Question

At $273K$ temperature and $9atm$ pressure, the compressibility for gas is 0.9. The volume of $1millimole$ of gas at this temperature and pressure is :

• A. $2.24litre$
• B. $0.020mL$
• C. $2.24mL$
• D. $22.4mL$

Answer 1

The correct option is C $2.24mL$

We know that, compressibility factor for a gas, $Z$ = $\frac{PV}{nRT}$

⇒ $V$ = $\frac{ZnRT}{P}$

Given,

$Z=0.9,n=1m.mole,T=273K,P=9atm$.

⇒ $V$ = $\frac{0.9\times 1\times 0.0821\times 273}{9}$ = $2.24mL$

Hence, vol. of $1millimole$ of gas = $2.24mL$

Option C is correct.