(B) The compressibility factor $Z$ is given by the formula $Z = \frac{PV}{nRT}$.Given: $P = 40 \ atm$,$V = 0.4 \ L$,$n = 1 \ mol$,$R = 0.0821 \ L \cdo

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(B) The compressibility factor $Z$ is given by the formula $Z = \frac{PV}{nRT}$.Given: $P = 40 \ atm$,$V = 0.4 \ L$,$n = 1 \ mol$,$R = 0.0821 \ L \cdot atm \cdot K^{-1} \cdot mol^{-1}$,$T = 300 \ K$.Substituting the values: $Z = \frac{40 \times 0.4}{1 \times 0.0821 \times 300} = \frac{16}{24.63} \approx 0.65$.Since $Z < 1$,the attractive forces are dominant,which means the gas is more compressible than an ideal gas.

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

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For $1 \ mol$ of $CO_2$ gas at $300 \ K$ temperature and $40 \ atm$ pressure occupying a volume of $0.4 \ L$,the compressibility factor $Z$ indicates that the gas is:

A
Less compressible
B
More compressible
C
Ideal
D
None of the above

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States of Matter

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Real gases and Vander waal’s equation

$A$ certain gas obeys $P(V_{m}-b)=RT$. The value of $(\frac{\partial Z}{\partial P})_{T}$ is $\frac{xb}{RT}$. The value of $x$ is .... .
(Integer answer) ($Z$: compressibility factor)

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Under which conditions does a real gas show maximum deviation from ideal gas behavior?

Medium

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Match the Van der Waals constant $a$ (in $L^2 \cdot bar \cdot mol^{-2}$) for the following gases:

Gas $a$ value

$1. C_6H_{6(g)}$ $a. 0.217$

$2. C_6H_5CH_{3(g)}$ $b. 5.464$

$3. Ne_{(g)}$ $c. 18.000$

$4. H_2O_{(g)}$ $d. 24.060$

Gas	$a$ value
$1. C_6H_{6(g)}$	$a. 0.217$
$2. C_6H_5CH_{3(g)}$	$b. 5.464$
$3. Ne_{(g)}$	$c. 18.000$
$4. H_2O_{(g)}$	$d. 24.060$

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At $300 \, K$ temperature and $40 \, atm$ pressure,if one mole of $CO_2$ occupies $0.4 \, L$,then it is:

Medium

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For a real gas,what do negative and positive deviations in the $pV$ vs $p$ plot at constant temperature signify?

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For $1 \ mol$ of $CO_2$ gas at $300 \ K$ temperature and $40 \ atm$ pressure occupying a volume of $0.4 \ L$,the compressibility factor $Z$ indicates that the gas is:

Similar Questions

$A$ certain gas obeys $P(V_{m}-b)=RT$. The value of $(\frac{\partial Z}{\partial P})_{T}$ is $\frac{xb}{RT}$. The value of $x$ is .... .(Integer answer) ($Z$: compressibility factor)

Under which conditions does a real gas show maximum deviation from ideal gas behavior?

Match the Van der Waals constant $a$ (in $L^2 \cdot bar \cdot mol^{-2}$) for the following gases: Gas $a$ value $1. C_6H_{6(g)}$ $a. 0.217$ $2. C_6H_5CH_{3(g)}$ $b. 5.464$ $3. Ne_{(g)}$ $c. 18.000$ $4. H_2O_{(g)}$ $d. 24.060$

At $300 \, K$ temperature and $40 \, atm$ pressure,if one mole of $CO_2$ occupies $0.4 \, L$,then it is:

For a real gas,what do negative and positive deviations in the $pV$ vs $p$ plot at constant temperature signify?

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$A$ certain gas obeys $P(V_{m}-b)=RT$. The value of $(\frac{\partial Z}{\partial P})_{T}$ is $\frac{xb}{RT}$. The value of $x$ is .... .
(Integer answer) ($Z$: compressibility factor)

Match the Van der Waals constant $a$ (in $L^2 \cdot bar \cdot mol^{-2}$) for the following gases:

Gas $a$ value

$1. C_6H_{6(g)}$ $a. 0.217$

$2. C_6H_5CH_{3(g)}$ $b. 5.464$

$3. Ne_{(g)}$ $c. 18.000$

$4. H_2O_{(g)}$ $d. 24.060$