(A) The critical temperature $(T_c)$ of a gas is given by the formula: $T_c = \frac{8a}{27Rb}$.To find the gas with the highest $T_c$,we need to calcu

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(A) The critical temperature $(T_c)$ of a gas is given by the formula: $T_c = \frac{8a}{27Rb}$.To find the gas with the highest $T_c$,we need to calculate the ratio $(a / b)$ for each gas:For $Ar$: $1.3 / 3.2 \approx 0.406$For $Ne$: $0.2 / 1.7 \approx 0.117$For $Kr$: $5.1 / 1.0 = 5.1$For $Xe$: $4.1 / 5.0 = 0.82$Comparing these values,the ratio $(a / b)$ is highest for $Kr$.Therefore,$Kr$ is expected to have the highest critical temperature.

Class 11 Chemistry States of Matter Real gases and Vander waal’s equation

Medium

Consider the van der Waals constants,$a$ and $b$,for the following gases:

Gas $Ar$ $Ne$ $Kr$ $Xe$

$a / (atm \ dm^6 \ mol^{-2})$ $1.3$ $0.2$ $5.1$ $4.1$

$b / (10^{-2} \ dm^3 \ mol^{-1})$ $3.2$ $1.7$ $1.0$ $5.0$

Which gas is expected to have the highest critical temperature?

Gas	$Ar$	$Ne$	$Kr$	$Xe$
$a / (atm \ dm^6 \ mol^{-2})$	$1.3$	$0.2$	$5.1$	$4.1$
$b / (10^{-2} \ dm^3 \ mol^{-1})$	$3.2$	$1.7$	$1.0$	$5.0$

AIIMS 2019 All AIIMS

A
$Kr$
B
$Ne$
C
$Xe$
D
$Ar$

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Real gases and Vander waal’s equation

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Consider the van der Waals constants,$a$ and $b$,for the following gases: Gas $Ar$ $Ne$ $Kr$ $Xe$ $a / (atm \ dm^6 \ mol^{-2})$ $1.3$ $0.2$ $5.1$ $4.1$ $b / (10^{-2} \ dm^3 \ mol^{-1})$ $3.2$ $1.7$ $1.0$ $5.0$ Which gas is expected to have the highest critical temperature?

Similar Questions

$A$ real gas obeying Van der Waals equation will resemble an ideal gas if the:

$A$ gas at $350 \; K$ and $15 \; bar$ has a molar volume $20$ percent smaller than that for an ideal gas under the same conditions. The correct option about the gas and its compressibility factor $(Z)$ is

$A$ plot of the compressibility factor $(z)$ vs $P$ is shown below for $H_2, He, N_2, CO_2$ and $SO_2$. Identify the plot for $CO_2$ gas.

For $1$ mol of a real gas kept at constant temperature $T$,the graph of $PV$ vs $P$ intersects the $PV$ axis at $20$. Hence,the temperature $T$ is ($R$ = universal gas constant).

Explain the conditions under which a real gas exhibits ideal gas behaviour.

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Consider the van der Waals constants,$a$ and $b$,for the following gases:

Gas $Ar$ $Ne$ $Kr$ $Xe$

$a / (atm \ dm^6 \ mol^{-2})$ $1.3$ $0.2$ $5.1$ $4.1$

$b / (10^{-2} \ dm^3 \ mol^{-1})$ $3.2$ $1.7$ $1.0$ $5.0$

Which gas is expected to have the highest critical temperature?