Question

An exacuted glass vessel weighs 50 g when empty, 148g when filled with an liquid of density o.989/cc and 50.5 g whenfilled with an ideal gas760 mmHg and at 300k. Determine the molecular weights of gss.​

Answer 1

MW of gas : 124.12 g/mol

Further explanation

Density is a quantity derived from the mass and volume

Density is the ratio of mass per unit volume

With the same mass, the volume of objects that have a high density will be smaller than objects with a smaller type of density

The unit of density can be expressed in g/cm³ or kg/m³

Density formula:

`\large {\boxed {\bold {\rho ~ = ~ \frac {m} {V}}}}`

ρ = density

m = mass

v = volume

glass vessel wieight = 50 g

glass vessel + liquid = 148 ⇒ liquid = 148 - 50 =98 g

volume of glass vessel :

`\tt V=(m)/(\rho)=(98)/(0.989)=99.1~ml`

An ideal gas :

m = 50.5 - 50 = 0.5 g

P = 760 mmHg = 1 atm

T = 300 K

`\tt PV=(mass(m))/(MW).RT\\\\MW=(m.RT)/(PV)\\\\Mw=(0.5* 0.082* 300)/(1* 0.0991)=124.12~g/mol`