A 52.3 kg sample of ethanol is needed for a reaction. What volume in liters of ethanol should be used? The density of ethanol is 0.789 g/mL
mass = volume x density or
volume = mass/density
Substitute and solve for volume. If you use density in g/mL you must change mass from kg to g. 52.3 kg = 52300 g.
To calculate the volume of ethanol needed, we need to convert the mass of the sample from kilograms to grams, and then use the density of ethanol to find the volume.
1. Convert the mass from kilograms to grams:
52.3 kg * 1000 g/kg = 52,300 g
2. Use the density formula to calculate the volume:
Density = Mass / Volume
Rearrange the formula to solve for Volume:
Volume = Mass / Density
Volume = 52,300 g / 0.789 g/mL
3. Calculate the volume:
Volume ≈ 66,271 mL
4. Convert the volume from milliliters to liters:
1 L = 1000 mL
Divide the volume by 1000:
Volume ≈ 66,271 mL / 1000 = 66.271 L
Therefore, approximately 66.271 liters of ethanol should be used for the reaction.