Boyle's temperature `(T_(B))` : It is the temperature at which a real gas exhibits ideal behavior in low pressure range. Different gases have different value of `T_(B)`, which is related to the van der Wall's constant `a` and `ab` as follows: `T_(B) = (a)/(Rb)`
The compressiblity factor for a real gas is given as `Z = 1 + 0.35 P - (168)/(T)P`. Where `P` is in bar and `T` is in Kelvin. What is the Boyle's temperature of the gas?

Options

A. `168 K`
B. `480 K`
C. `58.8 K`
D. `575 K`

Answer

B

Explanation

At Boyle's temperature `Z = 1`
`1 = 1 + 0.35 P - (168P)/(T)`
or `T = 480 K`