In a versus plot for a fixed mass of gas at constant pressure (isobars), if multiple lines are drawn — States of Matter and Gaseous State Chemistry Question
Question
In a $V$ versus $T (\text{in K})$ plot for a fixed mass of gas at constant pressure (isobars), if multiple lines are drawn for pressures $P_1, P_2, P_3$ such that $P_1 > P_2 > P_3$, their respective slopes $m_1, m_2, m_3$ will follow which order?
Answer: B
💡 Solution & Explanation
From the ideal gas equation $V = (nR/P)T$, the slope $m$ of the $V$ vs $T$ plot is $nR/P$. Since the slope is inversely proportional to pressure, the highest pressure ($P_1$) will have the lowest slope ($m_1$). Hence, $m_3 > m_2 > m_1$.
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