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Answer :
Final answer:
To find the mass, convert the volume to milliliters, multiply it by the given density to find the mass in grams, and then convert that to kilograms. The mass of 39.3 in^3 of a liquid with a density of 0.702 g/mL is approximately 0.45163 kg. None of the answer options provided match the calculated result.
Explanation:
The density of the liquid is given as 0.702 g/mL. The volume is given in cubic inches and needs to be converted to milliliters. The conversion factor is 1 in^3 = 16.387 mL. Therefore, 39.3 in^3 = 39.3 * 16.387 mL = 643.4141 mL. Using the formula for mass (density x volume) we can find the mass: 0.702 g/mL x 643.4141 mL = 451.63070 g. Converting grams to kilograms (since 1 kg = 1000 g), we get a final mass of 0.45163 kg. The closest answer choice to this value is option D) 12.23 kg, though it is substantially off.
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