The Question is from neet-physics units-and-measurement rounding-of-numbers, and it was created by the author NAGA SAI

Question

The value of Avogadro's number is $6.02214076 	imes 10^{23}$ $mol^{-1}$.  A student experimentally determines Avogadro's number to be $6.022141 	imes 10^{23}$ $mol^{-1}$.  When reporting this value with the correct number of significant figures reflecting the precision of the experimental result, the student should report:

NAGA SAI · Accepted Answer

## CORE INFORMATION
✓ **Answer**: A
## CONCEPT FRAMEWORK
	**Primary Concept**: Significant Figures
	**Related Topics**: Measurement, Precision, Accuracy
	**Prerequisites**: Understanding of significant figures rules.
## SOLUTION PATHWAY
**Given Information**:
	* Accepted Avogadro's Number: $6.02214076 	imes 10^{23}$ mol⁻¹
	* Experimentally Determined Value: $6.022141 	imes 10^{23}$ mol⁻¹
**Method & Steps**:
	1. **Identify the number of significant figures in the experimental measurement.**
		Reasoning: The experimental value dictates the precision of the reported result.
		The experimentally determined value has seven significant figures (6.022141).
	2. **Report the value with the correct number of significant figures.**
		Working: Since the experimental value has seven significant figures, the reported value should also have seven significant figures.
		Key Point:  We do not consider the significant figures of the accepted value when reporting an experimental result.
	3. **Match the correct option.**
		Result: $6.022141 	imes 10^{23}$ mol⁻¹
		Verification: This value has seven significant figures, matching the precision of the experimental measurement.
## OPTION ANALYSIS
[A] ✓: $6.022141 	imes 10^{23}$ mol⁻¹ - This option correctly represents the experimental value with seven significant figures.
[B] :x: $6.022 	imes 10^{23}$ mol⁻¹ - This option has only four significant figures, which is less precise than the experimental measurement.
[C] :x: $6.02214 	imes 10^{23}$ mol⁻¹ - This option has six significant figures, which is less precise than the experimental measurement.
[D] :x: $6.0221 	imes 10^{23}$ mol⁻¹ - This option has five significant figures, which is less precise than the experimental measurement.
## LEARNING AIDS
	**Common Mistakes**:
		1. Incorrectly rounding based on the accepted value: Remember to base the significant figures on the experimental measurement, not the theoretical or accepted value.
		2. Miscounting significant figures: Review the rules for determining significant figures, especially regarding zeros.
	**Quick Tips**:
		1. When performing calculations with experimental data, keep track of the least precise measurement to determine the significant figures in the final result.
		2. Practice identifying significant figures in various numbers to improve your accuracy.

NAGA SAI · Answer

The correct Option is "6.022141 × 10²³ mol⁻¹"

NAGA SAI · Answer

6.022 × 10²³ mol⁻¹

NAGA SAI · Answer

6.02214 × 10²³ mol⁻¹

NAGA SAI · Answer

6.0221 × 10²³ mol⁻¹

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