Question

A spherical balloon of 21 cm diameter is to be filled with $H_2$ gas at STP. From a cylinder, containing the gas at 20 atm and ${17}^{o}C$. If the vol. of cylinder is $2.82$ L, what will be the no. of balloon that can be filled up by this pressure?

Answer 1

Pressure in balloon $=1$ atm

Temperature $={25}^{\circ }$

Vol$=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14\times 9.26\times {10}^{-3}{m}^3=38.76l$

$n=\frac{PV}{RT}=\frac{\left(1\right)\left(38.76\right)}{\left(0.0821\right)\left(298\right)}=1.5843$

n in cylinder $=\frac{\left(20\right)\left(2.82\right)}{\left(0.0821\right)\left(290\right)}=2.368$

$\therefore$ Only one balloon can be filled by this cylinder.