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Question

In Boyles experiment for a given gas at different temperatures the graph drawn between pressure and density are straight lines as shown then:


24870_a6b0f63fdead4e3c942abdcb54cdaff7.png
  1. T1>T2
  2. T2>T1
  3. T1=T2
  4. T31=T2

A
T31=T2
B
T1>T2
C
T2>T1
D
T1=T2
Solution
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First we derive an expression for density of a gas.
Density = mass(w)volume(V)
but we know that PV=nRT
now, n = wM where M is molecular weight
So, PV = wMRT
this gives wV=PMRT = density = d
so, P=dRTM
so pressure vs density graph will be a straight line with slope = RTM
Hence, steeper the line, more is slope and so more is temperature.
So here T1>T2

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