Question

Oxygen at 5 bar and 320 K is supplied to an insulated tank of volume 5

m3

. The tank initially contains oxygen at 1 bar and 300 K. Determine:

i) the final temperature in the tank when its pressure reaches 5 bar. 

ii) the mass that has entered the tank.

Answer 1

Gives

$P_1=100kpa$

T₁=300k

$V_1=\frac{P_2V_2 \times T_1}{T_2\times P_1}$

Put Value

V₁=23.43 m³

$P_2=500kpa$

$T_2=320K$

$V_2=5m^3$

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

$T_2=\frac{T_1}{P_1V_1}\times P_2V_2$

Put value

$T_2=\frac{300 \times500Kpa\times5}{100Kpa\times23.43}=$320K

Part(b)

We know that

$m=\frac{P_1V_1}{RT_1}$

$m=\frac{100 \times23.43}{4.12\times400}=1.42kg$