Question

Balloons of 4l capacity are to be filled with hydrogen at a pressure of 1 atm and ${27}^{o}C$ from an 8 l cylinder containing hydrogen at 10 atm at the same temperature. Find the number of balloons that can be filled.

Answer 1

At same temperature,

$P_1{V}_2=P_2{V}_2$ (Boyle's law)

$P_1=10atm;P_2=1atm$

$V_1=4l=V_2=8l$

But while filling balloons from cylinder when pressure in cylinder becomes 1 atm then further filling is not possible $(P_1^{\prime }=9atm)$

Let n be the number of balloons that can be filled.

$\therefore P_1^{\prime }{V}_1=n\left(P_1{V}_1\right)$

$9\times 8=n(4\times 1)$

$n=\frac{9\times 8}{4}=18balloons$