Question

An empty RD bottle has a mass of 25.25 g. When filled with water, the bottle has a mass
of 55.75 g. and 45.50 g when filled with alcohol. Find the volume of bottle and the RD
of alcohol. Also find the density of alcohol.

Answer 1

Answer:

Considering:

mass of empty RD bottle: 25.25 g

mass of bottle filled with water: 55.75 g ⇒ mass of water: 55.75 - 25.25 = 30.5 g

mass of bottle filled with alcohol: 45.50 g ⇒ mass of alcohol: 45.50 - 25.25 = 20.25 g

Volume of bottle (Just for reference, you will not use it):

$V=\frac{1}{3} \pi h_{2} (a^{2} +ab+b^{2} )+\pi b^{2} h_{2}$

$a$:  neck radius

$b$: body radius

$h_{2}$: neck height

$h_{1}$: body height

$RD = \frac{\rho Substance}{\rho Reference}$

$Density (\rho)= \frac{Mass (m)}{Volume (V)}$

Density of water = 1 g/mL

$1 = 30.5 V$

$V = \frac{1}{30.5}ml$

Therefore the Volume of bottle is   $\frac{1}{30.5}ml$

The density of alcohol is:

$DensityAlcohol (\rho)= \frac{20.25}{\frac{1}{30.5}}$

$DensityAlcohol (\rho)= 617.625 g/cm3$

$RDAlcohol = \frac{617.625}{1} = 617.625 g/cm3$

Answer 2

Answer:

Volume of bottle is 1/30.5

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