Questions: The density of ethanol is 0.789 g / mL. What is the mass of 750 mL ethanol in grams and kilograms?

The density of ethanol is 0.789 g / mL. What is the mass of 750 mL ethanol in grams and kilograms?
Transcript text: 7. The density of ethanol is $0.789 \mathrm{~g} / \mathrm{mL}$. What is the mass of 750 mL ethanol in grams and kilograms?
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Solution

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Solution Steps

Step 1: Identify Given Values
  • Density of ethanol: 0.789g/mL0.789 \, \text{g/mL}
  • Volume of ethanol: 750mL750 \, \text{mL}
Step 2: Calculate Mass in Grams
  • Use the formula for mass: Mass=Density×Volume \text{Mass} = \text{Density} \times \text{Volume}
  • Substitute the given values: Mass=0.789g/mL×750mL \text{Mass} = 0.789 \, \text{g/mL} \times 750 \, \text{mL}
Step 3: Perform the Calculation
  • Calculate the mass in grams: Mass=591.75g \text{Mass} = 591.75 \, \text{g}
Step 4: Convert Mass to Kilograms
  • Use the conversion factor: 1kg=1000g1 \, \text{kg} = 1000 \, \text{g}
  • Convert the mass from grams to kilograms: Mass=591.75g1000=0.59175kg \text{Mass} = \frac{591.75 \, \text{g}}{1000} = 0.59175 \, \text{kg}

Final Answer

The mass of 750 mL of ethanol is 591.75g \boxed{591.75 \, \text{g}} and 0.59175kg \boxed{0.59175 \, \text{kg}} .

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