Question

5 cubic meter tank contains chlorine at 250 kPa and 30 degrees Celsius after 2.5 kg of chlorine has been used.

Determine: 

 

(a) the original mass of chlorine in the tank in kg

(b) the pressure (kPa) of chlorine in the tank if the original temperature was 315K

Answer 1

Solution;

Given;

$V=5m^3$

$P=250kPa$

$T=30°c=303K$

Molecular weight of chlorine is 70.9

Assume that chlorine to an ideal gas;

$PV=mRT$

$R=\frac{\bar{R}}{M}=\frac{8.314}{70.9}$

$m=\frac{PV}{RT}=\frac{250×5}{\frac{8.314}{70.9}×303}$ $m=\frac{1250}{35.53}=35.18kg$

(a)

Original mass;

$m_o=35.18+2.5=37.68kg$

(b)

$T=315K$

$PV=m_oRT$

$P=\frac{m_oRT}{V}=\frac{37.68×0.1173×315}{5}=278.37kPa$