A 150 mL beaker weighing 125.326 g had a 50.0 mL sample of an unknown liquid put inside of it. The beaker was then reweighed and found to be 164.776 g. What was the density of the liquid?
Question
A 150 mL beaker weighing 125.326 g had a 50.0 mL sample of an unknown liquid put inside of it. The beaker was then reweighed and found to be 164.776 g. What was the density of the liquid?
Solution
Step 1: Find the weight of the liquid.
To find the weight of the liquid, subtract the weight of the empty beaker from the weight of the beaker with the liquid.
Weight of the liquid = Weight of the beaker with liquid - Weight of the empty beaker Weight of the liquid = 164.776 g - 125.326 g = 39.45 g
Step 2: Convert the volume of the liquid to the same unit as the weight.
The volume of the liquid is given in milliliters (mL), but the weight is in grams (g). We know that 1 mL is equivalent to 1 cm^3. So, the volume of the liquid is 50.0 cm^3.
Step 3: Calculate the density of the liquid.
Density is defined as mass per unit volume. So, we divide the weight of the liquid by its volume to find the density.
Density = Mass/Volume Density = 39.45 g / 50.0 cm^3 = 0.789 g/cm^3
So, the density of the liquid is 0.789 g/cm^3.
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