Answer to Question #227515 in Molecular Physics | Thermodynamics for Unknown346307

Question

 2.5. A vessel of cylindrical shape is 50 cm in diameter and 75 cm high. It con￾tains 4 kg of a gas. The pressure measured with manometer indicates 620 mm of Hg above

atmosphere when barometer reads 760 mm of Hg. Determine :

(i) The absolute pressure of the gas in the vessel in bar.

(ii) Specific volume and density of the gas.

Answer 1

Solution;

Given;

Diameter of the vessel,d=50cm=0.5m

Height of vessel,h=75cm=0.75m

Mass of gas in vessel;m=4kg

Manometer reading =620mm of Hg above atmosphere.

Barometer reading =760mm of Hg

Volume of vessel is;

$\fracπ4×d^2×h=\fracπ4×0.5^2×0.75=0.1472m^3$

(i) Absolutely pressure of gas in vessel;

Total pressure in the vessel;

$760+620=1380mm$ of Hg

Since;

$1mm$ of Hg=133.4$N/m^2$

$P=1380×133.4$ =$1.841×10^5N/m^2$ =$1.841$ bar

(ii)

Specific volume;

$\nu=\frac V m=\frac{0.147m^3}{4kg}=$ $0.03675m^3/kg$

Density;

$\rho=\frac m V=\frac{4kg}{0.147m^3}=27.21kg/m^3$