Question

The compressibility factor for $N_2$ at $-{50}^{o}C$ and 800 $atm$ pressure is 1.95. The mole of $N_2$ required to fill up a balloon of 100 $L$ capacity are:

• A. $2.24\times {10}^3$
• B. $2.24\times {10}^2$
• C. $2.24$
• D. $22.4$

Answer 1

The correct option is A $2.24\times {10}^3$

As we know,
compressibility factor is,
$Z=\frac{PV}{nRT}$
and by putting given data
$n=\frac{800\times 100}{1.95\times 0.0821\times 223}=2.24\times {10}^3$ $mol$.