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(C) According to Boyle's law,for a fixed amount of gas at a constant temperature,the pressure is inversely proportional to the volume $(P \propto \fra

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(C) According to Boyle's law,for a fixed amount of gas at a constant temperature,the pressure is inversely proportional to the volume $(P \propto \frac{1}{V})$.Using the ideal gas equation,$PV = nRT$,we can rearrange it as:$P = (nRT) 	imes (\frac{1}{V})$This equation is in the form of $y = mx$,where $y = P$,$x = \frac{1}{V}$,and the slope $m = nRT$.Since the slope $(nRT)$ is directly proportional to the temperature $(T)$,a graph of $P$ versus $\frac{1}{V}$ will yield a straight line passing through the origin for each temperature. As the temperature increases,the slope $(nRT)$ also increases. Therefore,for $T_3 > T_2 > T_1$,the slope of the line for $T_3$ will be the steepest,followed by $T_2$ and then $T_1$.

Which amongst the following options is the correct graphical representation of Boyle's law?

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