(B) The Van der Waals equation is $(P + \frac{an^2}{V^2})(V - nb) = nRT$. From the pressure correction term,we have $P = \frac{an^2}{V^2}$. Rearrangin

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(B) The Van der Waals equation is $(P + \frac{an^2}{V^2})(V - nb) = nRT$. From the pressure correction term,we have $P = \frac{an^2}{V^2}$. Rearranging for $a$,we get $a = \frac{P \cdot V^2}{n^2}$. Substituting the units: $P$ is in $atm$,$V$ is in $L$,and $n$ is in $mol$. Therefore,the unit of $a$ is $\frac{atm \cdot L^2}{mol^2}$ or $atm \cdot L^2 \cdot mol^{-2}$.

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

Medium

What is the unit of the Van der Waals constant $a$?

A
$L \cdot mol^{-1}$
B
$atm \cdot L^2 \cdot mol^{-2}$
C
$atm \cdot L \cdot mol^{-1}$
D
$mol^2 \cdot atm \cdot L^{-2}$

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Class 11 Questions

Class 11

Chemistry Questions

Chapter

States of Matter

Subtopic

Real gases and Vander waal’s equation

Calculate the compressibility factor $Z$ for $CO_2$,if one mole of it occupies $0.4 \ L$ at $300 \ K$ and $40 \ atm$. Also,comment on the result.

Medium

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In the $Vander$ $Waals$ equation,the constant $'b'$ is a measure of $......$.

Easy

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$A$ $Van \ der \ Waals$ real gas acts as an ideal gas under which of the following conditions?

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Under which of the following conditions does a real gas behave most like an ideal gas?

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Assertion : Compressibility factor $(Z)$ for non-ideal gases can be greater than $1$.
Reason : Non-ideal gases always exert higher pressure than expected.

MediumAIIMS 2015

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What is the unit of the Van der Waals constant $a$?

Similar Questions

Calculate the compressibility factor $Z$ for $CO_2$,if one mole of it occupies $0.4 \ L$ at $300 \ K$ and $40 \ atm$. Also,comment on the result.

In the $Vander$ $Waals$ equation,the constant $'b'$ is a measure of $......$.

$A$ $Van \ der \ Waals$ real gas acts as an ideal gas under which of the following conditions?

Under which of the following conditions does a real gas behave most like an ideal gas?

Assertion : Compressibility factor $(Z)$ for non-ideal gases can be greater than $1$.Reason : Non-ideal gases always exert higher pressure than expected.

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Assertion : Compressibility factor $(Z)$ for non-ideal gases can be greater than $1$.
Reason : Non-ideal gases always exert higher pressure than expected.