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\(m=6,74g\\ d=0,7857\frac{g}{mL}\\\\ V=\frac{m}{d}=\frac{6,74g}{0,7857\frac{g}{mL}}\approx8,58mL\)

Answer: The volume of acetone is 8.58 ml

Explanation:

To calculate volume of a substance, we use the equation:

\(\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}\)

We are given:

Density of acetone = \(0.7857g/cm^3\)

mass of acetone = 6.74 g

Volume of acetone = ?  

Putting values in above equation, we get:

\(0.7857g/cm^3=\frac{6.74g}{Volume}\)

Volume of acetone=\(8.58cm^3=8.58ml\)    \(1cm^3=1mL\)  

Hence, the volume of acetone is 8.58 ml.