(C) From the ideal gas equation,$PV = nRT$,we have $T = (P/nR)V$. For a fixed amount of gas ($n$ is constant),the slope of the $T-V$ graph is given by

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(C) From the ideal gas equation,$PV = nRT$,we have $T = (P/nR)V$. For a fixed amount of gas ($n$ is constant),the slope of the $T-V$ graph is given by $m = P/nR$. Since $n$ and $R$ are constants,the slope $m$ is directly proportional to the pressure $P$. Therefore,a steeper slope in the $T-V$ graph corresponds to a higher pressure. Looking at the graph,the slope of the curve for $P_1$ is the steepest,followed by $P_2$,and then $P_3$. Thus,the correct relation is $P_1 > P_2 > P_3$.

Class 11 Physics Kinetic Theory Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

Medium

The following graph represents the $T-V$ curves of an ideal gas (where $T$ is the temperature and $V$ is the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines. Then the correct relation is:

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A
$P_1 > P_3 > P_2$
B
$P_2 > P_1 > P_3$
C
$P_1 > P_2 > P_3$
D
$P_3 > P_2 > P_1$

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Class 11

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Kinetic Theory

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Gas Laws (Charles, Boyle's, Avagadro's, Gay Lussacs and Dalton's law) and Ideal gas Equation

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The molecular weights of $O_2$ and $N_2$ are $32$ and $28$ respectively. At $15^{\circ}C$,the pressure of $1 \, g$ of $O_2$ will be the same as that of $1 \, g$ of $N_2$ in the same bottle at the temperature of ...... $^{\circ}C$.

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At the top of a mountain,a thermometer reads $7^{\circ}C$ and a barometer reads $70 \, cm$ of $Hg$. At the bottom of the mountain,these read $27^{\circ}C$ and $76 \, cm$ of $Hg$ respectively. The ratio of the density of air at the top to that at the bottom is

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At a given temperature,the pressure of an ideal gas of density $\rho$ is proportional to

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$A$ container $A$ contains a gas at thermodynamic coordinates $P, V,$ and $T$. Another container $B$ contains a different gas at $2P, V/4,$ and $2T$. The ratio of the number of molecules in container $A$ to the number of molecules in container $B$ is:

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State the Avogadro hypothesis.

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The following graph represents the $T-V$ curves of an ideal gas (where $T$ is the temperature and $V$ is the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines. Then the correct relation is:

Similar Questions

The molecular weights of $O_2$ and $N_2$ are $32$ and $28$ respectively. At $15^{\circ}C$,the pressure of $1 \, g$ of $O_2$ will be the same as that of $1 \, g$ of $N_2$ in the same bottle at the temperature of ...... $^{\circ}C$.

At the top of a mountain,a thermometer reads $7^{\circ}C$ and a barometer reads $70 \, cm$ of $Hg$. At the bottom of the mountain,these read $27^{\circ}C$ and $76 \, cm$ of $Hg$ respectively. The ratio of the density of air at the top to that at the bottom is

At a given temperature,the pressure of an ideal gas of density $\rho$ is proportional to

$A$ container $A$ contains a gas at thermodynamic coordinates $P, V,$ and $T$. Another container $B$ contains a different gas at $2P, V/4,$ and $2T$. The ratio of the number of molecules in container $A$ to the number of molecules in container $B$ is:

State the Avogadro hypothesis.

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