The critical constants PC TC for methane are 45 atm and 180 K . The correct statement is -

Question

The critical constants PC TC for methane are 45 atm and 180 K . The correct statement is - (A) VC=2.4 L (B) b=0.04 L / m o l (C) VC=0.8 L (D) b=0.8 L / m o l

Tardigrade Admin · Accepted Answer

The critical constants PC TC for methane are 45 atm and 180 K. Therefore, P C =( a /27 b 2), T C =(8 a /27 Rb ) ⇒ (PC/TC)=(R/8 b) ⇒ b=0.04 (L/mol).

Q. The critical constants $P_{C}$ & $T_{C}$ for methane are $45 a t m$ and $180 K$ . The correct statement is -

$V_{C} = 2.4 L$

$b = 0.04 L / m o l$

$V_{C} = 0.8 L$

$b = 0.8 L / m o l$

The critical constants $P_{C} & T_{C}$ for methane are $45 a t m$ and $180 K$ .
Therefore, $P_{C} = \frac{a}{27 b ^{2}}, T_{C} = \frac{8 a}{27 R b}$
$\Rightarrow \frac{P _{C}}{T _{C}} = \frac{R}{8 b}$
$\Rightarrow b = 0.04 \frac{L}{m o l}$ .

Q. The critical constants PC​ & TC​ for methane are 45atm and 180K . The correct statement is -

VC​=2.4L

b=0.04L/mol

VC​=0.8L

b=0.8L/mol