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NEET CHEMISTRYEasy

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. 5.375→5.4 g5.375 \rightarrow 5.4 \text{ g}
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