What volume of ethanol must be poured into a graduated cylinder to give 19.8 g of alcohol if ethanol has a density of 0.789 g/cm³?

To find the volume of ethanol required to obtain 19.8 g, we can use the formula that relates density, mass, and volume:

Density = Mass / Volume

We can rearrange this formula to solve for volume:

Volume = Mass / Density

Now, substituting the values:

  • Mass = 19.8 g
  • Density = 0.789 g/cm³

Now plug these values into the formula:

Volume = 19.8 g / 0.789 g/cm³

When performing the calculation:

Volume = 25.1 cm³

This means that you need to pour approximately 25.1 cm³ of ethanol into the graduated cylinder to obtain 19.8 g of alcohol. This calculation helps in understanding how mass and density are interconnected, especially in the context of measuring liquids in scientific experiments.

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