To determine the best approximation of the radius of a hydrogen atom (0.0000000529177 mm) from the options provided (0.00000006, 0.00000005, or 0.0000000053), we can round the given number to the appropriate number of significant figures.
The value 0.0000000529177 mm can be approximated as follows:
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Rounding to 2 significant figures: It rounds to 0.000000053 mm (or 5.3 x 10^-8 mm).
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Comparison with options:
- 0.00000006 (6 x 10^-8) is higher than 0.0000000529177.
- 0.00000005 (5 x 10^-8) is less than it.
- 0.0000000053 (5.3 x 10^-9) is much smaller and not an appropriate approximation.
Based on the rounding and the available options, the best approximation for the radius of a hydrogen atom is 0.00000005 since it is the closest representation without going over the actual value.
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