What is the mass of a solution that has a density of 0.775 g/mL and a volume of 50.0 mL?

Question

BlackTom AI · Accepted Answer

To determine the mass from density and volume, we use the relationship mass = density × volume.
Option 1: 0.016 g. If you multiply a density around 0.775 g/mL by 50 mL, you should expect a mass near 40 g, not a tiny fraction like 0.016 g. This option is far too small and indicates a misplacement of decimal or unit error.
Option 2: 38.8 g. This value aligns with the calculation: 0.775 g/mL × 50.0 mL = 38.75 g, which rounds appropriately to 38.8 g given the significant figures (three sig figs in both density and volume). The unit is grams, matching the calculation.
Option 3: 64.5 g. This would correspond to a density about 1.29 g/mL if the volume were 50 mL, or a volume around 83 mL with density 0.775 g/mL. It overshoots the expected mass for the given volume and density, suggesting a miscalculation of either quantity.
Option 4: 0.039 g. This is orders of magnitude smaller than expected for the product of 0.775 g/mL and 50 mL, indicating a likely error such as converting mL to L incorrectly or scaling by a factor of 1000.
In summary, the correct approach yields a mass on the order of tens of grams, with the only value matching the calculated result after proper rounding being 38.8 g.

SP25: CHEM-30A Sec 01 - Intro Chem Final Exam

What is the mass of a solution that has a density of 0.775 g/mL and a volume of 50.0 mL?

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