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The density of ethanol is [tex]$0.789 \, g / mL$[/tex]. Find the mass of a sample of ethanol that has a volume of [tex]150.0 \, mL[/tex].

Sagot :

Sure, let's solve this problem step by step.

1. Identify the given values:
- Density of ethanol, [tex]\( d = 0.789 \, \text{g/mL} \)[/tex]
- Volume of ethanol, [tex]\( V = 150.0 \, \text{mL} \)[/tex]

2. Recall the formula for mass:

The mass can be found using the formula:
[tex]\[ \text{Mass} = \text{Density} \times \text{Volume} \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Mass} = 0.789 \, \text{g/mL} \times 150.0 \, \text{mL} \][/tex]

4. Perform the multiplication:
[tex]\[ \text{Mass} = 0.789 \times 150.0 = 118.35000000000001 \, \text{g} \][/tex]

Therefore, the mass of the ethanol sample is [tex]\( 118.35 \, \text{g} \)[/tex] (keeping the significant figures in mind).