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(A) For a fixed mass $(m)$ of an ideal gas,the ideal gas equation is $pV = nRT$,where $n$ is constant.$(A)$ For $p$ vs $1/V$ (Boyle's Law): $p = (nRT)

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(A) For a fixed mass $(m)$ of an ideal gas,the ideal gas equation is $pV = nRT$,where $n$ is constant.$(A)$ For $p$ vs $1/V$ (Boyle's Law): $p = (nRT) 	imes (1/V)$. The slope is $nRT$. Since $T_1 > T_2 > T_3$,the slope $T_1 > T_2 > T_3$. This graph is correct.$(B)$ For $p$ vs $T$ (Gay-Lussac's Law): $p = (nR/V) 	imes T$. The slope is $nR/V$. Since $V_1 > V_2 > V_3$,the slope $1/V_1  V_2 > V_1$. The provided graph shows $V_1 > V_2 > V_3$,which is incorrect.$(C)$ For $V$ vs $p$ (Boyle's Law): $V = (nRT) 	imes (1/p)$. This is a rectangular hyperbola,not a straight line passing through the origin. The provided graph is incorrect.Therefore,the correct representation is $(A)$.

For a fixed mass of an ideal gas,which of the following is a correct representation?

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