Question

A certain amount of a gas is filled in a tank of volume $63000litre$ and $42$ atm. If this gas is transferred to cylinders of volume of $1260l$ each, find the number of cylinders that can be filled with the given gas at STP :(assume complete evacuation of cylinder)

Answer 1

$Boyl{e}^{\prime }sLaw$

At constant temperature, pressure is directly propertional to volume of gas. $P_1{V}_1$=$P_2{V}_2$

$V_1$=$63000$ litre

$P_1=42$ atm

at STP,

$V_2$$=1260$ l $P_2$=1 atm

now applying boyle's law,

For $"n"$ cylinders,

$P_1{V}_1=\left(n\right)\left(P_2{V}_2\right)$

$\left(42\right)\times \left(63000\right)=n(1260\times 1)$

$n=2100.$

$2100$ cylinders can be filed