Q.

A graph between pressure p (along Y-axis) and absolute temperature T(along X-axis) for equal moles of two gases has been drawn. Given that volume of second gas is more than volume of first gas. Which of the following statement(s) is/are correct? [JIPMER 2017]

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a

Volume of gas 1 is less than that of  gas 2.

b

Volume  of gas 1 is more than that of  gas 2.

c

Both have same volume.

d

None of the above

answer is B.

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Detailed Solution

According to ideal gas equation, pV = nRT⇒                                                  pT = nRVwhere, pT represents slope of the graph.As, the number of moles are same for the two gases.⇒                pT ∝ 1V∵                 V2>V1                                                         (Given)∵            (Slope)2 < (Slope)1     or     (Slope)1 > (Slope)2
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