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Q.

Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes is plotted as shown in figure. Choose the correct alternative.

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a

V1=V2,V3=V4 and V2>V3

b

V1=V2,V3=V4 and V2

c

V1=V2=V3=V4

d

V4>V3>V2>V1

answer is A.

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Detailed Solution

From ideal gas equation,PV=μRT∴ P=μRVTComparing, this equation with y = mxSlope of line,tan⁡θ=m=μR/V i.e.,  V∝1tan⁡θIt means line of smaller slope represents greater volume of gas.For the given problem figurePoints 1 and 2 are on the same line so they will represent same volume, i.e., V1=V2.Similarly points 3 and 4 are on the same line, so they will represent same volume, i.e., V3=V4.But V1>V3=V4 or V2>V3=V4 as slope of line 1 - 2 is less than that of 3 - 4.
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