(A) For one mole of an ideal gas, the ideal gas equation is $pV = RT$, which can be rearranged as $V = (R/p)T$. Comparing this with the equation of a

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(A) For one mole of an ideal gas, the ideal gas equation is $pV = RT$, which can be rearranged as $V = (R/p)T$. Comparing this with the equation of a straight line $y = mx + c$, where $y = V$ and $x = T$, the slope $m$ is given by $m = R/p$. Since $R$ is a constant, the slope $m$ is inversely proportional to the pressure $p$ $(m \propto 1/p)$. Given the condition $p_1 1/p_2 > 1/p_3$. Therefore, the relation between the slopes is $m_1 > m_2 > m_3$.

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

Medium

The isobars of one mole of an ideal gas were obtained at three different pressures ($p_1$, $p_2$ and $p_3$). The slopes of these isobars are $m_1$, $m_2$ and $m_3$ respectively. If $p_1 < p_2 < p_3$, then the correct relation of the slopes is

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A
$m_1 > m_2 > m_3$
B
$m_1 < m_2 < m_3$
C
$m_1 > m_3 > m_2$
D
$m_1 = m_2 = m_3$

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Ideal gas equation and Related gas laws

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In a closed vessel of volume $0.082 \, dm^3$ at $600 \, K$,the complete decomposition of methanol vapor occurs as follows: $CH_3OH_{(g)} \to CO_{(g)} + 2H_{2(g)}$. If $0.01 \, mol$ of methanol is taken initially,what will be the pressure generated in the vessel in $atm$?

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The isobars of one mole of an ideal gas were obtained at three different pressures ($p_1$, $p_2$ and $p_3$). The slopes of these isobars are $m_1$, $m_2$ and $m_3$ respectively. If $p_1 < p_2 < p_3$, then the correct relation of the slopes is

Similar Questions

The molecular weights of $O_2$ and $SO_2$ are $32$ and $64$ respectively. If $1 \, L$ of $O_2$ at $15 \, ^\circ C$ and $750 \, mm$ pressure contains '$N$' molecules,the number of molecules in $2 \, L$ of $SO_2$ under the same conditions of temperature and pressure will be

When an ideal gas undergoes unrestrained expansion,no cooling occurs because the molecules

At a constant temperature,two different gases $G_1$ and $G_2$ are kept in separate flasks. The molar mass of $G_2$ is three times that of $G_1$,while the density of $G_1$ is two times that of $G_2$. What is the ratio of the pressure exerted by $G_2$ to that of $G_1$ in their respective flasks?

In a closed vessel of volume $0.082 \, dm^3$ at $600 \, K$,the complete decomposition of methanol vapor occurs as follows: $CH_3OH_{(g)} \to CO_{(g)} + 2H_{2(g)}$. If $0.01 \, mol$ of methanol is taken initially,what will be the pressure generated in the vessel in $atm$?

How many moles of $He$ gas occupy $22.4 \, L$ at $30^{\circ}C$ and $1 \, atm$ pressure?

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