Question

A gas is to be filled from a tank of capacity 10,000 litres into cylinders each having capacity of 10 litres. The condition of the gas in the tank is as follows :
(a) pressure inside the tank is 800 mm of Hg.
(b) temperature inside the tank is $-3^{\circ }C$.
When the cylinder is filled, the pressure gauge reads 400 mm of Hg and the temperature is $0^{\circ }C$. Find the number of cylinders required to fill the gas.

Answer 1

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

Here, $P_1=800mm,T_1=-3^{o}C=270K,V_1=10,000L,P_2=400mm,T_2=0^{o}C=273K$

Then $V_2=\frac{800\times 10000\times 273}{270\times 400}=2022.2L$

Number of cylinders required $=\frac{20222}{10}=2022$ cylinders