Ncert Exercises & Solutions

5.17 Calculate the volume occupied by 8.8 g of CO2 at 31.1°C and 1 bar pressure.
R = 0.083 bar L K–1 mol–1.

$I t i s k n o w n t h a t,$
$p V = \frac{m}{M} R t$
$\Rightarrow V = \frac{m R T}{M p}$
$H e r e, m = 8.8 g$
$R = 0.083 b a r L K^{- 1} m o l^{- 1}$
$T = 31.1 ° C = 304.1 K$
$M = 44 g p = 1 b a r$

$T h u s, v o l u m e (V) = \frac{8.8 \times 0.083 \times 304.1}{44 \times 1}$
$= 5.04806 L$
$= 5.05 L$

Hence, the pay load of the balloon is 3811.1 kg.