How many grams are equivalent to a 25.0 ounce container?
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A
0.883
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B
53.3
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C
226
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D
707
A 25.0 ounce container is equivalent to approximately 707 grams.
This problem requires converting a mass from the English system (ounces) to the metric system (grams). The standard conversion factor is 1 ounce (oz) ≈ 28.35 grams (g). For many practical calculations, 28.3 or 28.4 g/oz is used.
A) 0.883
This value results from performing the inverse and incorrect operation: dividing 25.0 by 28.35 (25.0 / 28.35 ≈ 0.882). This would tell you how many ounces are in 25 grams, not how many grams are in 25 ounces. It mistakes the direction of the conversion.
B) 53.3
This value is not a logical result of the conversion. It is close to what one might get if they mistakenly used 2.13 as a conversion factor (25 * 2.13 = 53.25), which is not the known relationship between ounces and grams.
C) 226
This value is plausible but inaccurate. It could result from using a rough conversion of 1 oz = 28.0 g (25 * 28 = 700) or from a calculation error. It is significantly lower than the correct approximation.
D) 707
This is the correct calculation using the standard approximation of 28.3 g/oz. 25.0 ounces * 28.3 grams/ounce = 707.5 grams. Using the more precise factor of 28.35 g/oz gives 25.0 * 28.35 = 708.75 grams. Both results round closest to 707 among the provided options.
Conclusion:
To convert from a larger mass unit (ounce) to a smaller one (gram), multiplication by the conversion factor is required. Using the standard factor of approximately 28.3 grams per ounce, 25.0 ounces is equivalent to about 707 grams.
Topic Flashcards
Click to FlipWhat is the precise conversion factor used to change ounces (oz) to grams (g)?
Approximately 28.35 grams per ounce (often rounded to 28.3 g/oz for calculations).
You need to measure 10.0 ounces of a chemical. How many grams is this? (Calculate)
About 283.5 grams (10.0 oz × 28.35 g/oz).
What is the most common mathematical error made when converting ounces to grams?
Dividing by the conversion factor instead of multiplying, yielding a number less than 1.
A beaker's mass is listed as 500 grams. Roughly how many ounces is this equivalent to?
About 17.6 ounces (500 g ÷ 28.35 g/oz).
Why might two people calculating the grams in 25 ounces get slightly different answers (e.g., 707 vs. 709)?
Due to using slightly different values for the conversion factor (e.g., 28.3 g/oz vs. 28.35 g/oz).