Question

The relation between crititical constants is represented as 8PcVc = xRTc. What is the value of ‘x’

Answer 1

Given:

Relation between critical constant as 8$P_{c} V_{c} = xRT_{c}$

To Find:

What is value of x = ?

Solution:

We know from Compressibility-Factor (z) = $\dfrac{PV}{nRT}$

Equation at critical temperature $T_{c} = \dfrac{8a}{27bR}$

Critical pressure is pressure of the fluid at above critical temperature where liquid & gas do not distinct.

Equation at critical pressure $P_{c} = \dfrac{a}{27b^{2} }$

Critical Volume is Volume -occupied by gas at critical temp and pressure

Equation at critical Volume $V_{c} = 3b$

By equating all the equation we find value of the z = 3/8

$\dfrac{8PV}{3RT}$

x value is 3