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If a certain mixture of olive oil and vinegar has a total mass of 397.4 g and a

ID: 816947 • Letter: I

Question

If a certain mixture of olive oil and vinegar has a total mass of 397.4g and a total volume of 421.6cm3, what is the volume of oil and what is the volume of vinegar in the mixture? Express your answer using two significant figures. Enter your answers numerically separated by a comma. If a certain mixture of olive oil and vinegar has a total mass of 397.4g and a total volume of 421.6cm3, what is the volume of oil and what is the volume of vinegar in the mixture? Express your answer using two significant figures. Enter your answers numerically separated by a comma.

Explanation / Answer

tThe density of olive oil is 0.918 g/cm3, the density of vinegar is 1.006 g/cm3, and the two do not mix

let the volume of olive oil be x

then voulme f vinegar is 421.6-x

mass of olive oil=density * volume=0.918x

mass of vinegar=1.006*(421.6-x)

total mass=397.4g

0.918x+1.006(421.6-x)=397.4

x=303.74 volume of olive oil

421.6-x=117.85 volume of vinegar

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