JEE Main · 2025 · Shift-IIeasyMOLE-225

Concentrated nitric acid is labelled as 75% by mass. The volume in mL of the solution which contains 30 g of nitric…

Some Basic Concepts (Mole Concept) · Class 11 · JEE Main Previous Year Question

Question

Concentrated nitric acid is labelled as 75% by mass. The volume in mL of the solution which contains 30 g of nitric acid is ______.

Given: Density of nitric acid solution is 1.25 g/mL

(a) 45 \quad (b) 55 \quad (c) 32 \quad (d) 40

Options
  1. a

    45

  2. b

    55

  3. c

    32

  4. d

    40

Correct Answerc

32

Detailed Solution

🧠 Two conversions: % to mass, then mass to volume The bottle is 75%75\% acid by mass. So 30g30\,\text{g} of pure acid sits inside a larger amount of solution. Find the solution mass first, then divide by density.

🗺️ Step by step Mass of solution: m=300.75=40g.m = \frac{30}{0.75} = 40\,\text{g}.

Volume: V=md=401.25=32mL.V = \frac{m}{d} = \frac{40}{1.25} = 32\,\text{mL}.

Fast check 40/1.25=40×4/5=3240/1.25 = 40 \times 4/5 = 32. Clean.

Answer: (c)\boxed{\text{Answer: (c)}}

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