The figure shows the pressure P versus volume | vedclass

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Question

(C) For an ideal gas,the equation of state is $PV = nRT$. At a constant temperature $T$,the product $PV = nRT$ is constant for a given number of moles

Vedclass · Accepted Answer

$n_A > n_B$

Vedclass · Answer

(C) For an ideal gas,the equation of state is $PV = nRT$. At a constant temperature $T$,the product $PV = nRT$ is constant for a given number of moles $n$. From the graph,for a fixed volume $V$,the pressure $P_B > P_A$. Since $P_B V = n_B RT$ and $P_A V = n_A RT$,we have $P_B V > P_A V$,which implies $n_B RT > n_A RT$. Therefore,$n_B > n_A$. Since $n_B > n_A$,the statement $n_A > n_B$ (option $C$) is incorrect. Regarding the masses $M_A$ and $M_B$,the relationship depends on the molar masses of the gases,which are not specified. Thus,$M_A > M_B$ or $M_A  n_B$ is definitely incorrect based on the graph.

The figure shows the pressure $P$ versus volume $V$ graphs for two different gas samples at a given temperature. $M_A$ and $M_B$ are the masses of the two samples,and $n_A$ and $n_B$ are the numbers of moles. Which of the following must be incorrect?

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