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Ch.1 - Chemical Tools: Experimentation & Measurement
Chapter 1, Problem 50

An experimental procedure call for 250 mg of calcium car-bonate. The balance in the laboratory measures mass in grams and reads to four decimal places. Which reading on the bal-ance corresponds to 250 mg?(a) 0.0250(b) 0.2500 (c) 0.0025

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1
Convert the mass from milligrams to grams. Remember that 1 gram (g) is equal to 1000 milligrams (mg).
Set up the conversion: \( 250 \text{ mg} \times \frac{1 \text{ g}}{1000 \text{ mg}} \).
Perform the division to convert 250 mg to grams.
Compare the result with the options provided: (a) 0.0250, (b) 0.2500, (c) 0.0025.
Identify which option matches the calculated value in grams.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this case, converting milligrams (mg) to grams (g) is essential, as the balance measures mass in grams. Since 1 gram equals 1000 milligrams, 250 mg can be converted to grams by dividing by 1000, resulting in 0.250 grams.
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Significant Figures

Significant figures are the digits in a number that contribute to its precision. When measuring mass, the number of significant figures indicates the reliability of the measurement. The balance reads to four decimal places, meaning the measurement should also reflect this precision, ensuring that the final answer maintains the appropriate number of significant figures.
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Precision of Measurement

Precision of measurement refers to the degree to which repeated measurements under unchanged conditions show the same results. In this context, the balance's ability to read to four decimal places indicates a high level of precision, which is important for accurately determining the mass of calcium carbonate needed for the experiment.
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