The Van der Waals parameters for gases W,X,Y, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The critical temperature $(T_c)$ of a gas is given by the formula: $T_c = \frac{8a}{27Rb}$.From the formula,$T_c$ is directly proportional to $a$

Vedclass · Accepted Answer

$Z$

Vedclass · Answer

(D) The critical temperature $(T_c)$ of a gas is given by the formula: $T_c = \frac{8a}{27Rb}$.From the formula,$T_c$ is directly proportional to $a$ and inversely proportional to $b$ $(T_c \propto \frac{a}{b})$.Calculating the ratio $\frac{a}{b}$ for each gas:For $W$: $\frac{4.0}{0.027} \approx 148.15$For $X$: $\frac{8.0}{0.030} \approx 266.67$For $Y$: $\frac{6.0}{0.032} = 187.5$For $Z$: $\frac{12.0}{0.027} \approx 444.44$Since gas $Z$ has the highest ratio of $\frac{a}{b}$,it has the highest critical temperature.

$Gas$	$a \ (atm \ L^2 \ mol^{-2})$	$b \ (L \ mol^{-1})$
$W$	$4.0$	$0.027$
$X$	$8.0$	$0.030$
$Y$	$6.0$	$0.032$
$Z$	$12.0$	$0.027$

Gas	$a / (kPa \cdot dm^6 \cdot mol^{-2})$	$b / (dm^3 \cdot mol^{-1})$
$A$	$642.32$	$0.05196$
$B$	$155.21$	$0.04136$
$C$	$431.91$	$0.05196$
$D$	$155.21$	$0.4382$

The Van der Waals parameters for gases $W$,$X$,$Y$,and $Z$ are given below. Which one of these gases has the highest critical temperature?

$Gas$ $a \ (atm \ L^2 \ mol^{-2})$ $b \ (L \ mol^{-1})$

$W$ $4.0$ $0.027$

$X$ $8.0$ $0.030$

$Y$ $6.0$ $0.032$

$Z$ $12.0$ $0.027$

Similar Questions

Pressure exerted by $1 \, mole$ of methane in a $0.25 \, L$ container at $300 \, K$ using van der Waals equation is ............... $atm$ (given $a = 2.253 \, atm \, L^2 \, mol^{-2}, b = 0.0428 \, L \, mol^{-1}$):

In the given $pV \to V$ graph for gases at constant temperature,what kind of deviation will be observed for $H_2, He, CO, CH_4$?

Gas deviates from ideal gas nature because molecules

What is meant by Boyle temperature and Boyle point?

Consider the following table:

Gas $a / (kPa \cdot dm^6 \cdot mol^{-2})$ $b / (dm^3 \cdot mol^{-1})$

$A$ $642.32$ $0.05196$

$B$ $155.21$ $0.04136$

$C$ $431.91$ $0.05196$

$D$ $155.21$ $0.4382$

$a$ and $b$ are van der Waals constants. The correct statement about the gases is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

The Van der Waals parameters for gases $W$,$X$,$Y$,and $Z$ are given below. Which one of these gases has the highest critical temperature? $Gas$ $a \ (atm \ L^2 \ mol^{-2})$ $b \ (L \ mol^{-1})$ $W$ $4.0$ $0.027$ $X$ $8.0$ $0.030$ $Y$ $6.0$ $0.032$ $Z$ $12.0$ $0.027$