Question

At moderate pressure, $Z$ value of gas is $1+xP-\frac{yP}{T}$. The Boyle's temperature is:

• A. $\frac{x}{y}$
• B. $\frac{y}{x}$
• C. $\frac{Z}{y}$
• D. $\frac{Z}{x}$

Answer 1

The correct option is B $\frac{y}{x}$

At Boyle's temperature, the gas would behave like an ideal gas following the equation

$PV=nRT$

Therefore, $Z=\frac{PV}{nRT}=1$

$\Rightarrow 1+xp-\frac{yp}{T_b}=1$

$\Rightarrow T_b=\frac{y}{x}$

Hence, option $B$ is the correct answer.