 \text{ L}} = 1\text{ M}\)

This matches the molarity given in the Assertion (A), so the Assertion is true.

The Reason (R) gives the molar mass of hydrated oxalic acid as \(126 \text{ g/mol}\), which was used in the calculation above. Therefore, the Reason is also true.

Moreover, the Reason (R) is the correct explanation of Assertion (A), as it provides the necessary information (the molar mass of hydrated oxalic acid) to calculate the molarity of the solution.

So, the correct option is 3. Both A and R are true and R is the correct explanation of A.