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NEET CHEMISTRYSome Basic Concepts of ChemistryEasy

Question

The mass of a 2.5 mL2.5 \text{ mL} solution (the density of the solution is 2.15 g/mL2.15 \text{ g/mL}) in the correct significant figures is:

A

5375 × 10⁻³ g

B

5.4 g

C

5.38 g

D

53.75 g

Step-by-Step Solution

  1. Identify Data:
  • Volume (VV) = 2.5 mL2.5 \text{ mL} (2 significant figures).
  • Density (ρ\rho) = 2.15 g/mL2.15 \text{ g/mL} (3 significant figures).
  1. Calculate Mass: Mass=Density×Volume\text{Mass} = \text{Density} \times \text{Volume} Mass=2.15×2.5=5.375 g\text{Mass} = 2.15 \times 2.5 = 5.375 \text{ g}
  2. Apply Significant Figures Rule: In multiplication, the final result should retain as many significant figures as the original number with the least significant figures [Class 11 Physics, Ch 1, Sec 1.3.1].
  • The term with the least significant figures is 2.52.5 (2 sig figs).
  1. Round Off: The result 5.3755.375 must be rounded to 2 significant figures. The digit to be dropped is 7 (>5>5), so the preceding digit (3) is raised by 1. 5.3755.4 g5.375 \rightarrow 5.4 \text{ g}

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Some Basic Concepts of Chemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYSome Basic Concepts of Chemistrysolutiondensitysolutioncorrectsignificant

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