(B) According to the ideal gas equation,$p V = n R T$.Rearranging for the volume as a function of temperature,we get $V = (\frac{n R}{p}) T$.The slope

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(B) According to the ideal gas equation,$p V = n R T$.Rearranging for the volume as a function of temperature,we get $V = (\frac{n R}{p}) T$.The slope of the plot of $V$ versus $T$ is given by $\text{slope} = \frac{n R}{p}$.Given: $\text{slope} = 0.328 \, L \, K^{-1}$,$n = 2 \, mol$,and $R = 0.0821 \, L \, atm \, mol^{-1} \, K^{-1}$.Substituting the values: $0.328 = \frac{2 \times 0.0821}{p}$.Solving for $p$: $p = \frac{2 \times 0.0821}{0.328} = \frac{0.1642}{0.328} = 0.5 \, atm$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Medium

At a constant pressure $p$,the plot of volume $(V)$ as a function of temperature $(T)$ for $2 \, mol$ of an ideal gas gives a straight line with a slope $0.328 \, L \, K^{-1}$. The value of $p$ (in $atm$) is closest to
[Gas constant,$R=0.0821 \, L \, atm \, mol^{-1} \, K^{-1}$ ]

KVPY 2017 All KVPY

A
$0.25$
B
$0.5$
C
$1.0$
D
$2.0$

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Class 11

Chemistry Questions

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States of Matter

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Ideal gas equation and Related gas laws

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$n$ moles of an ideal gas at temperature $T$ (in kelvin) occupy $V \ L$ of volume,exerting a pressure of $P$ atmospheres. What is the concentration (in $mol / L$)?

MediumAP EAMCET 2001

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Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of $1 \, atm$ but also a concentration of $1 \, mol \, L^{-1}$ $(R = 0.082 \, L \, atm \, mol^{-1} \, K^{-1})$?

MediumAIPMT 1993

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Calculate the number of total atoms and molecules in $4 \, L$ of $SO_2$ gas at $350 \, K$ temperature and $10^3 \, Pa$ pressure. $[R = 8.3144 \, J \, K^{-1} \, mol^{-1}]$.

Medium

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$2 \times 10^6$ molecules of $N_2$ gas enter into a vessel having a volume of $400 \, mL$ at $400 \, K$ temperature. Find the pressure in $atm$ and $bar$. $[R = 0.082 \, L \, atm \, mol^{-1} \, K^{-1}]$,$[1 \, atm = 1.013 \, bar]$

Medium

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The deviation of a gas from ideal behavior can be expressed by which of the following?

Medium

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At a constant pressure $p$,the plot of volume $(V)$ as a function of temperature $(T)$ for $2 \, mol$ of an ideal gas gives a straight line with a slope $0.328 \, L \, K^{-1}$. The value of $p$ (in $atm$) is closest to[Gas constant,$R=0.0821 \, L \, atm \, mol^{-1} \, K^{-1}$ ]

Similar Questions

$n$ moles of an ideal gas at temperature $T$ (in kelvin) occupy $V \ L$ of volume,exerting a pressure of $P$ atmospheres. What is the concentration (in $mol / L$)?

Under what conditions will a pure sample of an ideal gas not only exhibit a pressure of $1 \, atm$ but also a concentration of $1 \, mol \, L^{-1}$ $(R = 0.082 \, L \, atm \, mol^{-1} \, K^{-1})$?

Calculate the number of total atoms and molecules in $4 \, L$ of $SO_2$ gas at $350 \, K$ temperature and $10^3 \, Pa$ pressure. $[R = 8.3144 \, J \, K^{-1} \, mol^{-1}]$.

$2 \times 10^6$ molecules of $N_2$ gas enter into a vessel having a volume of $400 \, mL$ at $400 \, K$ temperature. Find the pressure in $atm$ and $bar$. $[R = 0.082 \, L \, atm \, mol^{-1} \, K^{-1}]$,$[1 \, atm = 1.013 \, bar]$

The deviation of a gas from ideal behavior can be expressed by which of the following?

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At a constant pressure $p$,the plot of volume $(V)$ as a function of temperature $(T)$ for $2 \, mol$ of an ideal gas gives a straight line with a slope $0.328 \, L \, K^{-1}$. The value of $p$ (in $atm$) is closest to
[Gas constant,$R=0.0821 \, L \, atm \, mol^{-1} \, K^{-1}$ ]