${PV vs T graph of equal masses of H}_{2}, He and O_{2} is shown in figure . Choose the correct alternative .$

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${A→H}_{2}, B \to He and C \to O_{2}$

${A→He, B →H}_{2} and C \to O_{2}$

${A→He, B →O}_{2} and C \to H_{2}$

${A→O}_{2}, B \to He and C \to H_{2}$

answer is D.

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Detailed Solution

$\begin{array}{l} PV = \frac{m}{M} RT \\ slope = \frac{PV}{T} = \frac{mR}{M} \\ slope \propto \frac{1}{M} \\ {(slope)}_{A} < {(slope)}_{B} < {(slope)}_{C} \\ M_{A} > M_{B} > M_{C} \\ O_{2} is A, He is B and H_{2} is C \end{array}$

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