(B) The molar volume $V_m$ is calculated as $V_m = \frac{\text{Molar mass}}{\text{density}} = \frac{27}{0.3} = 90 \ L/mol$.The compressibility factor

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$A$ behaves non-ideally with positive deviation

(B) The molar volume $V_m$ is calculated as $V_m = \frac{\text{Molar mass}}{\text{density}} = \frac{27}{0.3} = 90 \ L/mol$.The compressibility factor $Z$ is given by $Z = \frac{P V_m}{R T}$.Using $R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1}$,we get $Z = \frac{1 \times 90}{0.0821 \times 750} \approx 1.46$.Since $Z > 1$,the gas $A$ shows positive deviation from ideal behavior.

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

Medium

The density of a gas $A$ at $1 \ atm$ and $750 \ K$ is $0.3 \ g/L$. If the molar mass of $A$ is $27 \ g/mol$,then choose the correct statement -

A
$A$ behaves ideally
B
$A$ behaves non-ideally with positive deviation
C
$A$ behaves non-ideally with negative deviation
D
$A$ can be liquefied by applying pressure at $750 \ K$.

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Class 11

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States of Matter

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Real gases and Vander waal’s equation

For which of the following gases will the van der Waals constant $'a'$ have the highest value?

Easy

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At low pressure,Vander Waals equation is written as $(P + \frac{a}{V^2})V = RT$. The compressibility factor is then equal to

Medium

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Calculate the compressibility factor $(Z)$ of $1 \text{ mole}$ of a certain real gas if it occupies $0.4 \text{ dm}^3$ at $300 \text{ K}$ and $40 \text{ atm}$. [Given: $R = 0.082 \text{ dm}^3 \text{ atm K}^{-1} \text{ mol}^{-1}$]

DifficultMHT CET 2026

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$A$ certain quantity of real gas occupies a volume of $0.15 \ dm^3$ at $100 \ atm$ and $500 \ K$ when its compressibility factor is $1.07$. Its volume at $300 \ atm$ and $300 \ K$ (when its compressibility factor is $1.4$) is $........ \times 10^{-4} \ dm^3$ (Nearest integer).

MediumJEE MAIN 2023

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Which of the following formulae is used to determine the compressibility factor $(Z)$ for the measurement of deviation from ideal behavior?

EasyMHT CET 2023

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The density of a gas $A$ at $1 \ atm$ and $750 \ K$ is $0.3 \ g/L$. If the molar mass of $A$ is $27 \ g/mol$,then choose the correct statement -

Similar Questions

For which of the following gases will the van der Waals constant $'a'$ have the highest value?

At low pressure,Vander Waals equation is written as $(P + \frac{a}{V^2})V = RT$. The compressibility factor is then equal to

Calculate the compressibility factor $(Z)$ of $1 \text{ mole}$ of a certain real gas if it occupies $0.4 \text{ dm}^3$ at $300 \text{ K}$ and $40 \text{ atm}$. [Given: $R = 0.082 \text{ dm}^3 \text{ atm K}^{-1} \text{ mol}^{-1}$]

$A$ certain quantity of real gas occupies a volume of $0.15 \ dm^3$ at $100 \ atm$ and $500 \ K$ when its compressibility factor is $1.07$. Its volume at $300 \ atm$ and $300 \ K$ (when its compressibility factor is $1.4$) is $........ \times 10^{-4} \ dm^3$ (Nearest integer).

Which of the following formulae is used to determine the compressibility factor $(Z)$ for the measurement of deviation from ideal behavior?

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