A plot of volume (V) of the gas versus temper | vedclass

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(A) According to the ideal gas equation, $PV = nRT$, which can be rearranged as $V = (\frac{nR}{P})T$.This equation represents a straight line passing

Vedclass · Accepted Answer

$P_1 < P_2 < P_3$

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(A) According to the ideal gas equation, $PV = nRT$, which can be rearranged as $V = (\frac{nR}{P})T$.This equation represents a straight line passing through the origin $(V = mT)$, where the slope $(m)$ is equal to $\frac{nR}{P}$.Since the slope is inversely proportional to pressure $(P)$, a line with a steeper slope corresponds to a lower pressure.In the given plot, the slope of the line for $P_1$ is the highest, followed by $P_2$, and then $P_3$ (which has the lowest slope).Therefore, the order of pressure is $P_3 > P_2 > P_1$, or $P_1 < P_2 < P_3$.

List-$I$	List-$II$
$(1)$ Boyle's Law	$(A)$ $p \propto T$
$(2)$ Charles's Law	$(B)$ $V \propto n$
$(3)$ Gay-Lussac's Law	$(C)$ $p \propto \frac{1}{V}$
$(4)$ Avogadro's Law	$(D)$ $pV = nRT$
$(5)$ Ideal Gas Equation	$(E)$ $V = k_2T$

$A$ plot of volume $(V)$ of the gas versus temperature ($T$ in $K$) is shown below. Which of the following options is correct for the plot?

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