Question

A pycnometer is a glass apparatus used for accurately determining the density of a liquid. When dry and empty, a certain pycnometer had a mass of 27.056 g. When filled with distilled water at 25.0°C, it weighed 36.773 g. When filled with chloroform (a liquid once used as an anesthetic before its toxic properties were known), the apparatus weighed 41.451 g. At 25.0°C, the density of water is 0.99704 g/mL

Answer 1

Complete Question

A pycnometer is a glass apparatus used for accurately determining the density of a liquid. When dry and empty, a certain pycnometer had a mass of 27.056 g. When filled with distilled water at 25.0°C, it weighed 36.773 g. When filled with chloroform (a liquid once used as an anesthetic before its toxic properties were known), the apparatus weighed 41.451 g. At 25.0°C, the density of water is 0.99704 g/mL

-What is the volume of the pycnometer (mL)

 

We have that the volume of the pycnometer in mL is

$V=9.111mL$

From the Question we are told that

Pycnometer mass of $m_p=27.056 g.$

Temperature $T=25 \textdegree$

Pycnometer filled with distilled water $m_{pf}= 36.773 g$

Apparatus weighed $w=41.451 g$

Density of water $\rho= 0.99704 g/mL$

Generally the equation for Density  is mathematically given as

$\rho=\frac{mass}{Volume}$

Since pycnometer is filled with water its volume can be defined by the volume of water in it

Therefore

Mass of water Pycnometer filled with distilled water-Pycnometer mass

$M_w=36.773 -27.056\\\\M_w=9.084g$

Hence

$V=\frac{9.084g}{0.99704 }$

$V=9.111mL$

in conclusion

The volume of the Pycnometer in mL is

$V=9.111mL$

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