Which of the following measurements corresponds to the buret...

Which of the following measurements corresponds to the buret shown in Figure 4 having an uncertainty of $\pm 0.05 \mathrm{~mL} ?$
(a) $32.0 \mathrm{~mL}$
(b) $32.00 \mathrm{~mL}$
(c) $32.05 \mathrm{~mL}$
(d) $32.58 \mathrm{~mL}$

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Key Concepts

Significant Figures

Significant figures are the digits in a number that carry meaning contributing to its precision. The number of significant figures in a measurement should reflect the instrument's precision. For example, when an instrument has an uncertainty of ±0.05 mL, a value reported with one decimal place (such as 32.0 mL) accurately represents the device's resolution, ensuring that the result does not imply a false sense of precision.

Instrument Resolution

Instrument resolution is the smallest change in a quantity that an instrument can detect reliably. In this case, the buret’s resolution is indicated by its uncertainty of ±0.05 mL, guiding how the measurement should be recorded. Measurements must be reported in a way that aligns with the instrument's capability to discern differences, ensuring that each measurement reflects the appropriate level of detail in accordance with its resolution.

Measurement Uncertainty

Measurement uncertainty refers to the doubt that exists about the result of any measurement. In the context of the problem, the buret has an uncertainty of ±0.05 mL, meaning that any reported value should reflect that level of precision and account for possible deviation by that amount. This concept is fundamental in understanding the reliability and precision of experimental measurements.

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