Question

The vander waals constant for $O_2$ are $a=1.36atm{L}^{2}mo{l}^{-2}$ and $b=0.0318Lmo{l}^{-1}$. Calculate the temperature at which $O_2$ gas behaves, ideally for longer range of pressure.

• A. 521 $K$
• B. 1000 $K$
• C. 1042 $K$
• D. None of these

Answer 1

The correct option is A 521 $K$

The temperature at which oxygen gas behaves ideally for a longer range of pressure is Boyle's temperature.

$T_B=\frac{a}{bR}$

$=\frac{1.36atm{L}^{2}mo{l}^{-2}}{0.0318Lmo{l}^{-1}\times 0.08206Latm/mol/K}$

$=521K$

Hence, the temperature at which oxygen gas behaves ideally for a longer range of pressure is 521 $K$.

Hence, the correct option is $\text{A}$